Chapter 56: International Currency and Exchange Rates
Learn Grade 7 mathematics from very beginner explanations through worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches International Currency and Exchange Rates with simple language, step-by-step reasoning, and original worked examples. Technical words are explained in plain language.
Key Technical Terms
- Unit Rate (a rate per one unit)
- Exchange Rate (the value of one currency expressed in another currency)
- Interest Rate (percentage used to calculate interest)
- Fee (a charge for a service or account)
- Estimate (a close approximation used to check whether an answer is reasonable)
- Solution (a value or result that satisfies the problem)
- Representation (a way to show mathematics using symbols, diagrams, tables, graphs, or words)
- Reasonableness (whether an answer makes sense in the context of the problem)
How to Learn This Chapter
Read the explanation first, follow the examples one step at a time, cover the answer and retry the problem yourself, then use the practice and review questions to check understanding.
56.1 Canadian dollars
Canadian dollars is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Beginner Note
Identify what is given, what must be found, choose the correct rule or representation, work one step at a time, and check whether the result makes sense.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Canadian dollars: Identify a correct example.
- State the definition and show why the example fits.
- Show all important reasoning.
Very beginner explanation: Canadian dollars is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 2
Problem: Canadian dollars: Identify a non-example.
- Explain which requirement is missing.
- Show all important reasoning.
Very beginner explanation: Canadian dollars is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 3
Problem: Canadian dollars: Compare two cases.
- State one similarity and one difference.
- Show all important reasoning.
Very beginner explanation: Canadian dollars is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 4
Problem: Canadian dollars: Apply the idea in a real situation.
- Translate the situation into mathematical language.
- Show all important reasoning.
Very beginner explanation: Canadian dollars is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 5
Problem: Canadian dollars: Create and check your own example.
- Use the definition, then verify each condition.
- Show all important reasoning.
Very beginner explanation: Canadian dollars is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 6
Problem: Explain Canadian dollars in one simple sentence.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Canadian dollars becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: State the meaning, then give one small example.
Worked Example 7
Problem: Give one example that does not satisfy Canadian dollars and explain why.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Canadian dollars becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Identify the rule or condition that fails.
Worked Example 8
Problem: Show Canadian dollars using a table, diagram, number line, graph, or equation.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Canadian dollars becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Choose the representation that makes the relationship easiest to see.
Worked Example 9
Problem: After solving a Canadian dollars problem, how can you check the answer?
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Canadian dollars becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Use estimation, an inverse operation, substitution, or a second representation.
Worked Example 10
Problem: Give one real-life situation where Canadian dollars could be useful.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Canadian dollars becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Connect the idea to money, measurement, data, design, or technology.
Practice Exercise
Create one new question about Canadian dollars. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.
56.2 Foreign currency
Foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Beginner Note
Identify what is given, what must be found, choose the correct rule or representation, work one step at a time, and check whether the result makes sense.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: If 1 CAD = 0.74 foreign units, convert CAD 100.
- Multiply 100×0.74.
Very beginner explanation: Foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 74.00 foreign units
Worked Example 2
Problem: If 1 CAD = 0.74 foreign units, convert CAD 250.
- Multiply 250×0.74.
Very beginner explanation: Foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 185.00 foreign units
Worked Example 3
Problem: If 1 foreign unit = CAD 1.36, convert CAD 80 to foreign units.
- Divide 80÷1.36.
Very beginner explanation: Foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 58.82 foreign units
Worked Example 4
Problem: If 1 CAD = 0.74 foreign units, convert CAD 500.
- Multiply 500×0.74.
Very beginner explanation: Foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 370.00 foreign units
Worked Example 5
Problem: If 1 foreign unit = CAD 1.36, convert CAD 120 to foreign units.
- Divide 120÷1.36.
Very beginner explanation: Foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 88.24 foreign units
Worked Example 6
Problem: If 1 CAD = 0.74 foreign units, convert CAD 100.
- Multiply 100 × 0.74.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 74.00 foreign units
Worked Example 7
Problem: If 1 CAD = 0.68 foreign units, convert CAD 250.
- Multiply 250 × 0.68.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 170.00 foreign units
Worked Example 8
Problem: If 1 CAD = 1.15 foreign units, convert CAD 80.
