Question

Circle all the numbers that round to 5.6 when rounded to the nearest tenth.

- 5.57
- 5.54
- 5.62
- 5.66
- 6.62
- 5.59
- 5.51

Answer 1

When rounded to the nearest tenth, the numbers 5.57, 5.62, and 5.59 round to 5.6 following rounding rules that dictate whether to round up or down based on the digit to be dropped.

Step-by-step explanation:

We need to circle all the numbers that round to 5.6 when rounded to the nearest tenth.

Rounding rules are as follows:

1. If the number to be dropped is greater than or equal to 5, increase the number to its left by 1.
2. If the number to be dropped is less than 5, there is no change.

Applying these rules:

1. 5.57 - rounds up because the second decimal place is 7, which is greater than 5.
2. 5.54 - rounds down because the second decimal place is 4, which is less than 5.
3. 5.62 - rounds up because the second decimal place is 2, which is less than 5, but since it is greater than 5.55, it rounds to 5.6.
4. 5.66 - rounds up because the second decimal place is 6, which is greater than 5.
5. 6.62 - does not round to 5.6 because it is closer to 6.6 when rounded to the nearest tenth.
6. 5.59 - rounds up because the second decimal place is 9, which is greater than 5.
7. 5.51 - rounds down because the second decimal place is 1, which is less than 5.

Therefore, the numbers that round to 5.6 when rounded to the nearest tenth are 5.57, 5.62, and 5.59.