Download Exponents and Scientific Notation

Name ________________________________________ Date __________________ Class __________________
MODULE
15
Exponents and Scientific Notation
Module Quiz: B
1. Write 2.6 × 104 in standard notation.
8. What is the scientific notation for a length
of 0.0000923 centimeter?
________________________________________
2. The population of a large U.S. city is
1,703,210. Write this population in
scientific notation.
________________________________________
4. When changing 67,430,000 to scientific
notation, how many places is the decimal
point moved?
11. A distance of 6.5 × 10−8 is multiplied by
10. The result is written in scientific
notation. What is the new exponent?
________________________________________
________________________________________
5. Let x be the first factor in an expression in
scientific notation. Describe the possible
values of x.
12. A square garden has an area of 1,600
square feet. How long is each side of the
garden?
________________________________________
________________________________________
6. Write the standard notation for a distance
of 9.302 × 1010 miles.
13. The following term could describe the
number of yards gained or lost in a
football game. Choose True or False for
each term.
________________________________________
7. A number between 0 and 1 is written in
scientific notation. The following term
describes the exponent. Choose True or
False for each term.
B whole number
True
False
C positive integer
True
False
D negative integer
True
False
D 923 × 10−5 cm
10. A dollar bill is about 0.00011 meter thick.
What is this thickness in scientific
notation?
________________________________________
False
B 9.23 × 10−5 cm
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3. Find the value of (−6)3.
True
C 92.3 × 10−5 cm
9. Simplify the expression (7 − 2)2 + (6 − 2)3.
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A integer
A 9.23 × 10−6 cm
A rational number
True
False
B whole number
True
False
C real number
True
False
D integer
True
False
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
71
Name ________________________________________ Date __________________ Class __________________
MODULE
15
Exponents and Scientific Notation
Module Quiz: B
14. Why is this number not in scientific
notation?
For 23–26, use the table.
36.5 × 106
Size (meters)
________________________________________
5
15. Write 3.65 × 10 in standard notation.
________________________________________
16. What power of ten makes this statement
true?
78,000,000,000 = 7.8 × ____
17. Write your answer in scientific notation.
(6.4 × 103) + (5.2 × 104)
water molecule
3.2 × 10−10
typical virus
7.5 × 10−8
small transistor
1.6 × 10−5
grain of salt
1.6 × 10−4
large ant
2.5 × 10−2
height of Mount Everest
8.9 × 103
diameter of moon
3.5 × 106
diameter of sun
1.4 × 109
23. How many zeros are needed to write the
diameter of the sun in standard notation?
________________________________________
________________________________________
18. Round this population figure to two
nonzero digits. Then write it in scientific
notation.
24. Write the diameter of the transistor in
standard notation.
186,453,000 people
________________________________________
________________________________________
25. How many digits are there in the standard
notation for the height of Mount Everest?
19. Change a length of 0.00000843 meter to
scientific notation.
________________________________________
________________________________________
26. An object is 100 times greater than the
grain of salt. Describe the size of this
object in scientific notation.
−5
20. Write a diameter of 7.024 × 10
centimeter in standard notation.
________________________________________
________________________________________
27. Arrange the numbers in order from
greatest to least.
21. Write a decimal between 0.0006 and
0.0007. Then write the number in
scientific notation.
4.3 ,
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π
4
,
75 ,
20
13
________________________________________
22. A small organism with a length of
7.5 × 10−6 meter tripled in size. Write
the new length in standard notation.
28. Write your answer in scientific notation.
(5.1 × 107) + (1.3 × 106)
________________________________________
________________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
72
Module Quiz 14: D
14. 12
1. B
15. $96
16.
1
or 0.1
10
2. B
17.
4
7
4. C
3. C
5. B
18. 100
6. A
7. A
MODULE 14 Real Numbers
8. A
9. B
Module Quiz 14: B
1. 2.5
10. B
2. A Yes B No
11. A
3. A No B Yes
12. C
4. −
13. repeating
3
2
14. 12.31
5. 35 yards
15. 0.583
6. 5.9
16. 1515
7. 1, −1, 17, or −17
17. 12, −12
8. A Yes B No C Yes D No
18. between 6 and 7
9. A True B False C True D True
19. 9
10. A
20. irrational number
11. A Yes B Yes C No D No
21. 10,
12. terminating; the denominator is a power
of 2
16 = 4, so it is not irrational.
22. area of circle, volume of sphere, surface
area of sphere
13. 2.0625
14. 0.36
23. area of triangle, perimeter of square,
volume of sphere, surface area of sphere
15. 6
16.
12, 14, 16, 18, 20;
3
3
,−
2
2
24. Distances and lengths are always
nonnegative numbers.
17. between 9.3 and 9.4
25. 10 or 11
18. 15.81
26. 3π
19. rational number, real number
20.
325;
MODULE 15 Exponents and
Scientific Notation
322, 323, 324 = 18,
320, 321,
324 is a rational number
Module Quiz 15: B
21. area of triangle, volume of sphere
22. volume of sphere, surface area of sphere
1. 26,000
23. negative numbers
2. 1.70321 × 106
24. 5
3. −216
25. 4π,
150, 11
4. 7
4
9
5. 1 ≤ x < 10
6. 93,020,000,000 mi
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239
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.
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