NJSLA Grade 8 The Number System. Practice it free.

Know that there are numbers that are not rational, and approximate them by rational numbers. This Grade 8 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grade 8NS1 mapped skills

What the test measures

The Number System skills

8.NS.A.1 Know that numbers that are not rational are called irrational
8.NS.A.2 Use rational approximations of irrational numbers

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Official sources

New Jersey Department of Education - Assessment
New Jersey Department of Education - 2023 NJSLS-Mathematics
NJDOE - Statewide Assessment Testing Schedule 2026-27

Practice by skill

Topics mapped to this domain

Irrational number approximations

Grade 820 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

Which is closest to $\sqrt{5}$ ?

$\sqrt{5} \approx 2.236$ .

Practice playeasy

$\sqrt{40}$ is between two consecutive integers. Enter the smaller one.

$6^2 = 36 < 40 < 49 = 7^2$ , so $\sqrt{40}$ is between $6$ and $7$ ; the smaller is $6$ .

Practice playeasy

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

$5^2 = 25 < 27 < 36 = 6^2$ , so $\sqrt{27}$ is between $5$ and $6$ ; the larger is $6$ .

Practice playeasy

What integer is closest to $\sqrt{120}$ ?

$11^2 = 121$ sits right above $120$ and $\sqrt{120} \approx 10.95$ , so the closest integer is $11$ .

Practice playeasy

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

$\sqrt{10} \approx 3.16$ , so $\sqrt{10} + 2 \approx 5.16$ ; the integer part is $5$ .

Practice playeasy

Which is closest to $\pi$ ?

$\pi \approx 3.14159$ .

Practice playeasy

Which is closest to $\sqrt{2}$ ?

$\sqrt{2} \approx 1.414$ .

Practice playeasy

Which is closest to $\sqrt{3}$ ?

$\sqrt{3} \approx 1.732$ .

Keep practicing

Turn the number system into game time.

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

Batting Cage game cover

Batting CagePlay →

Blaster Gate game cover

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Blitz Tanks game cover

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Buzzer Beater game cover

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Related Common Core standards

The Number System in other NJSLA grades

Grade 6 Grade 7

The same skills on other tests

i-Ready AASA ACAP ATLAS

Source and test overview

All NJSLA prep Official test source

Reporting categories

More Grade 8 domains

Expressions and EquationsWork with radicals and integer exponents; understand the connections between proportional relationships, lines, and linear equations; analyze and solve linear equations and pairs of simultaneous linear equations.8 QsPractice →FunctionsDefine, evaluate, and compare functions; use functions to model relationships between quantities.8 QsPractice →GeometryUnderstand congruence and similarity using physical models, transparencies, or geometry software; understand and apply the Pythagorean theorem; solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.8 QsPractice →Statistics and ProbabilityInvestigate patterns of association in bivariate data.8 QsPractice →