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Answer :
Sure! Let's go through each statement about adding 97 and 68 mentally to determine whether they are true or false.
1. 97 is 3 less than 100.
- If you compare 97 and 100, you'll see that 97 is indeed 3 less than 100 (since 100 - 97 = 3).
- This statement is true.
2. 68 can be broken into 65 + 3.
- By breaking down 68, you can indeed split it into 65 and 3 (since 65 + 3 equals 68).
- This statement is true.
3. 97 + 3 + 65 will have the same sum as 97 + 68.
- Let's break it down:
- First, add 3 to 97 to get 100.
- Then add 65 to 100 to get a total of 165.
- Now, calculate 97 + 68 directly:
- It also equals 165.
- Both calculations give the same result, so this statement is true.
4. 97 + 68 = 165.
- Adding 97 and 68 indeed results in a sum of 165.
- This statement is true.
5. 97 + 68 = 171.
- We have already calculated that 97 + 68 equals 165, not 171.
- Therefore, this statement is false.
In conclusion, 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.
- 97 + 68 = 165.
The statements above are true, and the statement "97 + 68 = 171" is false.
1. 97 is 3 less than 100.
- If you compare 97 and 100, you'll see that 97 is indeed 3 less than 100 (since 100 - 97 = 3).
- This statement is true.
2. 68 can be broken into 65 + 3.
- By breaking down 68, you can indeed split it into 65 and 3 (since 65 + 3 equals 68).
- This statement is true.
3. 97 + 3 + 65 will have the same sum as 97 + 68.
- Let's break it down:
- First, add 3 to 97 to get 100.
- Then add 65 to 100 to get a total of 165.
- Now, calculate 97 + 68 directly:
- It also equals 165.
- Both calculations give the same result, so this statement is true.
4. 97 + 68 = 165.
- Adding 97 and 68 indeed results in a sum of 165.
- This statement is true.
5. 97 + 68 = 171.
- We have already calculated that 97 + 68 equals 165, not 171.
- Therefore, this statement is false.
In conclusion, 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.
- 97 + 68 = 165.
The statements above are true, and the statement "97 + 68 = 171" is false.
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