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📝 Estimating Square Roots: Practice B (8.NS.A.2)

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Use rational approximations of irrational numbers. Solve each problem.

1. √112 is between which two whole numbers? Estimate to the nearest tenth.
2. √71 is between which two whole numbers? Estimate to the nearest tenth.
3. √84 is between which two whole numbers? Estimate to the nearest tenth.
4. √23 is between which two whole numbers? Estimate to the nearest tenth.
5. √20 is between which two whole numbers? Estimate to the nearest tenth.
6. √145 is between which two whole numbers? Estimate to the nearest tenth.
7. √63 is between which two whole numbers? Estimate to the nearest tenth.
8. √139 is between which two whole numbers? Estimate to the nearest tenth.
9. √106 is between which two whole numbers? Estimate to the nearest tenth.
10. √134 is between which two whole numbers? Estimate to the nearest tenth.
11. √68 is between which two whole numbers? Estimate to the nearest tenth.
12. √70 is between which two whole numbers? Estimate to the nearest tenth.
Answer key: 1) 10 and 11; ≈ 10.6 · 2) 8 and 9; ≈ 8.4 · 3) 9 and 10; ≈ 9.2 · 4) 4 and 5; ≈ 4.8 · 5) 4 and 5; ≈ 4.5 · 6) 12 and 13; ≈ 12.0 · 7) 7 and 8; ≈ 7.9 · 8) 11 and 12; ≈ 11.8 · 9) 10 and 11; ≈ 10.3 · 10) 11 and 12; ≈ 11.6 · 11) 8 and 9; ≈ 8.2 · 12) 8 and 9; ≈ 8.4
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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 — a second set of 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

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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 A (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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