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MA.8.NSO.1.1 · Number Sense and Operations and Probability

Irrational Numbers and Estimating Them on a Number Line: Sample FAST Questions

Irrational numbers are the 8th grade extension of the number system to values like √30 and π that never end and never repeat. Students decide whether a number is rational or irrational, estimate an irrational value between two whole numbers, then sharpen that estimate to place an expression such as 1 + √30 on a number line.

How the FAST tests this benchmark

On the FAST, this shows up as multiple choice items asking which two integers a square root falls between, multiselect items where students pick every irrational value in a list, and drop-down items completing an estimate. The scientific calculator makes the estimating easy, so the trap is classification, not arithmetic.

Skills students need

  • Classify numbers as rational or irrational
  • Estimate a square root between two whole numbers
  • Refine an estimate of an irrational number to the nearest tenth
  • Locate expressions containing irrational numbers on a number line

Try 6 real MA.8.NSO.1.1 questions

These come straight from Algebro's 8th grade pre-algebra question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

Answer it and Algebro checks it instantly

Question 1EasyMultiple Select
Select ALL of the numbers below that are rational.

Select every answer that applies, then check.

Showcase extra: the real practice and quiz players do not have this button.

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More 8th grade number sense and probability benchmarks

MA.8.NSO.1.2

Plotting, Ordering, and Comparing Rational and Irrational Numbers

MA.8.NSO.1.3

Laws of Exponents with Integer Exponents

MA.8.NSO.1.4

Scientific Notation and Comparing Magnitudes

MA.8.NSO.1.1: Irrational Numbers Practice | Algebro