Using a number line, what whole number and rational number to the nearest half is √58 between

1. Between 8.5 and 9
2. Between 7.5 and 8
3. Between 8 and 8.5
4. Between 7 and 7.5

3 answers

To solve this problem, we can start by finding the whole numbers that √58 is between on the number line.

1. Between 8.5 and 9:
The whole number 9 is the higher bound, and we can square this number to find its square root: √(9^2) = √81 = 9.
Since √58 is less than 9, it must be between 8 and 8.5.

2. Between 7.5 and 8:
The whole number 8 is the higher bound, and we can square this number to find its square root: √(8^2) = √64 = 8.
Since √58 is less than 8, it must be between 7.5 and 8.

3. Between 8 and 8.5:
The whole number 8.5 is the higher bound, and we can square this number to find its square root: √(8.5^2) is approximately 9.192.
Since √58 is less than 9.192 and greater than 8, it is between 8 and 8.5.

4. Between 7 and 7.5:
The whole number 7.5 is the higher bound, and we can square this number to find its square root: √(7.5^2) is approximately 8.660.
Since √58 is less than 8.660 and greater than 8, it is between 7 and 7.5.

Therefore, the answer is:
1. Between 8 and 8.5.
2. Between 7.5 and 8.
3. Between 8 and 8.5.
4. Between 7 and 7.5.
may i have one answer which one is right??
Apologies for the confusion. Here is the correct answer:

Out of the given options, the nearest whole number and rational number to the nearest half that √58 is between are:

1. Between 8 and 8.5.