ATLAS Grade 8 The Number System. Practice it free.

Knows that there are numbers that are not rational and uses rational approximations of irrational numbers. This Grade 8 reporting domain maps to 3 practice skills and 8 representative questions from the playable bank.

Grade 83 mapped skills
What the test measures

The Number System skills

  1. Know that there are numbers that are not rational, and approximate them by rational numbers

  2. Work with square roots and cube roots

  3. Use rational approximations of irrational numbers to compare the size of irrational numbers

Standards basis

Arkansas Academic Standards for Mathematics (CCSS-M–aligned / Arkansas-adopted math standards) — Arkansas

How the ATLAS reports it

Arkansas’s statewide assessment system is ATLAS, which the ADE page says began serving in spring 2024. The official public page does not publish a math blueprint there, so the most defensible coverage map is the Arkansas math standards structure that ATLAS is aligned to.

Blueprint & weighting

ATLAS uses the Independent / state-specific framework (by grade domains structure).

Try it now

8 free questions · 0/0 correct

Practice playeasy

Solve for all values of x.x\textsf{.}

x3=125x^{3} = 125

5×5×5=125,5 \times 5 \times 5 = 125\textsf{,} so x=5.x = 5\textsf{.}

Practice playeasy

What is 1,0003?\sqrt[\text{\scriptsize 3}]{1{,}000}\textsf{?}

10×10×10=1,000,10 \times 10 \times 10 = 1{,}000\textsf{,} so 1,0003=10.\sqrt[\text{\scriptsize 3}]{1{,}000} = 10\textsf{.}

Practice playeasy

Which is closest to 5\sqrt{5}?

5≈2.236\sqrt{5} \approx 2.236.

Practice playeasy

Solve for all values of x.x\textsf{.}

x3=1,000x^{3} = 1{,}000

10×10×10=1,000,10 \times 10 \times 10 = 1{,}000\textsf{,} so x=10.x = 10\textsf{.}

Practice playeasy

What is 643\sqrt[3]{64}?

4×4×4=644 \times 4 \times 4 = 64, so 643=4\sqrt[3]{64} = 4.

Practice playeasy

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{.}

Practice playeasy

Solve for all values of x.x\textsf{.}

x2=81x^{2} = 81

9×9=819 \times 9 = 81 and (−9)×(−9)=81,(-9) \times (-9) = 81\textsf{,} so x=±9.x = \pm 9\textsf{.}

Practice playeasy

Solve for the positive value of xx: x2=121x^2 = 121.

x=121=11x = \sqrt{121} = 11 because 11×11=12111 \times 11 = 121.

Keep practicing

Turn the number system into game time.

The ATLAS placement starts with this test's real coverage map and finds the right difficulty.