Question
Work this problem mentally, without pencil and paper or a calculator. Is -10 closer to -60 or 0 ?
Ask by Frank Todd. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
-10 is closer to 0 than to -60.
Solution
To determine whether -10 is closer to -60 or 0, we can compare the distances from -10 to each of these numbers.
1. **Distance from -10 to -60:**
- The distance can be calculated as:
\[
|-10 - (-60)| = |-10 + 60| = |50| = 50
\]
2. **Distance from -10 to 0:**
- The distance can be calculated as:
\[
|-10 - 0| = |-10| = 10
\]
Now, we compare the two distances:
- Distance to -60: 50
- Distance to 0: 10
Since 10 is less than 50, -10 is closer to 0 than to -60.
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Simplify this solution Extra Insights
Let's break it down! The distance from -10 to -60 is 50 units because you can think of it as moving left on the number line. On the other hand, the distance from -10 to 0 is 10 units, moving right on the number line. Since 10 is less than 50, -10 is clearly closer to 0 than -60. So the conclusion is: -10 is definitely nearer to 0!
