Course 3 • Chapter 1 Real Numbers 7

Program: M. S. Math 2013

Vendor: Six Red Marbles

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Grade: Course 3PDF

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.Chapter 1 Test, Form 3A

43210

1. Write 2.1 − 8 as a mixed number in simplest form. Preparation for 8.2(C)

2. Evaluate a 2 - b 3 if a = 4 and b = -3. Preparation for 8.2(C)

3. Write 7 –5 using a positive exponent. Preparation for 8.2(C)

Express each number in standard form. 8.2(C)

4. 3.07 × 10 −4 5. 2.1 × 10 -4

6. The volume of a drop of water is 0.00005 liter. Express this number in scientific

notation. 8.2(C)

7. Determine which is greater: 8 or 3 √ �� 510 . Explain your reasoning. 8.2(B)

8. The area of a square carpet tile is 900 square centimeters. What is the length of one

edge of the tile? 8.2(B)

9. The square root of 35.017 is between which two rational numbers? 8.2(B)

10. The average distance between Jupiter and Sun is about 778,400,000 kilometers. What is

this number written in scientific notation? 8.2(C)

11. Solve the equation x 2 = 625. 8.2(B)

12. Order the set of numbers at the right from greatest to least. Verify your answer by graphing on the number line. 8.2(D) { π, 7 _ 2 , √

___ 10 }

13. The closest distance from Saturn to Earth is about 1.2 × 10 9 kilometers. Is it more appropriate to report this distance as 1.2 × 10 9 kilometers or 1.2 × 10 14 centimeters? Explain your reasoning. 8.2(C)

14. To the nearest integer, what is the best estimate for √ �� 410 ? 8.2(B)

15. What is the value of the expression √ �� 196 _ 49 ? 8.2(B)

2 17 _ 90 43

1 _ 7 5

0.000307

5 × 10 -5

Sample answer: 8, since 8 3 = 512 and 512 > 510

30 cm

5 and 6

7.784 × 10 8

± 25

{ 7 _ 2 , √___

10 , π }

1.2 × 10 9 kilometers; the number is very large, so choosing

a larger unit of measure is more meaningful.

0.00021

20

2

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Course 3 • Chapter 1 Real Numbers8

Program: M. S. Math 2013

Vendor: Six Red Marbles

Component: C01_CT

Grade: Course 3REVISED PDF

NAME ___________________________________________________ DATE ______________________ PERIOD ____________

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ill Education. Permission is granted to reproduce for classroom

use.Chapter 1 Test, Form 3A (continued) 16. A small bacteria cell measures about 0.00000001 meter. Express the decimal as a

power of 10. Preparation for 8.2(C)

17. The area between the four bases on a softball field is in the shape of a square, with the four bases forming the vertices of the square. The area of this part of the field is 4,225 square feet. What is the distance from home plate to first base, or the length of the side of the square?

8.2(B)

18. Write the numbers - 2 _ 5 , -8, π, and √ � 31 in the Venn diagram. 8.2(A)

WholeNumbers

Integers

IrrationalNumbers

Rational Numbers

8π, 31

25

Use a problem-solving model to solve each problem.

19. 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 × 10 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

20. Brian is allergic to pollen. The diameter of a grain of pollen is between 1.2 × 10 -5 meter and 9 × 10 -5 meter. Brian’s air conditioner has a filter that removes particles larger than 0.0000003 meter. Will the filter remove the pollen? Explain. 8.2(C)

21. 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)

22. When light enters water, colors with shorter wavelengths bend more than colors with longer wavelengths. Violet light has a wavelength of 4.3 × 10 -7 meter and red light has a wavelength of 6.7 × 10 -5 centimeter. Which of these colors will bend more when it enters water? Justify your answer. 8.2(C)

10 -8

65 ft

Sample answer:

the Sun and Saturn

Sample answer: Yes; the filter will

remove particles larger than

3 × 10 -7 meter and a grain

of pollen is larger than this.

Paul; 2.24 ftSample answer: violet; 4.3 × 10 -7

meter is less than 6.7 × 10 -5 meter

1.20536 × 1 0 8 1.27562 × 1 0 7

1.391 × 1 0 9 1.32 × 1 0 5

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