Multiplying Rational Numbers

This worksheet focuses on multiplying rational numbers, including fractions, decimals, and mixed numbers, for Grade 10 students.

Grade 10 Math Number SenseMultiplying Rational Numbers

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.7.NS.A.2.ACCSS.MATH.CONTENT.7.NS.A.2.C

Topics

mathrational numbersmultiplicationgrade 10

9 sections · Free to use · Printable

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Multiplying Rational Numbers

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Read each question carefully and show your work for full credit. Simplify all answers to their lowest terms.

1. Multiply the following fractions. Simplify your answer.

a) (3/4) × (2/5) =

b) (-7/8) × (4/3) =

c) (5/6) × (-9/10) =

2. Calculate the product of the following decimals.

a) 0.25 × 1.2 =

b) -3.4 × 0.5 =

c) (-0.06) × (-2.5) =

3. Multiply the following mixed numbers. Remember to convert them to improper fractions first. Simplify your answer.

a) 1 (1/2) × 2 (1/3) =

b) -3 (1/4) × 1 (1/5) =

4. Which of the following expressions has a positive product?

(-2/3) × (1/4)

0.5 × (-1.5)

(-1/2) × (-0.75)

-2 × (3/4)

5. Determine if the following statements are true or false.

a) The product of two negative rational numbers is always negative.

True

False

b) Multiplying a rational number by 1 does not change its value.

True

False

6. Solve the following word problem.

A recipe calls for 2 (1/4) cups of flour. If you want to make 1 (1/2) times the recipe, how much flour do you need?

7. Visualize the multiplication of 1/2 by 3 on the number line below. Mark the result.

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