- Multiply 80 × 1.15.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 92.00 foreign units
Worked Example 9
Problem: If 1 CAD = 0.91 foreign units, convert CAD 500.
- Multiply 500 × 0.91.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 455.00 foreign units
Worked Example 10
Problem: If 1 CAD = 1.32 foreign units, convert CAD 120.
- Multiply 120 × 1.32.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 158.40 foreign units
Practice Exercise
Create one new question about Foreign currency. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.
56.3 Meaning of exchange rate
A rate compares two quantities measured in different units. This topic focuses on Meaning of exchange rate .
Beginner Note
Identify what is given, what must be found, choose the correct rule or representation, work one step at a time, and check whether the result makes sense.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: 120 km in 2 h. Find the unit rate.
- Use rate = distance ÷ time.
- 120÷2=60.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Meaning of exchange rate .
Answer: 60 km/h
Worked Example 2
Problem: 180 km in 3 h. Find the unit rate.
- Use rate = distance ÷ time.
- 180÷3=60.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Meaning of exchange rate .
Answer: 60 km/h
Worked Example 3
Problem: 250 km in 5 h. Find the unit rate.
- Use rate = distance ÷ time.
- 250÷5=50.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Meaning of exchange rate .
Answer: 50 km/h
Worked Example 4
Problem: 72 km in 1.5 h. Find the unit rate.
- Use rate = distance ÷ time.
- 72÷1.5=48.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Meaning of exchange rate .
Answer: 48 km/h
Worked Example 5
Problem: 315 km in 4.5 h. Find the unit rate.
- Use rate = distance ÷ time.
- 315÷4.5=70.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Meaning of exchange rate .
Answer: 70 km/h
Worked Example 6
Problem: 120 km are travelled in 2 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 120 ÷ 2 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Worked Example 7
Problem: 180 km are travelled in 3 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 180 ÷ 3 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Worked Example 8
Problem: 240 km are travelled in 4 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 240 ÷ 4 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Worked Example 9
Problem: 300 km are travelled in 5 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 300 ÷ 5 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Worked Example 10
Problem: 360 km are travelled in 6 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 360 ÷ 6 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Practice Exercise
Create one new question about Meaning of exchange rate. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.
56.4 CAD to foreign currency
CAD to foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Beginner Note
Identify what is given, what must be found, choose the correct rule or representation, work one step at a time, and check whether the result makes sense.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: If 1 CAD = 0.74 foreign units, convert CAD 100.
- Multiply 100×0.74.
Very beginner explanation: CAD to foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 74.00 foreign units
Worked Example 2
Problem: If 1 CAD = 0.74 foreign units, convert CAD 250.
- Multiply 250×0.74.
Very beginner explanation: CAD to foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 185.00 foreign units
Worked Example 3
Problem: If 1 foreign unit = CAD 1.36, convert CAD 80 to foreign units.
- Divide 80÷1.36.
Very beginner explanation: CAD to foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 58.82 foreign units
Worked Example 4
Problem: If 1 CAD = 0.74 foreign units, convert CAD 500.
- Multiply 500×0.74.
Very beginner explanation: CAD to foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 370.00 foreign units
Worked Example 5
Problem: If 1 foreign unit = CAD 1.36, convert CAD 120 to foreign units.
- Divide 120÷1.36.
Very beginner explanation: CAD to foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 88.24 foreign units
Worked Example 6
Problem: If 1 CAD = 0.74 foreign units, convert CAD 100.
- Multiply 100 × 0.74.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 74.00 foreign units
Worked Example 7
Problem: If 1 CAD = 0.68 foreign units, convert CAD 250.
- Multiply 250 × 0.68.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 170.00 foreign units
Worked Example 8
Problem: If 1 CAD = 1.15 foreign units, convert CAD 80.
- Multiply 80 × 1.15.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 92.00 foreign units
Worked Example 9
Problem: If 1 CAD = 0.91 foreign units, convert CAD 500.
- Multiply 500 × 0.91.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 455.00 foreign units
Worked Example 10
Problem: If 1 CAD = 1.32 foreign units, convert CAD 120.
- Multiply 120 × 1.32.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 158.40 foreign units
Practice Exercise
Create one new question about CAD to foreign currency. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.
