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

1 answer

To determine which whole number and rational number to the nearest half is √58 in between, let's plot it on a number line:

We know that √58 is between 7 and 8, as √49 = 7 and √64 = 8.

To determine the rational number to the nearest half, we need to find the midpoint between 7 and 8.
The midpoint between two numbers can be found by adding them and dividing the sum by 2.

(7 + 8) / 2 = 15 / 2 = 7.5

So, √58 is between the whole numbers 7 and 8, and between the rational numbers 7 and 7.5.
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