Using a number line what whole number and rational number to the nearest half is √10 between
To determine which whole number and rational number to the nearest half, we need to locate √10 on a number line.
√10 is a value between 3 and 4.
To find the whole number nearest √10, we look for the integer closest to the square root of 10. In this case, the closest whole number to √10 is 3.
To find the rational number to the nearest half, we look for the fraction closest to √10 on the number line. Since √10 is between 3 and 4, we take the average of these numbers to find the midpoint: (3 + 4) / 2 = 7/2.
Therefore, the whole number nearest √10 is 3, and the rational number to the nearest half is 7/2.
To find the whole number and rational number nearest to √10 on a number line, we can start by finding the integer values that are closest to √10.
√10 is approximately 3.1623. The closest whole number to 3.1623 is 3, and the closest whole number less than 3.1623 is 2.
To find the rational number to the nearest half, we need to determine which half (out of 0.5 and 1) is closer to √10. We can calculate the difference between √10 and each of the two halves:
√10 - 0.5 = 2.6623
√10 - 1 = 2.1623
Comparing the differences, we can see that the half closer to √10 is 1.
Therefore, on a number line, the whole number nearest to √10 is 3, and the rational number to the nearest half is 3.5.