Course 3 • Chapter 1 Real Numbers 5

Program: M. S. Math 2013

Vendor: Six Red Marbles

Component: C01_CT

Grade: Course 3REVISED PDF

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.Chapter 1 Test, Form 2A

Evaluate each expression. Preparation for 8.2(C)

1. (-5) 3 2. 2 5 _ 8 2

3. How is - 9 _ 15 written as decimal? Preparation for 8.2(C)

4. How is 0. −−

75 written as fraction in simplest form? Preparation for 8.2(C)

5. The Statue of Liberty weighs 450,000 pounds. What is this number written in scientific notation? 8.2(C)

6. How is the expression 1 0 −5 written using a positive exponent? Preparation for 8.2(C)

7. What is the value of the expression - √ �� 144 _ 100 ? 8.2(B)

8. The area of a square sandbox is 83 square feet. To the nearest foot, what is the

perimeter of the sandbox? 8.2(B)

9. Tito is installing a new kitchen floor. The kitchen is square in shape and has an area of 441 square feet. What is the length of one side of Tito’s kitchen? 8.2(B)

10. Solve the equation x 2 = 400. Preparation for 8.2(B)

11. Is the point shown on the number line below closer to - √ � 20 or - √ � 25 ? 8.2(B)

-4 -3 -2 -1 0-5-6-7-8-9-10

12. To the nearest whole number, what is the best estimate for √ �� 214 ? 8.2(B)

13. Estimate 3 √____

130 to the nearest integer. 8.2(B)

14. Order the set of numbers at the right from least to greatest. Verify { √__ 5 , - √

__ 6 , 2 1 _ 2 , -3 }

your answer by graphing the numbers on a number line. 8.2(D)

-2-3 -1 0 1 2 3

-125 1 _ 2

-0.6

25 _ 33

4.5 × 1 0 5

1 _ 1 0 5

-

6 _ 5 or -1 1 _ 5

36 ft

21 ft

± 20

- √ �� 20

15

5

{ -3, - √

__ 6 , √

__ 5 , 2 1 _ 2 }

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Course 3 • Chapter 1 Real Numbers6

Program: M. S. Math 2013

Vendor: Six Red Marbles

Component: C01_CT

Grade: Course 3PDF

NAME ___________________________________________________ DATE ______________________ PERIOD ____________

SCORE _____________Copyright ©

McG

raw-H

ill Education. Permission is granted to reproduce for classroom

use.Chapter 1 Test, Form 2A (continued)

15. An ounce of water is equal to 0.0295 liter. What is this number written in scientific notation?

8.2(C)

16. The diameter of carbon atom is about 3.4 × 10 –7 millimeter. Is it more appropriate to report the diameter of carbon atom as 3.4 × 10 –7 millimeter or 3.4 × 10 –13 kilometer? Explain your reasoning. 8.2(C)

Classify each number by determining all sets of numbers to which it belongs. 8.2(A)

17. 7 _ 8 18.

√ � 5 19. -7

20. Write each number in Exercises 17–19 in the Venn diagram. 8.2(A)

WholeNumbers

IntegersIrrationalNumbers

Rational Numbers

75

78

Use a problem-solving model to solve each problem.

21. Heather compared the diameter of different objects in the solar system for a science project. She recorded the data in the table. Write the diameter of each object in scientific notation. Which objects have a diameter greater than 1.3 × 1 0 7 meters? 8.2(C)

Object Diameter (m)Diameter in

Scientific Notation

Saturn 120,536,000Earth 12,756,200Sun 1,391,000,000asteroid 132,000

22. Thomas used 25 square tiles to cover a patio with an area of 75 square feet. Paul used 20 square tiles to cover a patio with an area of 100 square feet. Sarah used 30 square tiles to cover a patio with an area of 120 square feet. Who used the square tile with the greatest side length, and what was its side length to the nearest hundredth ? 8.2(B), 8.2(D)

1.20536 × 1 0 8 1.27562 × 1 0 7

1.391 × 1 0 9 1.32 × 1 0 5

2.95 × 1 0 -2

3.4 × 1 0 -7 millimeter; the number is very small, so choosing

a smaller unit of measure is more meaningful.

rational irrational integer; rational

Sample answer:

the Sun and Saturn

Paul; 2.24 ft

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