ath 8 Q1 (Pre-Algebra) / The Number System Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point) 10−−√ is between___ and___ .

Answer 1

To find where \( \sqrt{10} \) (the square root of 10) lies on a number line and to the nearest half, first calculate the value of \( \sqrt{10} \).

1. \( \sqrt{10} \) is approximately 3.162.

Next, to determine the whole number it is between:

• The whole numbers surrounding \( \sqrt{10} \) are 3 and 4, since \( 3^2 = 9 \) and \( 4^2 = 16 \).

Now, to find it to the nearest half, consider the values:

• The nearest halves around 3.162 are 3 and 3.5.

Thus, \( \sqrt{10} \) is between 3 and 3.5.

So the final answer would be: \( \sqrt{10} \) is between 3 and 3.5.