Using a number line, what whole number and rational number to the nearest half is √58 between?
Let's first find the whole number which is closest to √58. We know that √58 is slightly less than 8 since √64 is equal to 8. Therefore, the whole number that √58 is closest to is 7.
Next, let's find the nearest half that √58 is between. We will consider the numbers that are halfway between consecutive whole numbers. The number halfway between 7 and 8 is 7.5.
Therefore, √58 is between the whole number 7 and the rational number 7.5.
To find the whole number and rational number that √58 is between to the nearest half on a number line, we need to determine the whole number and rational number that are closest to √58.
First, let's find the square root of 58:
√58 ≈ 7.61577
Now, let's identify the whole numbers that are closest to 7.61577. We have 7 and 8.
Next, let's find the rational numbers to the nearest half between these two whole numbers. The rational number closest to 7 is 7.5, and the rational number closest to 8 is 8.0.
Therefore, to the nearest half, √58 is between:
Whole number: 7
Rational number: 7.5
So, √58 is between 7 and 7.5 on the number line.