Using a number line, what whole number and rational number to the nearest half is 40√ between?

2 answers

To determine the whole number and rational number to the nearest half that 40√ falls between, we need to determine the value of 40√ and find the whole number and rational number that is closest to it.

First, let's find the value of 40√:
40√ = 40 * √(1)
= 40 * (√(2^2) * √(10))
= 40 * (2 * √(10))
= 80√(10)

Now, let's find the whole number and rational number closest to 80√(10) to the nearest half using a number line:

- Using a calculator, we find that √(10) is approximately 3.162.
- Thus, 80√(10) is approximately 80 * 3.162 = 252.96.

On the number line, the whole number and rational number closest to 252.96 to the nearest half are:
252.5 and 253.

Therefore, the whole number and rational number to the nearest half that 40√ falls between are 252.5 and 253.
Using a number line, what whole number and rational number to the nearest half is √40 between?
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