Greene Sanders
08/21/2023 · Primary School
Use properties and mental math to sub \( \begin{array}{l} 382.5-141.9= \\ 382.5-+0.1=240.5 \\ +0.5\end{array} \) \( \begin{aligned} 382.5-141.9 & = \\ 382.5-\square & =240.5 \\ \square+0.1 & =\square\end{aligned} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the subtraction \( 382.5 - 141.9 \) using properties and mental math, we can break it down step by step.
1. **Estimate the subtraction**:
- We can round \( 141.9 \) to \( 142 \) for easier mental calculation.
- So, \( 382.5 - 142 \) is approximately \( 240.5 \).
2. **Exact calculation**:
- Now, let's calculate \( 382.5 - 141.9 \) directly.
- We can break it down as follows:
\[
382.5 - 141.9 = 382.5 - 141.0 - 0.9
\]
- First, calculate \( 382.5 - 141.0 \):
\[
382.5 - 141.0 = 241.5
\]
- Now subtract \( 0.9 \):
\[
241.5 - 0.9 = 240.6
\]
3. **Using properties**:
- We can also express the subtraction in terms of a missing number:
\[
382.5 - \square = 240.6
\]
- To find \( \square \), we can rearrange the equation:
\[
\square = 382.5 - 240.6
\]
- Now calculate \( 382.5 - 240.6 \):
\[
382.5 - 240.6 = 141.9
\]
4. **Final result**:
- Therefore, the exact result of \( 382.5 - 141.9 \) is \( 240.6 \).
So, the final answer is:
\[
382.5 - 141.9 = 240.6
\]
Quick Answer
\( 382.5 - 141.9 = 240.6 \)
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