56.5 Foreign currency to CAD
Foreign currency to CAD is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Beginner Note
Identify what is given, what must be found, choose the correct rule or representation, work one step at a time, and check whether the result makes sense.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: If 1 CAD = 0.74 foreign units, convert CAD 100.
- Multiply 100×0.74.
Very beginner explanation: Foreign currency to CAD is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 74.00 foreign units
Worked Example 2
Problem: If 1 CAD = 0.74 foreign units, convert CAD 250.
- Multiply 250×0.74.
Very beginner explanation: Foreign currency to CAD is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 185.00 foreign units
Worked Example 3
Problem: If 1 foreign unit = CAD 1.36, convert CAD 80 to foreign units.
- Divide 80÷1.36.
Very beginner explanation: Foreign currency to CAD is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 58.82 foreign units
Worked Example 4
Problem: If 1 CAD = 0.74 foreign units, convert CAD 500.
- Multiply 500×0.74.
Very beginner explanation: Foreign currency to CAD is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 370.00 foreign units
Worked Example 5
Problem: If 1 foreign unit = CAD 1.36, convert CAD 120 to foreign units.
- Divide 120÷1.36.
Very beginner explanation: Foreign currency to CAD is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 88.24 foreign units
Worked Example 6
Problem: If 1 CAD = 0.74 foreign units, convert CAD 100.
- Multiply 100 × 0.74.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 74.00 foreign units
Worked Example 7
Problem: If 1 CAD = 0.68 foreign units, convert CAD 250.
- Multiply 250 × 0.68.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 170.00 foreign units
Worked Example 8
Problem: If 1 CAD = 1.15 foreign units, convert CAD 80.
- Multiply 80 × 1.15.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 92.00 foreign units
Worked Example 9
Problem: If 1 CAD = 0.91 foreign units, convert CAD 500.
- Multiply 500 × 0.91.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 455.00 foreign units
Worked Example 10
Problem: If 1 CAD = 1.32 foreign units, convert CAD 120.
- Multiply 120 × 1.32.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 158.40 foreign units
Practice Exercise
Create one new question about Foreign currency to CAD. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.
56.6 Reading exchange-rate tables
A rate compares two quantities measured in different units. This topic focuses on Reading exchange-rate tables .
Beginner Note
Identify what is given, what must be found, choose the correct rule or representation, work one step at a time, and check whether the result makes sense.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: 120 km in 2 h. Find the unit rate.
- Use rate = distance ÷ time.
- 120÷2=60.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Reading exchange-rate tables .
Answer: 60 km/h
Worked Example 2
Problem: 180 km in 3 h. Find the unit rate.
- Use rate = distance ÷ time.
- 180÷3=60.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Reading exchange-rate tables .
Answer: 60 km/h
Worked Example 3
Problem: 250 km in 5 h. Find the unit rate.
- Use rate = distance ÷ time.
- 250÷5=50.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Reading exchange-rate tables .
Answer: 50 km/h
Worked Example 4
Problem: 72 km in 1.5 h. Find the unit rate.
- Use rate = distance ÷ time.
- 72÷1.5=48.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Reading exchange-rate tables .
Answer: 48 km/h
Worked Example 5
Problem: 315 km in 4.5 h. Find the unit rate.
- Use rate = distance ÷ time.
- 315÷4.5=70.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Reading exchange-rate tables .
Answer: 70 km/h
Worked Example 6
Problem: 120 km are travelled in 2 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 120 ÷ 2 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Worked Example 7
Problem: 180 km are travelled in 3 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 180 ÷ 3 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Worked Example 8
Problem: 240 km are travelled in 4 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 240 ÷ 4 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Worked Example 9
Problem: 300 km are travelled in 5 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 300 ÷ 5 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Worked Example 10
Problem: 360 km are travelled in 6 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 360 ÷ 6 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Practice Exercise
Create one new question about Reading exchange-rate tables. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.
56.7 Multiplying by exchange rates
A tip is an extra amount, often calculated as a percent of a bill. This topic focuses on Multiplying by exchange rates .
Beginner Note
Identify what is given, what must be found, choose the correct rule or representation, work one step at a time, and check whether the result makes sense.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Find 10% of $80.
