Which Expression Can Be Used To Convert 22 Australian Dollars To US Dollars? Assume 1.2 Australian Dollars Equals 1 US Dollar.A. $ 22 AUD × 1.2 USD 1 AUD \$ 22 \text{ AUD} \times \frac{1.2 \text{ USD}}{1 \text{ AUD}} $22 AUD × 1 AUD 1.2 USD ​ B. $ 22 \text{ AUD} \times \frac{1 \text{

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Introduction

When traveling abroad, it's essential to understand how to convert one currency to another. In this article, we'll explore the process of converting Australian dollars to US dollars using mathematical expressions. We'll examine two different expressions and determine which one is correct.

Understanding Currency Conversion

Currency conversion involves exchanging one currency for another at a specific exchange rate. In this case, we're given that 1.2 Australian dollars (AUD) equals 1 US dollar (USD). This means that if we have 22 AUD, we can convert it to USD using the given exchange rate.

Expression A: $22 AUD×1.2 USD1 AUD\$ 22 \text{ AUD} \times \frac{1.2 \text{ USD}}{1 \text{ AUD}}

The first expression is $22 AUD×1.2 USD1 AUD\$ 22 \text{ AUD} \times \frac{1.2 \text{ USD}}{1 \text{ AUD}}. This expression involves multiplying 22 AUD by the exchange rate of 1.2 USD per 1 AUD.

Breaking Down the Expression

Let's break down the expression to understand what's happening:

  • $22 AUD\$ 22 \text{ AUD} represents the amount of Australian dollars we want to convert.
  • 1.2 USD1 AUD\frac{1.2 \text{ USD}}{1 \text{ AUD}} represents the exchange rate, which is 1.2 USD per 1 AUD.

Multiplying the Amount by the Exchange Rate

When we multiply the amount by the exchange rate, we get:

$22 AUD×1.2 USD1 AUD=$22×1.2=$26.40\$ 22 \text{ AUD} \times \frac{1.2 \text{ USD}}{1 \text{ AUD}} = \$ 22 \times 1.2 = \$ 26.40

This means that 22 AUD is equivalent to 26.40 USD.

Expression B: $22 AUD×1 USD1.2 AUD\$ 22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}}

The second expression is $22 AUD×1 USD1.2 AUD\$ 22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}}. This expression involves multiplying 22 AUD by the exchange rate of 1 USD per 1.2 AUD.

Breaking Down the Expression

Let's break down the expression to understand what's happening:

  • $22 AUD\$ 22 \text{ AUD} represents the amount of Australian dollars we want to convert.
  • 1 USD1.2 AUD\frac{1 \text{ USD}}{1.2 \text{ AUD}} represents the exchange rate, which is 1 USD per 1.2 AUD.

Multiplying the Amount by the Exchange Rate

When we multiply the amount by the exchange rate, we get:

$22 AUD×1 USD1.2 AUD=$22×11.2=$18.33\$ 22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}} = \$ 22 \times \frac{1}{1.2} = \$ 18.33

This means that 22 AUD is equivalent to 18.33 USD.

Conclusion

In conclusion, the correct expression to convert 22 Australian dollars to US dollars is $22 AUD×1.2 USD1 AUD\$ 22 \text{ AUD} \times \frac{1.2 \text{ USD}}{1 \text{ AUD}}. This expression involves multiplying the amount of Australian dollars by the exchange rate of 1.2 USD per 1 AUD.

Why Expression A is Correct

Expression A is correct because it takes into account the exchange rate of 1.2 USD per 1 AUD. This means that for every 1 AUD, we get 1.2 USD. When we multiply 22 AUD by this exchange rate, we get the correct conversion rate of 26.40 USD.

Why Expression B is Incorrect

Expression B is incorrect because it takes into account the exchange rate of 1 USD per 1.2 AUD. This means that for every 1.2 AUD, we get 1 USD. When we multiply 22 AUD by this exchange rate, we get the incorrect conversion rate of 18.33 USD.

Final Answer

Introduction

When traveling abroad, it's essential to understand how to convert one currency to another. In this article, we'll explore the process of converting Australian dollars to US dollars using mathematical expressions. We'll examine two different expressions and determine which one is correct.

Understanding Currency Conversion

Currency conversion involves exchanging one currency for another at a specific exchange rate. In this case, we're given that 1.2 Australian dollars (AUD) equals 1 US dollar (USD). This means that if we have 22 AUD, we can convert it to USD using the given exchange rate.

Expression A: $22 AUD×1.2 USD1 AUD\$ 22 \text{ AUD} \times \frac{1.2 \text{ USD}}{1 \text{ AUD}}

The first expression is $22 AUD×1.2 USD1 AUD\$ 22 \text{ AUD} \times \frac{1.2 \text{ USD}}{1 \text{ AUD}}. This expression involves multiplying 22 AUD by the exchange rate of 1.2 USD per 1 AUD.

