Using a number line, what whole number and rational number to the nearest half is 40−−√ between? bot answer
To find the whole number and rational number to the nearest half that is between 40−−√, we can use a number line.
First, let's find the two whole numbers that 40−−√ is between.
40−−√ is between 6 and 7 because 40−−√ is greater than the square root of 36 (which is 6) and less than the square root of 49 (which is 7).
Next, let's find the two rational numbers to the nearest half that 40−−√ is between.
The square root of 36 is 6, so we can use 6 as the first rational number. The square root of 49 is 7, so we can use 7 as the second rational number.
Therefore, the whole number and rational numbers to the nearest half that is between 40−−√ are 6 and 7.
To determine the whole number and rational number closest to √40, let's start by finding the square root of 40.
√40 ≈ 6.32
To approximate the nearest half, we can round this number to the nearest multiple of 0.5.
The number line can help us visualize this:
|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|...|
-3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12
Therefore, the whole number closest to √40 is 6, and the rational number closest to √40 to the nearest half is 6.5.