- Convert 10% to 0.1.
- Multiply by 80.
Very beginner explanation: A tip is an extra amount, often calculated as a percent of a bill. This topic focuses on Multiplying by exchange rates .
Answer: $8.00
Worked Example 2
Problem: Find 25% of $60.
- Convert 25% to 0.25.
- Multiply by 60.
Very beginner explanation: A tip is an extra amount, often calculated as a percent of a bill. This topic focuses on Multiplying by exchange rates .
Answer: $15.00
Worked Example 3
Problem: Find 15% of $120.
- Convert 15% to 0.15.
- Multiply by 120.
Very beginner explanation: A tip is an extra amount, often calculated as a percent of a bill. This topic focuses on Multiplying by exchange rates .
Answer: $18.00
Worked Example 4
Problem: Find 5% of $250.
- Convert 5% to 0.05.
- Multiply by 250.
Very beginner explanation: A tip is an extra amount, often calculated as a percent of a bill. This topic focuses on Multiplying by exchange rates .
Answer: $12.50
Worked Example 5
Problem: Find 13% of $75.
- Convert 13% to 0.13.
- Multiply by 75.
Very beginner explanation: A tip is an extra amount, often calculated as a percent of a bill. This topic focuses on Multiplying by exchange rates .
Answer: $9.75
Worked Example 6
Problem: Find 10% of $90.
- Convert 10% to 0.1.
- Multiply by 90.
Very beginner explanation: Percent of an amount is found by multiplying the amount by the percent written as a decimal.
Answer: $9.00
Worked Example 7
Problem: Find 25% of $64.
- Convert 25% to 0.25.
- Multiply by 64.
Very beginner explanation: Percent of an amount is found by multiplying the amount by the percent written as a decimal.
Answer: $16.00
Worked Example 8
Problem: Find 15% of $140.
- Convert 15% to 0.15.
- Multiply by 140.
Very beginner explanation: Percent of an amount is found by multiplying the amount by the percent written as a decimal.
Answer: $21.00
Worked Example 9
Problem: Find 5% of $260.
- Convert 5% to 0.05.
- Multiply by 260.
Very beginner explanation: Percent of an amount is found by multiplying the amount by the percent written as a decimal.
Answer: $13.00
Worked Example 10
Problem: Find 20% of $75.
- Convert 20% to 0.2.
- Multiply by 75.
Very beginner explanation: Percent of an amount is found by multiplying the amount by the percent written as a decimal.
Answer: $15.00
Practice Exercise
Create one new question about Multiplying by exchange rates. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.
56.8 Dividing by exchange rates
A rate compares two quantities measured in different units. This topic focuses on Dividing by exchange rates .
Beginner Note
Identify what is given, what must be found, choose the correct rule or representation, work one step at a time, and check whether the result makes sense.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: 120 km in 2 h. Find the unit rate.
- Use rate = distance ÷ time.
- 120÷2=60.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Dividing by exchange rates .
Answer: 60 km/h
Worked Example 2
Problem: 180 km in 3 h. Find the unit rate.
- Use rate = distance ÷ time.
- 180÷3=60.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Dividing by exchange rates .
Answer: 60 km/h
Worked Example 3
Problem: 250 km in 5 h. Find the unit rate.
- Use rate = distance ÷ time.
- 250÷5=50.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Dividing by exchange rates .
Answer: 50 km/h
Worked Example 4
Problem: 72 km in 1.5 h. Find the unit rate.
- Use rate = distance ÷ time.
- 72÷1.5=48.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Dividing by exchange rates .
Answer: 48 km/h
Worked Example 5
Problem: 315 km in 4.5 h. Find the unit rate.
- Use rate = distance ÷ time.
- 315÷4.5=70.
Very beginner explanation: A rate compares two quantities measured in different units. This topic focuses on Dividing by exchange rates .
Answer: 70 km/h
Worked Example 6
Problem: 120 km are travelled in 2 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 120 ÷ 2 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Worked Example 7
Problem: 180 km are travelled in 3 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 180 ÷ 3 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Worked Example 8
Problem: 240 km are travelled in 4 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 240 ÷ 4 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Worked Example 9
Problem: 300 km are travelled in 5 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 300 ÷ 5 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Worked Example 10
Problem: 360 km are travelled in 6 hours. Find the unit rate.
