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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 along with their square roots:
| Number | ||||
|---|---|---|---|---|
| Square root |
Step 2 — Locate between two consecutive perfect squares. Since , the number falls between the consecutive perfect squares and .
Step 3 — State the estimate. Because and , the square root of must lie between and :
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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OpenStax
Elementary Algebra @ OpenStax
Ch.9 Roots and Radicals - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
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