Estimating Between Two Consecutive Whole Numbers
Estimate which two consecutive whole numbers lies between.
Step 1 — Identify nearby perfect squares. List the perfect squares closest to 60 along with their square roots:
| Number | 36 | 49 | 64 | 81 |
|---|---|---|---|---|
| Square root | 6 | 7 | 8 | 9 |
Step 2 — Locate 60 between two consecutive perfect squares. Since , the number 60 falls between the consecutive perfect squares 49 and 64.
Step 3 — State the estimate. Because and , the square root of 60 must lie between 7 and 8:
The key step is building a short reference table of perfect squares near the target number so that the two bounding values can be identified quickly.
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