Using a number line, what whole number and rational number to the nearest half is 58−−√ between?
between 8.5 and 9
between 7 and 7.5
between 8 and 8.5
between 7.5 and 8
The square root of 58 is approximately 7.6157. Since it is between 7 and 8, we can conclude that it is between 7 and 7.5 on a number line. Therefore, the correct answer is between 7 and 7.5.
To find the whole number and rational number to the nearest half that 58−−√ is between, we can use a number line:
Number Line:
7 7.5 8 8.5 9
|--------|---------|---------|---------|
Since 58−−√ is between 8 and 8.5, the whole number and rational number to the nearest half that it is between is 8 and 8.5.
To determine the whole number and rational number to the nearest half that √58 is between, we can approximate the value of √58.
Step 1: Find the square root of 58.
√58 ≈ 7.61577
Step 2: Determine the whole number and rational number to the nearest half that √58 is between.
The whole number closest to 7.61577 is 8.
To find the rational number to the nearest half, we consider the range between 8 and 8.5. Since 7.61577 is closer to 8 than to 8.5, the rational number √58 is between can be approximated as 8.
Therefore, the correct answer is between 8 and 8.5.