Using a number line, what whole number and rational number to the nearest half is 97−−√ between?(1 point)
To find the whole number and rational number closest to √97, let's first find its approximate value.
Using a calculator, we find that √97 ≈ 9.84886.
The nearest whole number to 9.84886 is 10.
Now, let's find the rational number closest to √97 to the nearest half.
The nearest half of 9.84886 is 10.
Therefore, the whole number and rational number to the nearest half for √97 is 10.
Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)
To find the whole number and rational number to the nearest half that is between 97−−√, we can start by identifying the whole number that is closest to the square root of 97. Since 97 is between 81 (9^2) and 100 (10^2), we know that the square root of 97 is between 9 and 10.
Now let's find the rational number to the nearest half. To do this, we will divide the difference between the two whole numbers by 2, and add this value to the smaller whole number.
So, the nearest half would be:
9 + (10 - 9)/2 = 9 + 1/2 = 9.5
Therefore, the whole number closest to the square root of 97 is 9, and the rational number to the nearest half is 9.5.
To find the whole number and rational number nearest to √97, we can use a number line.
Start by locating the nearest whole number to √97. The square root of 97 falls between the whole numbers 9 and 10, as 9²=81 (less than 97) and 10²=100 (greater than 97). So √97 is closer to 10.
Next, determine the rational number closest to √97 to the nearest half. We can consider the half points on the number line between the whole numbers. In this case, the half point between 9 and 10 is 9.5.
Therefore, the whole number nearest to √97 is 10, and the rational number to the nearest half is 9.5.