- Use rate = distance ÷ time.
- 360 ÷ 6 = 60.
Very beginner explanation: A unit rate compares a quantity with exactly one unit of another quantity.
Answer: 60 km/h
Practice Exercise
Create one new question about Dividing by exchange rates. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.
56.9 Comparing two currencies
Comparing two currencies is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Beginner Note
Identify what is given, what must be found, choose the correct rule or representation, work one step at a time, and check whether the result makes sense.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Comparing two currencies: Identify a correct example.
- State the definition and show why the example fits.
- Show all important reasoning.
Very beginner explanation: Comparing two currencies is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 2
Problem: Comparing two currencies: Identify a non-example.
- Explain which requirement is missing.
- Show all important reasoning.
Very beginner explanation: Comparing two currencies is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 3
Problem: Comparing two currencies: Compare two cases.
- State one similarity and one difference.
- Show all important reasoning.
Very beginner explanation: Comparing two currencies is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 4
Problem: Comparing two currencies: Apply the idea in a real situation.
- Translate the situation into mathematical language.
- Show all important reasoning.
Very beginner explanation: Comparing two currencies is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 5
Problem: Comparing two currencies: Create and check your own example.
- Use the definition, then verify each condition.
- Show all important reasoning.
Very beginner explanation: Comparing two currencies is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 6
Problem: Explain Comparing two currencies in one simple sentence.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Comparing two currencies becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: State the meaning, then give one small example.
Worked Example 7
Problem: Give one example that does not satisfy Comparing two currencies and explain why.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Comparing two currencies becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Identify the rule or condition that fails.
Worked Example 8
Problem: Show Comparing two currencies using a table, diagram, number line, graph, or equation.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Comparing two currencies becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Choose the representation that makes the relationship easiest to see.
Worked Example 9
Problem: After solving a Comparing two currencies problem, how can you check the answer?
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Comparing two currencies becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Use estimation, an inverse operation, substitution, or a second representation.
Worked Example 10
Problem: Give one real-life situation where Comparing two currencies could be useful.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Comparing two currencies becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Connect the idea to money, measurement, data, design, or technology.
Practice Exercise
Create one new question about Comparing two currencies. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.
56.10 Exchange fees introduction
A fee is a charge for a service or account. This topic focuses on Exchange fees introduction .
Beginner Note
Identify what is given, what must be found, choose the correct rule or representation, work one step at a time, and check whether the result makes sense.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Borrow $1000 at 6% simple interest for 2 years plus $25 fee. Find total repayment.
- Interest=1000×0.06×2=120.00.
- Total=1000+120.00+25.
Very beginner explanation: A fee is a charge for a service or account. This topic focuses on Exchange fees introduction .
Answer: $1145.00
Worked Example 2
Problem: Borrow $2000 at 5% simple interest for 3 years plus $40 fee. Find total repayment.
- Interest=2000×0.05×3=300.00.
- Total=2000+300.00+40.
Very beginner explanation: A fee is a charge for a service or account. This topic focuses on Exchange fees introduction .
Answer: $2340.00
Worked Example 3
Problem: Borrow $750 at 8% simple interest for 1 years plus $15 fee. Find total repayment.
- Interest=750×0.08×1=60.00.
- Total=750+60.00+15.
Very beginner explanation: A fee is a charge for a service or account. This topic focuses on Exchange fees introduction .
Answer: $825.00
Worked Example 4
Problem: Borrow $1500 at 4% simple interest for 4 years plus $30 fee. Find total repayment.
- Interest=1500×0.04×4=240.00.
- Total=1500+240.00+30.
Very beginner explanation: A fee is a charge for a service or account. This topic focuses on Exchange fees introduction .
Answer: $1770.00
Worked Example 5
Problem: Borrow $500 at 10% simple interest for 1 years plus $10 fee. Find total repayment.
- Interest=500×0.1×1=50.00.
- Total=500+50.00+10.
Very beginner explanation: A fee is a charge for a service or account. This topic focuses on Exchange fees introduction .
Answer: $560.00
Worked Example 6
Problem: If 1 CAD = 0.74 foreign units, convert CAD 100.
