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16.003xx27.998-209.010=?...

`16.003xx27.998-209.010=?`

A

150

B

200

C

75

D

240

Text Solution

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The correct Answer is:
To solve the equation \( 16.003 \times 27.998 - 209.010 \), we will approximate the numbers for easier calculation. ### Step-by-Step Solution: 1. **Approximate the Numbers**: - For \( 16.003 \), since the decimal part (0.003) is less than 0.5, we round it down to \( 16 \). - For \( 27.998 \), since the decimal part (0.998) is greater than 0.5, we round it up to \( 28 \). - For \( 209.010 \), since the decimal part (0.010) is less than 0.5, we round it down to \( 209 \). Thus, we have: \[ 16.003 \approx 16, \quad 27.998 \approx 28, \quad 209.010 \approx 209 \] 2. **Multiply the Approximated Values**: \[ 16 \times 28 \] To calculate this, we can break it down: \[ 16 \times 28 = 16 \times (20 + 8) = (16 \times 20) + (16 \times 8) = 320 + 128 = 448 \] 3. **Subtract the Approximated Value**: Now we subtract \( 209 \) from \( 448 \): \[ 448 - 209 \] To perform this subtraction: \[ 448 - 209 = 239 \] 4. **Round the Result**: The result \( 239 \) can be approximated to the nearest ten, which is \( 240 \). ### Final Answer: Thus, the final answer is approximately: \[ \boxed{240} \]

To solve the equation \( 16.003 \times 27.998 - 209.010 \), we will approximate the numbers for easier calculation. ### Step-by-Step Solution: 1. **Approximate the Numbers**: - For \( 16.003 \), since the decimal part (0.003) is less than 0.5, we round it down to \( 16 \). - For \( 27.998 \), since the decimal part (0.998) is greater than 0.5, we round it up to \( 28 \). - For \( 209.010 \), since the decimal part (0.010) is less than 0.5, we round it down to \( 209 \). ...
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