using a number line what whole number and rational number to the nearest half is √10 between

To determine the whole number and rational number to the nearest half that √10 is between, we can draw a number line and mark the positions of the whole number and rational numbers that are closest to √10.

On the number line, √10 falls between 3 and 4. However, 3.5 is the rational number that is closest to √10.

Thus, √10 is between the whole number 3 and the rational number 3.5 (to the nearest half).

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To find the whole number and rational number closest to √10, let's first locate √10 on a number line.

The square root of 10 (√10) is approximately 3.162.

Next, we will identify the whole number and the rational number (to the nearest half) that falls between √10.

1. Whole number: The whole number that is closest to √10 is 3.

2. Rational number to the nearest half: The closest half to √10 lies between 3 and 4 on the number line. To be more precise, the rational number 3.5 is the nearest half to √10.

Therefore, the whole number closest to √10 is 3, and the rational number (to the nearest half) closest to √10 is 3.5.