Using a number line, what whole number and rational number to the nearest half is 30−−√
between?(1 point)
Responses
4.5 and 5
4.5 and 5
5.5 and 6
5.5 and 6
5 and 5.5
5 and 5.5
6 and 6.5
To determine the whole number and rational number nearest to √30, let's use a number line.
First, we need to find the whole number that √30 is closest to. We know that √30 is between √25 (which is 5) and √36 (which is 6). Since 30 is closer to 36 than to 25, the whole number closest to √30 is 6.
Next, let's find the rational number (number with a decimal) that is closest to √30. We can divide the interval between 5 and 6 into halves.
So the number line could look like this:
____________________________________________
4.5 5 5.5 6
√30
Now, it is clear that √30 is closer to 5.5 than to 6. Therefore, the rational number closest to √30 is 5.5.
Thus, the whole number and rational number to the nearest half that √30 is between are 5 and 5.5.