- Multiply 100 × 0.74.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 74.00 foreign units
Worked Example 7
Problem: If 1 CAD = 0.68 foreign units, convert CAD 250.
- Multiply 250 × 0.68.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 170.00 foreign units
Worked Example 8
Problem: If 1 CAD = 1.15 foreign units, convert CAD 80.
- Multiply 80 × 1.15.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 92.00 foreign units
Worked Example 9
Problem: If 1 CAD = 0.91 foreign units, convert CAD 500.
- Multiply 500 × 0.91.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 455.00 foreign units
Worked Example 10
Problem: If 1 CAD = 1.32 foreign units, convert CAD 120.
- Multiply 120 × 1.32.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 158.40 foreign units
Practice Exercise
Create one new question about Exchange fees introduction. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.
56.11 Travel-money problems
Travel-money problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Beginner Note
Identify what is given, what must be found, choose the correct rule or representation, work one step at a time, and check whether the result makes sense.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: If 1 CAD = 0.74 foreign units, convert CAD 100.
- Multiply 100×0.74.
Very beginner explanation: Travel-money problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 74.00 foreign units
Worked Example 2
Problem: If 1 CAD = 0.74 foreign units, convert CAD 250.
- Multiply 250×0.74.
Very beginner explanation: Travel-money problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 185.00 foreign units
Worked Example 3
Problem: If 1 foreign unit = CAD 1.36, convert CAD 80 to foreign units.
- Divide 80÷1.36.
Very beginner explanation: Travel-money problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 58.82 foreign units
Worked Example 4
Problem: If 1 CAD = 0.74 foreign units, convert CAD 500.
- Multiply 500×0.74.
Very beginner explanation: Travel-money problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 370.00 foreign units
Worked Example 5
Problem: If 1 foreign unit = CAD 1.36, convert CAD 120 to foreign units.
- Divide 120÷1.36.
Very beginner explanation: Travel-money problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 88.24 foreign units
Worked Example 6
Problem: Explain Travel-money problems in one simple sentence.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Travel-money problems becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: State the meaning, then give one small example.
Worked Example 7
Problem: Give one example that does not satisfy Travel-money problems and explain why.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Travel-money problems becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Identify the rule or condition that fails.
Worked Example 8
Problem: Show Travel-money problems using a table, diagram, number line, graph, or equation.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Travel-money problems becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Choose the representation that makes the relationship easiest to see.
Worked Example 9
Problem: After solving a Travel-money problems problem, how can you check the answer?
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Travel-money problems becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Use estimation, an inverse operation, substitution, or a second representation.
Worked Example 10
Problem: Give one real-life situation where Travel-money problems could be useful.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Travel-money problems becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Connect the idea to money, measurement, data, design, or technology.
Practice Exercise
Create one new question about Travel-money problems. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.
56.12 Online-purchase currency problems
Online-purchase currency problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Beginner Note
Identify what is given, what must be found, choose the correct rule or representation, work one step at a time, and check whether the result makes sense.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: If 1 CAD = 0.74 foreign units, convert CAD 100.
- Multiply 100×0.74.
Very beginner explanation: Online-purchase currency problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 74.00 foreign units
Worked Example 2
Problem: If 1 CAD = 0.74 foreign units, convert CAD 250.
- Multiply 250×0.74.
Very beginner explanation: Online-purchase currency problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 185.00 foreign units
Worked Example 3
Problem: If 1 foreign unit = CAD 1.36, convert CAD 80 to foreign units.
- Divide 80÷1.36.
Very beginner explanation: Online-purchase currency problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 58.82 foreign units
Worked Example 4
Problem: If 1 CAD = 0.74 foreign units, convert CAD 500.
- Multiply 500×0.74.
Very beginner explanation: Online-purchase currency problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 370.00 foreign units
Worked Example 5
Problem: If 1 foreign unit = CAD 1.36, convert CAD 120 to foreign units.
- Divide 120÷1.36.
Very beginner explanation: Online-purchase currency problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: 88.24 foreign units
Worked Example 6
Problem: If 1 CAD = 0.74 foreign units, convert CAD 100.
