Using a number line, what whole number and rational number to the nearest half is √30 between?

1 answer

To find the whole number and rational number closest to √30, we need to locate √30 on a number line.

First, we can estimate the value of √30. Since 25 is the closest perfect square to 30, and 30 is larger than 25, we know that √30 will be slightly greater than √25. Since √25 equals 5, we know that √30 is slightly greater than 5.

Next, let's find the whole number that √30 is closest to. √30 is greater than 5 but less than 6. Therefore, the whole number closest to √30 is 6.

Finally, we need to find the rational number closest to √30 to the nearest half. The halfway point between 5 and 6 is 5.5. Since √30 is slightly greater than 5.5, the rational number closest to √30 to the nearest half is 6.