Question
2.2 Find the answer: \( 124+(211+342)=124+(342+\square \)
Ask by Ross Klein. in South Africa
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The missing value \( \square \) is 211.
Solution
To solve for the missing value \( \square \) in the equation:
\[
124 + (211 + 342) = 124 + (342 + \square)
\]
Let's break it down step by step:
1. **Compute the left side of the equation:**
\[
124 + (211 + 342) = 124 + 553 = 677
\]
2. **Express the right side of the equation:**
\[
124 + (342 + \square) = 124 + 342 + \square = 466 + \square
\]
3. **Set the two sides equal to each other and solve for \( \square \):**
\[
466 + \square = 677
\]
\[
\square = 677 - 466 = 211
\]
**Answer:** \( \boxed{211} \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution
Mind Expander
Sure! Let's break it down. We know that \( 124 + (211 + 342) \) simplifies to \( 124 + 553 \), which equals \( 677 \). Now we need to solve \( 124 + (342 + \square) \). To find the missing number (denote it as \( x \)), we set up the equation: \[ 124 + (342 + x) = 677. \] This simplifies to: \[ 342 + x = 677 - 124, \] which gives: \[ 342 + x = 553. \] Now, subtract \( 342 \) from both sides: \[ x = 553 - 342 = 211. \] So, the answer for \( \square \) is \( 211 \).