- Multiply 100 × 0.74.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 74.00 foreign units
Worked Example 7
Problem: If 1 CAD = 0.68 foreign units, convert CAD 250.
- Multiply 250 × 0.68.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 170.00 foreign units
Worked Example 8
Problem: If 1 CAD = 1.15 foreign units, convert CAD 80.
- Multiply 80 × 1.15.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 92.00 foreign units
Worked Example 9
Problem: If 1 CAD = 0.91 foreign units, convert CAD 500.
- Multiply 500 × 0.91.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 455.00 foreign units
Worked Example 10
Problem: If 1 CAD = 1.32 foreign units, convert CAD 120.
- Multiply 120 × 1.32.
Very beginner explanation: An exchange rate is a multiplier that converts one currency value to another.
Answer: 158.40 foreign units
Practice Exercise
Create one new question about Online-purchase currency problems. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.
56.13 Checking reasonableness
Checking reasonableness is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Beginner Note
Identify what is given, what must be found, choose the correct rule or representation, work one step at a time, and check whether the result makes sense.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Checking reasonableness: Identify a correct example.
- State the definition and show why the example fits.
- Show all important reasoning.
Very beginner explanation: Checking reasonableness is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 2
Problem: Checking reasonableness: Identify a non-example.
- Explain which requirement is missing.
- Show all important reasoning.
Very beginner explanation: Checking reasonableness is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 3
Problem: Checking reasonableness: Compare two cases.
- State one similarity and one difference.
- Show all important reasoning.
Very beginner explanation: Checking reasonableness is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 4
Problem: Checking reasonableness: Apply the idea in a real situation.
- Translate the situation into mathematical language.
- Show all important reasoning.
Very beginner explanation: Checking reasonableness is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 5
Problem: Checking reasonableness: Create and check your own example.
- Use the definition, then verify each condition.
- Show all important reasoning.
Very beginner explanation: Checking reasonableness is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Answer: A correct response must satisfy the definition or rule and include a check.
Worked Example 6
Problem: Explain Checking reasonableness in one simple sentence.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Checking reasonableness becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: State the meaning, then give one small example.
Worked Example 7
Problem: Give one example that does not satisfy Checking reasonableness and explain why.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Checking reasonableness becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Identify the rule or condition that fails.
Worked Example 8
Problem: Show Checking reasonableness using a table, diagram, number line, graph, or equation.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Checking reasonableness becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Choose the representation that makes the relationship easiest to see.
Worked Example 9
Problem: After solving a Checking reasonableness problem, how can you check the answer?
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Checking reasonableness becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Use estimation, an inverse operation, substitution, or a second representation.
Worked Example 10
Problem: Give one real-life situation where Checking reasonableness could be useful.
- Read the definition of the topic.
- Use the definition to build the response.
- Check that the response matches every important condition.
Very beginner explanation: Checking reasonableness becomes easier to understand when you connect its definition to examples, non-examples, and representations.
Answer: Connect the idea to money, measurement, data, design, or technology.
Practice Exercise
Create one new question about Checking reasonableness. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.
Chapter Notes, Practice, and Common Mistakes
Chapter Notes
- Read the complete question before choosing an operation, formula, graph, or model.
- Write technical words together with their meaning until you are comfortable using them.
- Show all important steps so another student can follow your reasoning.
- Keep units, labels, signs, axes, variables, and mathematical symbols clear.
- Estimate before or after calculating when an estimate can help check reasonableness.
- For real-life problems, explain what the final number means in the situation.
Extra Practice
- Create and solve a new question about Canadian dollars . Show your reasoning and check your answer.
- Create and solve a new question about Foreign currency . Show your reasoning and check your answer.
- Create and solve a new question about Meaning of exchange rate . Show your reasoning and check your answer.
- Create and solve a new question about CAD to foreign currency . Show your reasoning and check your answer.
- Create and solve a new question about Foreign currency to CAD . Show your reasoning and check your answer.
- Create and solve a new question about Reading exchange-rate tables . Show your reasoning and check your answer.
- Create and solve a new question about Multiplying by exchange rates . Show your reasoning and check your answer.
- Create and solve a new question about Dividing by exchange rates . Show your reasoning and check your answer.
- Create and solve a new question about Comparing two currencies . Show your reasoning and check your answer.
