Real Number System Review

A worksheet covering the classification, properties, and operations within the real number system for Grade 11.

Grade 11 Math Number SenseReal Number System

Use This Worksheet

Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerMatching

Standards

CCSS.MATH.CONTENT.HSN.RN.A.1CCSS.MATH.CONTENT.HSN.RN.A.2CCSS.MATH.CONTENT.HSN.RN.B.3

Topics

real numbersnumber systemalgebragrade 11

7 sections · Free to use · Printable

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Date:

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Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. Which of the following numbers is irrational?

√49

0.333...

-5

2. Which property of real numbers is demonstrated by the equation 3 + (5 + 2) = (3 + 5) + 2?

Commutative Property

Associative Property

Distributive Property

Identity Property

1. The set of numbers includes all rational and irrational numbers.

2. A number that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0, is called a number.

3. The property states that for any real numbers a, b, and c, a(b + c) = ab + ac.

1. All integers are natural numbers.

True

False

2. The product of two irrational numbers is always irrational.

True

False

1. Plot the numbers -2.5, 0, 1/2, and √9 on the number line below.

2. Explain the difference between rational and irrational numbers, providing an example of each.

Match each number set with its description.

1. Natural Numbers

a. Numbers that can be written as a/b where a and b are integers and b ≠ 0.

2. Integers

b. Counting numbers (1, 2, 3, ...).

3. Rational Numbers

c. All positive and negative whole numbers, including zero.

4. Irrational Numbers

d. Real numbers that cannot be expressed as a simple fraction.