✏️ Estimating Square Roots: Practice A (8.NS.A.2)
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Use rational approximations of irrational numbers. Solve each problem.
1. √127 is between which two whole numbers? Estimate to the nearest tenth.
2. √131 is between which two whole numbers? Estimate to the nearest tenth.
3. √113 is between which two whole numbers? Estimate to the nearest tenth.
4. √71 is between which two whole numbers? Estimate to the nearest tenth.
5. √128 is between which two whole numbers? Estimate to the nearest tenth.
6. √27 is between which two whole numbers? Estimate to the nearest tenth.
7. √126 is between which two whole numbers? Estimate to the nearest tenth.
8. √111 is between which two whole numbers? Estimate to the nearest tenth.
9. √101 is between which two whole numbers? Estimate to the nearest tenth.
10. √58 is between which two whole numbers? Estimate to the nearest tenth.
11. √137 is between which two whole numbers? Estimate to the nearest tenth.
12. √67 is between which two whole numbers? Estimate to the nearest tenth.
Answer key: 1) 11 and 12; ≈ 11.3 · 2) 11 and 12; ≈ 11.4 · 3) 10 and 11; ≈ 10.6 · 4) 8 and 9; ≈ 8.4 · 5) 11 and 12; ≈ 11.3 · 6) 5 and 6; ≈ 5.2 · 7) 11 and 12; ≈ 11.2 · 8) 10 and 11; ≈ 10.5 · 9) 10 and 11; ≈ 10.0 · 10) 7 and 8; ≈ 7.6 · 11) 11 and 12; ≈ 11.7 · 12) 8 and 9; ≈ 8.2
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Worksheets › Grade 8 Math › Estimating Square Roots › Estimating Square Roots
Grade 8 (ages 13–14)Numbers & mathsFree printable PDF
About this grade 8 worksheet
Free Grade 8 math worksheet (Common Core 8.NS.A.2): estimating square roots — twelve practice problems, with answer key. Skill: Use rational approximations of irrational numbers. Level: Grade 8 — also suits Year 9 (UK).
For teachers: skills & standards
- CCSS 8.NS.A.2: Use rational approximations of irrational numbers
- Works as a morning-work page, a centre/station activity, homework or an early-finisher task.
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What age is it for?
It is designed for Grade 8 (ages 13–14), but use it with any child who is ready.
What skills does it build?
Use rational approximations of irrational numbers.
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More “Estimating Square Roots” printables (8.ns.a.2: use rational approximations of irrational numbers)
Estimating Square Roots: Practice B (8.NS.A.2) · Estimating Square Roots: Mixed Practice & Reasoning (8.NS.A.2) · Estimating Square Roots: Show Your Thinking (8.NS.A.2) · Estimating Square Roots: Quick Check (8.NS.A.2)
All 5 estimating square roots sheets → · Grade 8 Math: all 10 skills → · All Common Core grades
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