Question

Use the number line below to determine where each of the following values would be located.

2π is between ___ and ___
√10 is between ___ and ___
√45 is between ___ and ___

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine where each of the given values would be located on the number line, we need to find the nearest whole numbers to each value.

1) 2π is approximately equal to 6.28. The nearest whole numbers to 6.28 are 6 and 7, so 2π is between 6 and 7 on the number line.

2) √10 is approximately equal to 3.16. The nearest whole numbers to 3.16 are 3 and 4, so √10 is between 3 and 4 on the number line.

3) √45 is approximately equal to 6.71. The nearest whole numbers to 6.71 are 6 and 7, so √45 is between 6 and 7 on the number line.