Exponents and Scientific Notation

Name ________________________________________ Date __________________ Class __________________
MODULE
15
Exponents and Scientific Notation
Module Quiz: D
1. Which number is equal to the following?
9 × 10
8. What is this length in standard notation?
3
A 90
0.7 × 10−4 inch
C 9,000
A 0.000007 inch
B 93
B 0.00007 inch
9
2. Which factor in 5.32 × 10 shows a power
of 10?
A 5.32
C 0.0007 inch
9. What is this distance in scientific
notation?
C 109
B 9
0.0065 meter
A 6.5 × 10−4 meter
3. Which is the correct power to change
810,000 into scientific notation?
B 6.5 × 10−3 meter
810,000 = 8.1 × ____
A 10
5
B 10
6
C 10
C 65 × 10−3 meter
7
10. Simplify the expression (5 − 1)2 − (6 − 5)3.
A 15
4. Which describes the first factor of a
number written in scientific notation?
B 16
C 17
A less than 0
11. Which number is the greatest?
B greater than 10
A 2.3 × 10−3
C greater than or equal to 1 and less
than 10
B 1.5 × 10−4
C 8.6 × 10−2
5. Find the value of 23.
12. A square floor has 100 tiles. Each tile is
1 square foot. What is the length of one
side of this square floor?
A 6
B 8
C 23
A 10 feet
6. What is the scientific notation for a
population of 930,000 people?
B 20 feet
C 25 feet
A 9.3 × 105
13. A student divided 10 meters of wire into
6 equal parts. Which type of number
describes the length of each part?
B 9.3 × 106
C 93 × 106
7. In 9.3 × 10−8 the exponent is a negative
number. Which of these describes this
value of a number in scientific notation
that includes a negative exponent?
A whole number
B integer
C rational number
A negative
B very small
C very large
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
73
Name ________________________________________ Date __________________ Class __________________
MODULE
15
Exponents and Scientific Notation
Module Quiz: D
14. This number is written in scientific
notation. What is the exponent?
For 23–26, use the table.
Size (meters)
3.5 × 106
water molecule
3.2 × 10−10
small transistor
1.6 × 10−5
grain of salt
1.6 × 10−4
Use this fact to change 5.2 × 104 to
standard notation.
large ant
2.5 × 10−2
height of Mount Everest
8.9 × 103
5.2 × 104 = 5.2 × ____ =
diameter of sun
1.4 × 109
________________________________________
15. The value of 104 is 10,000.
________________________________________
23. Write the height of Mount Everest in
standard notation.
16. Complete the steps to change 4,700 to
scientific notation.
________________________________________
4,700 = 4.7 × 1,000 =
24. Write the size of the ant in standard
notation.
_________________ × _________________
17. Write your answer in scientific notation.
________________________________________
(3 × 103) − (1.4 × 102)
25. Write the largest number in standard
notation.
________________________________________
18. Write 8.5 × 106 in standard notation.
________________________________________
________________________________________
26. Which is larger, the transistor or the grain
of salt?
19. Use a negative exponent to complete this
equation.
0.005 = 5 × 10
________________________________________
?
27. Which number in this list is the greatest?
________________________________________
π, 4.666 ,
20. 0.00087 = 8.7 × 10−4
How many places does the decimal point
move to change 0.00087 into scientific
notation?
30 ,
18
5
________________________________________
28. Write your answer in scientific notation.
(5.3 × 107) − (1.1 × 106)
________________________________________
________________________________________
21. Write 0.0007 in scientific notation.
________________________________________
22. Write 1.4 × 10−2 in standard notation.
________________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
74
7. A True B False C False D True
17. 2.86 × 103
8. B
18. 8,500,000
9. 89
19. −3
20. 4
10. 1.1 × 10−4 m
11. −7
21. 7 × 10−4
12. 40 ft
22. 0.014
13. A True B True C True D True
23. 8,900 m
14. The first factor is not less than 10.
24. 0.025 m
15. 365,000
25. 1,400,000,000 m
26. grain of salt
16. 1010
17. 5.84 × 10
27.
4
18. 1.9 × 108
30
28. 5.19 × 107
19. 8.43 × 10−6 m
MODULE 16 Proportional
Relationships
20. 0.00007024 cm
21. Answers will vary. Sample answer:
0.00065, 6.5 × 10−4
Module Quiz 16: B
−5
22. 2.25 × 10 m
1. 75
23. 8
2. 15
24. 0.000016 m
3. y = 15x
25. 4
4. A Yes B No C Yes
26. 1.6 × 10−2 m
27.
75 , 4.3 ,
5. line k
20 π
,
13 4
6.
1
2
28. 5.23 × 107
7. 60 baskets per hour
Module Quiz 15: D
8. A No B Yes C Yes D No
1. C
2. C
3. A
4. C
5. B
6. A
7. B
8. C
9. B
10. A
11. C
12. A
13. C
14. 6
15. 10,000; 52,000
9.
Time (weeks)
10
15
25
Savings ($)
40
60
100
10. k = 4; y = 4x
11. $15 per h
12. Students’ graphs should show the
4
equation y = − x, passing through
3
(0, 0) and (3, −4).
13. unit rate for Object A is 2.5 m/s; unit rate
2
for Object B is
m/s.
3
14. Object C’s unit rate is 1.5 m/s. C is
moving faster than B, but slower than A.
15. 50 mi
16. 0.000181 m
16. 4.7 × 103
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
240