
To estimate: the given value to the nearest integer

Answer to Problem 3PT
The required solution is
Explanation of Solution
Given:
Calculation:
In order to solve this problem, take the number whose square root is to be found and check for the two perfect squares between which the given number lies. Clearly 102 lies between
The square of the number to be found i.e. 102 lies between two perfect squares. Hence the number must be between the two integers whose perfect squares have been taken. But negative of the square root is given.
Thus, the range of the number will be the same but the sign will reverse.
Hence
Check the difference of the two perfect squares from the original number. Check for shorter distance.
Clearly 102 is closer to 100. Hence negative of square root of 102 should have integer estimate of (-10).
Conclusion:
Thus, the required solution is
Chapter 10 Solutions
Pre-Algebra Student Edition
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