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Rational Number Operations Worksheet

Grade 10 Math worksheet covering operations with rational numbers, including addition, subtraction, multiplication, and division, with real-world applications.

Grade 10 Math Number SenseRational Number Operations
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.A.1

Topics

MathGrade 10Rational NumbersOperations
7 sections · Free to use · Printable
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Rational Number Operations

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Read each question carefully and perform the indicated operations with rational numbers. Show all your work for full credit.

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

2. When adding or subtracting rational numbers, you must first find a  .

3. To divide by a rational number, you multiply by its  .

4. Which of the following is an irrational number?

a

0.75

b

√9

c

π

d

-5

5. What is the product of 3/4 and -2/5?

a

6/20

b

-3/10

c

15/8

d

-10/3

6. Evaluate: 2/3 + (-1/6)

7. Evaluate: 5/8 - 1/4

8. Evaluate: (-7/10) ÷ (14/5)

9. The sum of two rational numbers is always a rational number.

T

True

F

False

10. The product of a non-zero rational number and an irrational number is always irrational.

T

True

F

False

11. A recipe calls for 1 3/4 cups of flour. If you want to make 2/3 of the recipe, how much flour do you need?

12. A car travels a distance of 120 1/2 miles in 2 1/4 hours. What is the average speed of the car in miles per hour?