Breaking Down the Expression

Let's break down the expression to understand what's happening:

  • $22 AUD\$ 22 \text{ AUD} represents the amount of Australian dollars we want to convert.
  • 1.2 USD1 AUD\frac{1.2 \text{ USD}}{1 \text{ AUD}} represents the exchange rate, which is 1.2 USD per 1 AUD.

Multiplying the Amount by the Exchange Rate

When we multiply the amount by the exchange rate, we get:

$22 AUD×1.2 USD1 AUD=$22×1.2=$26.40\$ 22 \text{ AUD} \times \frac{1.2 \text{ USD}}{1 \text{ AUD}} = \$ 22 \times 1.2 = \$ 26.40

This means that 22 AUD is equivalent to 26.40 USD.

Expression B: $22 AUD×1 USD1.2 AUD\$ 22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}}

The second expression is $22 AUD×1 USD1.2 AUD\$ 22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}}. This expression involves multiplying 22 AUD by the exchange rate of 1 USD per 1.2 AUD.

Breaking Down the Expression

Let's break down the expression to understand what's happening:

  • $22 AUD\$ 22 \text{ AUD} represents the amount of Australian dollars we want to convert.
  • 1 USD1.2 AUD\frac{1 \text{ USD}}{1.2 \text{ AUD}} represents the exchange rate, which is 1 USD per 1.2 AUD.

Multiplying the Amount by the Exchange Rate

When we multiply the amount by the exchange rate, we get:

$22 AUD×1 USD1.2 AUD=$22×11.2=$18.33\$ 22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}} = \$ 22 \times \frac{1}{1.2} = \$ 18.33

This means that 22 AUD is equivalent to 18.33 USD.

Conclusion

In conclusion, the correct expression to convert 22 Australian dollars to US dollars is $22 AUD×1.2 USD1 AUD\$ 22 \text{ AUD} \times \frac{1.2 \text{ USD}}{1 \text{ AUD}}. This expression involves multiplying the amount of Australian dollars by the exchange rate of 1.2 USD per 1 AUD.

Why Expression A is Correct

Expression A is correct because it takes into account the exchange rate of 1.2 USD per 1 AUD. This means that for every 1 AUD, we get 1.2 USD. When we multiply 22 AUD by this exchange rate, we get the correct conversion rate of 26.40 USD.

Why Expression B is Incorrect

Expression B is incorrect because it takes into account the exchange rate of 1 USD per 1.2 AUD. This means that for every 1.2 AUD, we get 1 USD. When we multiply 22 AUD by this exchange rate, we get the incorrect conversion rate of 18.33 USD.

Final Answer

The final answer is $22 AUD×1.2 USD1 AUD=$26.40\$ 22 \text{ AUD} \times \frac{1.2 \text{ USD}}{1 \text{ AUD}} = \$ 26.40.

Q&A

Q: What is the exchange rate between Australian dollars and US dollars? A: The exchange rate is 1.2 AUD equals 1 USD.

Q: How do I convert 22 Australian dollars to US dollars? A: To convert 22 AUD to USD, you can use the expression $22 AUD×1.2 USD1 AUD\$ 22 \text{ AUD} \times \frac{1.2 \text{ USD}}{1 \text{ AUD}}.

Q: Why is Expression A correct and Expression B incorrect? A: Expression A is correct because it takes into account the exchange rate of 1.2 USD per 1 AUD. Expression B is incorrect because it takes into account the exchange rate of 1 USD per 1.2 AUD.

Q: What is the correct conversion rate for 22 AUD? A: The correct conversion rate for 22 AUD is 26.40 USD.

Q: Can I use Expression B to convert 22 AUD to USD? A: No, you should not use Expression B to convert 22 AUD to USD. It will give you an incorrect conversion rate.

Q: What is the difference between Expression A and Expression B? A: The difference between Expression A and Expression B is the exchange rate used. Expression A uses the exchange rate of 1.2 USD per 1 AUD, while Expression B uses the exchange rate of 1 USD per 1.2 AUD.

Q: How do I ensure I get the correct conversion rate? A: To ensure you get the correct conversion rate, use the expression that takes into account the correct exchange rate. In this case, use $22 AUD×1.2 USD1 AUD\$ 22 \text{ AUD} \times \frac{1.2 \text{ USD}}{1 \text{ AUD}}.

Q: Can I use this method to convert other currencies? A: Yes, you can use this method to convert other currencies as long as you have the correct exchange rate.

Q: What if I have a different exchange rate? A: If you have a different exchange rate, you can use the same method to convert the currency. Simply replace the exchange rate in the expression with the new one.

Conclusion

In conclusion, converting Australian dollars to US dollars using mathematical expressions can be a simple and accurate process. By understanding the exchange rate and using the correct expression, you can ensure you get the correct conversion rate.