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

1 answer

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.
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