HW1B (Mult/Div/Expon part 2) Date:__________, Name___________________________________
You need Scantron 882E. BPlease use a pencil to bubble the answers. Make sure your Scantron is clean , flat, and not folded
when you submit. Please do not use any calculator in doing your homework.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Multiply using the multiplication properties.
1) Multiply 0 · 356
A) 356
B) 0
2) Multiply 29 · 1
A) 0
1)
C) 1
D) 3560
C) 29
D) 30
2)
B) 1
Multiply.
3)
3)
18
× 51
A) 908
B) 1018
C) 918
D) 928
4)
4)
340
× 70
A) 23,900
B) 23,810
C) 23,790
D) 23,800
5)
5)
301
× 57
A) 17,167
B) 17,147
C) 17,157
D) 17,257
6)
6)
1607
× 30
A) 48,200
B) 48,210
C) 48,310
D) 48,220
7)
7)
8763
× 39
A) 341,767
B) 341,857
C) 341,747
D) 341,757
8) 203 · 307
A) 62,311
B) 62,422
C) 62,321
D) 62,020
9) 79(199)
A) 15,711
B) 15,821
C) 15,731
D) 15,721
8)
9)
1
10) (93)(106)
A) 9958
10)
B) 9868
Solve the problem.
11) How many months are there in 20 years?
A) 42 months
B) 240 months
C) 9848
D) 9858
C) 250 months
D) 32 months
11)
12) Wing Ah can bike 73 miles a day. If she can vacation for 16 days, what is the maximum distance
she can cover?
A) 89 miles
B) 1168 miles
C) 1178 miles
D) 178 miles
12)
13) Last night 35 fishing boats each hauled in 87 tons of fish. What was the total catch for the night?
A) 3045 tons
B) 3049 tons
C) 126 tons
D) 122 tons
13)
14) A machine can produce 32 computer chips per day. How many computer chips can be produced in
28 days?
A) 60 chips
B) 902 chips
C) 66 chips
D) 896 chips
14)
15) Carlos averages 33 miles per gallon of gasoline in his car. How far can he travel on 16 gallons of
gasoline?
A) 535 miles
B) 56 miles
C) 49 miles
D) 528 miles
15)
16) Fran has to make 9 sales per day at the department store where she works. How many sales would
she be expected to make if she worked 33 days?
A) 297 sales
B) 51 sales
C) 42 sales
D) 306 sales
16)
17) A local pharmacy has 8 bottles of certain antibiotic, with each bottle containing 70 pills. Find the
total number of antibiotic pills.
A) 78 pills
B) 560 pills
C) 70 pills
D) 570 pills
17)
18) In a distant solar system the diameter of planet A is 8 times as great as the diameter of planet B.
The diameter of planet B is 737 miles. Find the diameter of planet A.
A) 5886 miles
B) 5888 miles
C) 5896 miles
D) 5796 miles
18)
2
The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.
19) How many students are majoring in English?
A) 450
B) 350
19)
C) 400
D) 500
20) About how many students are in the College of Arts and Sciences?
A) 1325
B) 1100
C) 1050
D) 1225
20)
21) Which major has the largest number of students?
A) English
B) History
C) Science
D) Math
22) Which major has about 150 students?
A) History
B) Science
C) Math
D) English
21)
22)
23) How many more students are majoring in math than in science?
A) 150
B) 100
C) 50
23)
D) 10
24) The science department spends about $400 on equipment for each student majoring in science.
How much should the science department budget for equipment?
A) $6000
B) $40,000
C) $60,000
D) $80,000
Divide using the division properties.
25) 51 ÷ 1
A) 0
B) undefined
25)
C) 51
D) 1
26) 41 ÷ 41
A) 0
B) 41
C) 1
D) undefined
27) 0 ÷ 73
A) 1
B) 73
C) 0
D) undefined
28) 26 ÷ 0
A) 26
B) undefined
C) 0
D) 1
29)
26)
27)
28)
15
0
A) 1
24)
29)
B) 15
C) undefined
3
D) 0
30)
0
11
A) undefined
30)
B) 11
C) 1
D) 0
31) 19 0
A) 19
B) 1
C) 0
D) undefined
32) 0 41
A) 0
B) 41
C) 1
D) undefined
33) 2 18
A) 9
B) 8 R 1
C) 8 R 2
D) 10
34) 9 36
A) 5
B) 3 R 9
C) 4
D) 3 R 8
35) 2812 ÷ 19
A) 148
B) 149 R 9
C) 149
D) 148 R 10
31)
32)
Divide.
