Alexander Parsons
07/11/2024 · Middle School

d. Express your answer in the s \( 231 \mathrm{~m} 31 \mathrm{~cm}-14 \mathrm{~m} 48 \mathrm{~cm} \)

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Step-by-step Solution

To perform the subtraction \( 231 \, \text{m} \, 31 \, \text{cm} - 14 \, \text{m} \, 48 \, \text{cm} \), we first need to convert everything to the same unit. We can convert meters to centimeters for easier calculation. 1 meter = 100 centimeters. Now, let's convert the measurements: - \( 231 \, \text{m} = 231 \times 100 \, \text{cm} = 23100 \, \text{cm} \) - \( 14 \, \text{m} = 14 \times 100 \, \text{cm} = 1400 \, \text{cm} \) Now we can express the original values in centimeters: - \( 231 \, \text{m} \, 31 \, \text{cm} = 23100 \, \text{cm} + 31 \, \text{cm} = 23131 \, \text{cm} \) - \( 14 \, \text{m} \, 48 \, \text{cm} = 1400 \, \text{cm} + 48 \, \text{cm} = 1448 \, \text{cm} \) Now we can perform the subtraction: \[ 23131 \, \text{cm} - 1448 \, \text{cm} = 21683 \, \text{cm} \] Now, we convert \( 21683 \, \text{cm} \) back to meters and centimeters: - To find the meters, divide by 100: \[ 21683 \, \text{cm} \div 100 = 216 \, \text{m} \quad \text{(whole number part)} \] - To find the remaining centimeters, take the remainder: \[ 21683 \, \text{cm} - (216 \times 100) = 21683 \, \text{cm} - 21600 \, \text{cm} = 83 \, \text{cm} \] Thus, the final answer is: \[ \boxed{216 \, \text{m} \, 83 \, \text{cm}} \]

Quick Answer

The final answer is \( 216 \, \text{m} \, 83 \, \text{cm} \).
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