Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)
10−−√ is between ___ and ___
To determine the whole number and rational number to the nearest half that 10−−√ is between, we can look for the whole number and the fraction that are closest to √10 on a number line.
√10 is approximately 3.162. The whole number that is less than 3.162 is 3 and the whole number that is greater than 3.162 is 4.
To find the rational number to the nearest half between 3 and 4, we can look for the fraction that is closest to the midpoint of 3 and 4, which is 3.5.
So, 10−−√ is between 3 and 3.5.
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To find the whole number and rational number closest to √10, we need to determine the two nearest half values.
First, we need to find the nearest whole number to √10 by rounding it. √10 is approximately equal to 3.162. The nearest whole number is 3.
Next, we find the two nearest half values. The half values on either side of 3 are 2.5 and 3.5.
Therefore, √10 is between 2.5 and 3.5.
So, 10−−√ is between 3 and 4.