High School

Which statements are true about adding 97 and 68 mentally? Check all that apply.

- 97 is 3 less than 100.
- 68 can be broken into [tex]$65 + 3$[/tex].
- [tex]$97 + 3 + 65$[/tex] will have the same sum as [tex]$97 + 68$[/tex].
- [tex]$97 + 68 = 165$[/tex]
- [tex]$97 + 68 = 171$[/tex]

Answer :

Let's analyze each statement to determine which are true:

1. Statement: "97 is 3 less than 100."
- Explanation: If you add 3 to 97, you get 100. Thus, 97 is indeed 3 less than 100.
- Verdict: True

2. Statement: "68 can be broken into 65 + 3."
- Explanation: By splitting 68 into two parts, 65 and 3, you still have the same total because 65 + 3 equals 68.
- Verdict: True

3. Statement: "97 + 3 + 65 will have the same sum as 97 + 68."
- Explanation: Breaking down 68 into 65 and 3 means you can first add 97 and 3 to get 100, then add 65. So, 100 + 65 is the same as directly adding 97 + 68.
- Verdict: True

4. Statement: "97 + 68 = 165."
- Explanation: The actual sum of 97 + 68 is not 165.
- Verdict: False

5. Statement: "97 + 68 = 171."
- Explanation: Calculating 97 + 68 results in 165, not 171.
- Verdict: False

Based on the analysis, the true statements are:

- "97 is 3 less than 100."
- "68 can be broken into 65 + 3."
- "97 + 3 + 65 will have the same sum as 97 + 68."

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