Properties of Rational Numbers Review

A Grade 11 math worksheet reviewing the properties of rational numbers, including operations, density, and closure.

Grade 11 Math Number SenseProperties of Rational Numbers

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Includes

Multiple ChoiceTrue / FalseFill in the BlanksShort AnswerCustom

Standards

CCSS.MATH.CONTENT.HSA.APR.A.1CCSS.MATH.CONTENT.HSN.RN.B.3

Topics

rational numbersnumber sensealgebragrade 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 for full credit.

1. Which of the following numbers is NOT a rational number?

0.75

√9

-2/3

2. The product of two rational numbers is always:

Irrational

Rational

An integer

A whole number

1. The set of rational numbers is closed under division (excluding division by zero).

True

False

2. Between any two distinct rational numbers, there exists an infinite number of other rational numbers.

True

False

1. A rational number can be expressed as a where 'p' and 'q' are integers and 'q' is not equal to zero.

2. The property that states a + b = b + a for rational numbers is called the property of addition.

1. Explain the difference between a rational and an irrational number, providing an example for each.

2. Demonstrate the density property of rational numbers by finding a rational number between 1/3 and 1/2. Show your work.

1. Plot the following rational numbers on the number line below: -1.5, 0.25, 2/3, -3.