AQA GCSE Maths
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What are Exchange rates?
Exchange Rates
What Are Exchange Rates?
Exchange rates are used to compare and convert between different currencies. They determine how much one unit of currency is worth in another.
Example Exchange Rate:
- 1 British Pound () = 1.17 Euros (€1.17)
- 1 US Dollar () = 155.62 Japanese Yen ()
- 1 Australian Dollar (A) = 102.09 Japanese Yen ()
Exchange rates fluctuate daily based on global financial markets.
How to Convert Between Currencies
To convert between currencies, use the exchange rate provided.
Converting from One Currency to Another
- To convert from the base currency, multiply by the exchange rate.
- To convert to the base currency, divide by the exchange rate.
Example 1: Converting GBP to EUR
- Exchange rate: = €1.17
- Convert to Euros:
Final Answer: €32.76
Example 2: Converting EUR to GBP
- Exchange rate: £1 = €1.17
- Convert €75 to Pounds:
Final Answer: (rounded to the nearest penny)
Worked Example
On a particular day:
1 US Dollar () = 155.62 Japanese Yen ()
1 Australian Dollar (A) = 102.09 Japanese Yen ()
An item costs USD. Find the cost in Australian Dollars (A).
Tuity Tip
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Always check the exchange rate carefully—ensure you are using the correct direction of conversion.
Use multiplication to convert from the base currency and division to convert back.
Round to two decimal places when dealing with money.
For multi-step conversions, always convert to a common currency (e.g., JPY) before converting to the final currency.
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