Question
- Reasoning You add
Do you both get the same answer? Use an addition property to explain.
Do you both get the same answer? Use an addition property to explain.
Ask by Powell Brooks. in the United States
Jan 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Yes, both you and your friend will get the same answer because the order of adding numbers doesn’t change the sum. This is due to the Commutative Property of Addition, which means you can add numbers in any order and still get the same total.
Solution
Yes, both you and your friend will get the same answer when adding the numbers
Commutative Property of Addition
The commutative property states that the order in which numbers are added does not change the sum. In mathematical terms:
This means you can rearrange the numbers in any order, and the total will remain the same.
Applying It to Your Problem
Let’s add the numbers in both orders:
-
Your Addition:
- First, add
. - Then, add
.
- First, add
-
Your Friend’s Addition:
- First, add
. - Then, add
.
- First, add
Conclusion
Both addition sequences result in the same sum:
This demonstrates that the Commutative Property of Addition holds true, ensuring that changing the order of addition does not affect the final result.
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Simplify this solution The Deep Dive
Absolutely! When you add
Moreover, let’s say you’re ever in doubt about your arithmetic skills; you can always rearrange the numbers to make them easier to work with. For instance, pairing numbers that add up to 100 (like 602 and 125) can make mental math simpler. Just remember to double-check with a calculator if you’re dealing with larger numbers!
