Using a number line, what whole number and rational number to the nearest half is √30 between?
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.
To find the whole number and the rational number to the nearest half that √30 is between, we can start by finding the whole number that is closest to √30.
From the square root of 30, we know that √30 ≈ 5.48.
The whole number closest to 5.48 is 5.
Now, let's find the rational number to the nearest half that √30 is between.
Since 5.48 is closer to 5.5 than it is to 5, the rational number to the nearest half that √30 is between is 5.5.
Therefore, √30 is between the whole number 5 and the rational number 5.5 on the number line.