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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Tutor-Verified Answer
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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