- Create and solve a new question about Exchange fees introduction . Show your reasoning and check your answer.
- Create and solve a new question about Travel-money problems . Show your reasoning and check your answer.
- Create and solve a new question about Online-purchase currency problems . Show your reasoning and check your answer.
Common Mistakes
- Reversing an exchange-rate calculation.
- Comparing financial options without including fees.
- Treating interest rate as a whole number instead of a decimal in calculations.
- Ignoring time when comparing savings or borrowing.
- Giving a number without explaining what it means.
30 Review Questions and Answers
Q1. What is important to remember about Canadian dollars?
Answer: Canadian dollars is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Q2. What is important to remember about Foreign currency?
Answer: Foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Q3. What is important to remember about Meaning of exchange rate?
Answer: A rate compares two quantities measured in different units. This topic focuses on Meaning of exchange rate.
Q4. What is important to remember about CAD to foreign currency?
Answer: CAD to foreign currency is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Q5. What is important to remember about Foreign currency to CAD?
Answer: Foreign currency to CAD is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Q6. What is important to remember about Reading exchange-rate tables?
Answer: A rate compares two quantities measured in different units. This topic focuses on Reading exchange-rate tables.
Q7. What is important to remember about Multiplying by exchange rates?
Answer: A tip is an extra amount, often calculated as a percent of a bill. This topic focuses on Multiplying by exchange rates.
Q8. What is important to remember about Dividing by exchange rates?
Answer: A rate compares two quantities measured in different units. This topic focuses on Dividing by exchange rates.
Q9. What is important to remember about Comparing two currencies?
Answer: Comparing two currencies is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Q10. What is important to remember about Exchange fees introduction?
Answer: A fee is a charge for a service or account. This topic focuses on Exchange fees introduction.
Q11. What is important to remember about Travel-money problems?
Answer: Travel-money problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Q12. What is important to remember about Online-purchase currency problems?
Answer: Online-purchase currency problems is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Q13. What is important to remember about Checking reasonableness?
Answer: Checking reasonableness is an important Grade 7 idea in International Currency and Exchange Rates. Identify what is known, what must be found, choose an appropriate strategy, show the important steps, and check whether the result is reasonable.
Q14. Why should you show your steps?
Answer: Showing steps makes reasoning easier to verify and helps locate mistakes.
Q15. Why is estimation useful?
Answer: Estimation helps you judge whether a final answer is reasonable before accepting it.
Q16. Why do units matter?
Answer: Units tell what a value measures and prevent incompatible quantities from being mixed.
Q17. When should you round?
Answer: Usually round near the end of a calculation unless the question specifically asks for earlier rounding.
Q18. How can you check an answer?
Answer: Use an inverse operation, substitution, estimation, a graph, or a second method.
Q19. What should you identify first in a word problem?
Answer: Identify what is known, what is unknown, and the relationship connecting them.
Q20. What makes a final answer complete?
Answer: Give the value, correct units when needed, and a brief interpretation in context.
Q21. What should you do if an answer seems unreasonable?
Answer: Re-read the question, check copied values, signs, units, formulas, and calculations.
Q22. Why are diagrams useful?
Answer: A labelled diagram can reveal relationships between lengths, angles, areas, and other quantities.
Q23. Why are tables useful?
Answer: Tables organize values and help reveal patterns, relationships, rates, and missing information.
Q24. Why should you explain your reasoning?
Answer: Reasoning shows why a method works, not just what answer you obtained.
Q25. How do mistakes help learning?
Answer: Analyzing a mistake identifies the misunderstood rule or step and helps prevent the same error later.
Q26. How should you study this chapter?
Answer: Review definitions, redo worked examples without looking, practise mixed questions, and explain solutions in your own words.
Q27. When is a calculator useful?
Answer: A calculator is useful for lengthy arithmetic after you understand the mathematical setup and can estimate the expected size of the answer.
Q28. Why compare more than one strategy?
Answer: Different strategies can make a problem easier and provide a way to verify the result.
Q29. What is a mathematical model?
Answer: It is a simplified mathematical representation of a real situation used to analyze, explain, or predict.
Q30. Why should assumptions be stated?
Answer: Assumptions show what conditions the solution depends on and help readers judge whether the model is reasonable.