Ages 13–14🧮 Mathematics19 verified questions on this shelf

Number Sets & Infinity

Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers

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Question 1 of 3

Using the approximations √2 ≈ 1.41 and √3 ≈ 1.73, which of the following statements is true?

Question 2 of 3

Using the approximations √7 ≈ 2.65 and π ≈ 3.14, which inequality correctly compares the two numbers?

Question 3 of 3

Using the approximations $\sqrt{2} \approx 1.414$ and $\sqrt{3} \approx 1.732$ , which of the following numbers is the greatest?

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What a child can do after this Skill

Explain that rational numbers can be written as a fraction of two integers and have terminating or repeating decimals
Give examples of irrational numbers and explain why their decimal expansions neither terminate nor repeat
Appreciate that between any two numbers there are infinitely many other numbers

Curriculum standards this Skill teaches

CCSS.Math.Content.8.NS.1 — Know that numbers that are not rational are called irrational
CCSS.Math.Content.8.NS.2 — Use rational approximations of irrational numbers to compare the size of irrational…
NCERT.Class9.Math.NumberSystems — Number systems: rational, irrational, real numbers
KS3.Maths.Num.16 — Infinite Nature of Number Sets
NCERT.Class10.Math.RealNumbers — Real numbers: Euclid's algorithm, fundamental theorem of arithmetic

More in Number Representation & Place Value

All 52 Skills in Number Representation & Place Value →

Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.