33)
34)
35)
36) 2744 ÷ 8
A) 343
36)
B) 343 R1
C) 345
D) 345 R7
37) 52 10,920
A) 215 R 25
B) 200
C) 220 R 33
D) 210
38) 1,710,000 ÷ 10
A) 1710
B) 17,100
C) 171,000
D) 17,100,000
37)
38)
39) 3650 ÷ 50
A) 74 R 40
39)
B) 74
C) 73
D) 73 R 41
40) 22 19,360
A) 890 R 18
B) 880
C) 885 R 10
D) 870
41) 3 256
A) 85
B) 85 R 2
C) 85 R 1
D) 86
42) 5 1837
A) 367 R 2
B) 366 R 7
C) 367 R 1
D) 367
40)
41)
42)
43) 543 ÷ 31
A) 17 R 16
43)
B) 16 R 22
C) 15 R 7
D) 17
44) 48 8988
A) 187
B) 190 R 40
C) 187 R 12
D) 190 R 5
44)
4
45) 3564 ÷ 116
A) 25 R 84
46)
C) 33 R 16
D) 30 R 84
558
53
A) 9 R 44
47)
45)
B) 30
46)
B) 10 R 28
C) 8 R 7
D) 10
9381
42
A) 223 R 15
47)
B) 223
C) 226 R 34
D) 226 R 5
Solve the problem.
48) A group of 3 people wants to buy a boat. The boat costs $675. If they all pay the same amount,
how much is each personʹs share?
A) $168
B) $215
C) $235
D) $225
48)
49) The city bridge has 8 lanes, all carrying equal numbers of cars. If 416 cars drive across the bridge,
how many cars cross in each lane?
A) 424 cars
B) 52 cars
C) 60 cars
D) 53 cars
49)
50) Richardʹs team wants to plant 76 trees in 2 months. How many trees per month do they need to
plant?
A) 76 trees
B) 38 trees
C) 40 trees
D) 48 trees
50)
51) Alicia sold $6496 in paintings at the art fair. If she sold 7 paintings total, and they all sold for the
same amount, what was the price of one painting?
A) $911
B) $828
C) $928
D) $965
51)
52) Just Hardware has a profit of $262,200. This profit is to be divided evenly between 38 employee
owners. Find the profit received by each owner.
A) $9,963,600
B) $19,245
C) $6900
D) $11,899
52)
53) Mr. and Mrs. Gutierrez borrow $9250 to buy a new car. The loan is to be paid off in 37 equal
monthly payments. How much is each payment?
A) $250
B) $9287
C) $9213
D) $25
53)
54) 353 chocolates are to be packed into boxes each of which will contain 11 chocolates. How many
boxes of chocolates will there be? How many chocolates will be left over?
A) 31 boxes; 1 chocolates left over
B) 32 boxes; no chocolates left over
C) 32 boxes; 1 chocolates left over
D) 31 boxes; 2 chocolates left over
54)
Write the expression in exponential notation.
55) 4 · 4
A) 4 3
B) 2 · 4
56) 8 · 8 · 8 · 8
A) 4 8
55)
C) 2 4
D) 4 2
56)
B) 8 4
C) 8 2
5
D) 32
57) 7 · 7 · 7 · 7 · 7
A) 7 5
57)
B) 5 7
C) 7 0
D) 5 · 7
B) 151
C) 4 15
D) 154
B) 125
C) 5 · 12
D) 5 15
B) nine cubed
C) two times nine
D) nine plus nine
B) five plus three
C) five squared
D) five cubed
58) 15 · 15 · 15 · 15
A) 4 · 15
59) 12 · 12 · 12 · 12 · 12
A) 5 · 5 15
Write the expression in word form.
60) 9 · 9
A) nine squared
61) 5 · 5 · 5
A) three times five
58)
59)
60)
61)
62) 2 · 2 · 2 · 2
A) two squared
C) two to the fourth power
B) four plus two
D) four times two
62)
63) 5 · 5 · 5 · 5 · 5 · 5 · 5 · 5
A) eight times five
C) five plus eight
B) five to the eighth power
D) eight to the fifth power
63)
Write the expression in exponential notation.
