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The population of a country is 3 .2 xx 1...

The population of a country is 3 .2 `xx 10^6` . If there are `8 xx 10^5` children, then find the number of adults.

A

`3 xx 10^3`

B

`8 xx 10^3`

C

`2.4 xx 10^6`

D

`2.4 xx 10^5`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we need to find the number of adults in a country given the total population and the number of children. ### Step-by-Step Solution: 1. **Identify the total population and the number of children:** - The total population of the country is given as \( 3.2 \times 10^6 \). - The number of children is given as \( 8 \times 10^5 \). 2. **Convert the scientific notation to standard form:** - \( 3.2 \times 10^6 = 3,200,000 \) (This is the total population). - \( 8 \times 10^5 = 800,000 \) (This is the number of children). 3. **Set up the equation to find the number of adults:** - The number of adults can be calculated by subtracting the number of children from the total population: \[ \text{Number of adults} = \text{Total population} - \text{Number of children} \] 4. **Substitute the values into the equation:** \[ \text{Number of adults} = 3,200,000 - 800,000 \] 5. **Perform the subtraction:** \[ 3,200,000 - 800,000 = 2,400,000 \] 6. **Convert the result back to scientific notation:** - \( 2,400,000 = 2.4 \times 10^6 \). 7. **Final answer:** - The number of adults in the country is \( 2.4 \times 10^6 \).
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