8.NS.A.2 math practice. Learn by doing.

8.NS.A.2 practice covers use rational approximations of irrational numbers to compare their size and locate them approximately on a number line diagram. Work through 8 free questions with answers and explanations, then continue in the related math games.

Grade 81 mapped skills
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Skills aligned to 8.NS.A.2

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8 free questions · 0/0 correct

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Between which two consecutive integers does 40\sqrt{40} lie?

62=366^{2} = 36 and 72=49.7^{2} = 49\textsf{.} Since 36<40<49,36 < 40 < 49\textsf{,} 40\sqrt{40} is between 66 and 7.7\textsf{.}

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27\sqrt{27} lies between two consecutive integers. Enter the larger one.

52=25<27<36=625^2 = 25 < 27 < 36 = 6^2, so 27\sqrt{27} is between 55 and 66; the larger is 66.

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What integer is closest to 83\sqrt{83}?

92=819^2 = 81 is very close to 8383 and 83≈9.1\sqrt{83} \approx 9.1, so the closest integer is 99.

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What is the integer part of 10+2\sqrt{10} + 2?

10≈3.16\sqrt{10} \approx 3.16, so 10+2≈5.16\sqrt{10} + 2 \approx 5.16; the integer part is 55.

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Which is closest to π\pi?

π≈3.14159\pi \approx 3.14159.

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Which is closest to 2\sqrt{2}?

2≈1.414\sqrt{2} \approx 1.414.

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Which is closest to 3\sqrt{3}?

3≈1.732\sqrt{3} \approx 1.732.

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Which is closest to 5\sqrt{5}?

5≈2.236\sqrt{5} \approx 2.236.

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