Question

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 65 + 3. 97 + 3 + 65 will have the same sum as 97 + 68. 97 + 68 = 165 97 + 68 = 171

Answer 1

Let's evaluate each statement one by one regarding the addition of 97 and 68:

1. **97 is 3 less than 100.**
- **True**. 100 - 97 = 3.

2. **68 can be broken into 65 + 3.**
- **True**. 65 + 3 = 68.

3. **97 + 3 + 65 will have the same sum as 97 + 68.**
- **True**. Rearranging the terms: 97 + 68 = 97 + (65 + 3) = (97 + 3) + 65, which is valid by the associative property of addition.

4. **97 + 68 = 165.**
- **False**. The correct calculation: 97 + 68 = 165 is incorrect; it actually equals 165.

5. **97 + 68 = 171.**
- **True**. The correct calculation: 97 + 68 = 165, which is indeed false. **167** is the correct answer.

So, 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.

However, the equality in statement 4 and 5 is false.