64) 3 · 3 · 7 · 7
A) 3 · 7
B) 3 4 · 7 4
64)
C) 2(3) · 2(7)
D) 3 2 · 7 2
65) 2 · 2 · 2 · 3
65)
B) 3(2) · 3
C) 2 · 3 3
D) 2 3 · 3
B) 3 · 3(5)
C) 3 · 5 3
D) 3 3 · 5
B) 3 · 7
C) 3 2 · 7 3
D) 3 5 · 7 5
A) 81
B) 512
C) 18
D) 100
A) 64
B) 125
C) 243
D) 15
A) 2 · 3
66) 3 · 5 · 5 · 5
A) 3 · 5
66)
67) 3 · 3 · 7 · 7 · 7
A) 2(3) · 3(7)
67)
Evaluate the exponential expression.
68) 9 2
68)
69) 5 3
69)
70) 8 4
70)
A) 65,536
B) 4096
C) 512
6
D) 32
71) 6 5
71)
A) 30
B) 46,656
C) 15,625
D) 7776
72) 272 0
A) 0
B) 272
C) 1
D) undefined
73) 991
A) 99
B) undefined
C) 1
D) 0
B) 236
C) 228
D) 60
Simplify the expression.
74) 240 ÷ 8 - 4
A) 26
72)
73)
74)
75) 9 2 + 72
A) 32
B) 130
C) 256
D) 64
76) 23 + 15 · 25
A) 950
B) 398
C) 63
D) 370
77) 5 · 3 - 7
A) 20
B) 22
C) 105
D) 8
75)
76)
77)
78) 87 - 3 · 2 · 6
A) 486
B) 1008
C) 51
D) 76
79) 8 2 - 4 · 2
A) 32
B) 120
C) 64
D) 56
80) 6 2 + 6 2 ÷ 2 2
A) 36
B) 45
C) 18
D) 76
81) 9 2 - 5 · 3
A) 108
B) 228
C) 48
D) 66
82) 4 2 + 8 2 ÷ 2 2
A) 32
B) 84
C) 36
D) 20
83)
79)
80)
81)
82)
10 + 2
5 - 2
A) 10
84)
78)
83)
B) 4
C) 6
D) 3
11 - 4
2 + 5
84)
A) 5
B) 1
C) 7
D) 11
85) (3 + 1)(3 - 1)
A) 9
B) 5
C) 8
D) 10
85)
7
86)
7 2 + 1 2
2
86)
A) 25
B) 24
C) 3
D) 50
87) 128 ÷ (16 ÷ 4)
A) 124
B) 8
C) 2
D) 32
87)
88) (15 - 14)2 + (1 + 4)2
A) 46
B) 36
C) 26
D) 18
89) 3 · 3 + 5(8 - 2) + 3
A) 50
B) 54
C) 147
D) 42
90) 8 × 8 + 27 ÷ [8 - (3 + 2)]
A) 73
B) 75
C) 74
D) 72
88)
89)
90)
Solve the problem.
91) Find the area of a square garden 10 feet on a side.
A) 40 square feet
C) 10,000 square feet
91)
B) 20 square feet
D) 100 square feet
92) A window washing company quotes your business a price of $1.5 per square foot to wash all your
windows. If you have 10 square windows all measuring 7 feet on a side, how much will this
service cost?
A) $514.5
B) $157.5
C) $735
D) $21
List all the natural number factors of the number.
93) 27
A) 1, 3, 9, 27
B) 3, 9, 27
92)
93)
C) 1, 3, 9
D) 3, 13, 27
94)
94) 42
B) 7, 6, 14, 42
D) 1, 7, 6, 42
A) 1, 2, 3, 6, 7, 14, 28, 42
C) 1, 2, 3, 6, 7, 14, 21, 42
Find the prime factorization of the number.
95) 10
A) 2 · 4
B) 2 · 7
95)
C) 2 · 5
D) 2 · 6
96) 26
96)
A) 2 · 2 · 5
B) 2 · 2 · 2
C) 2 · 14
D) 2 · 13
A) 3 · 3 · 7
B) 9 · 7
C) 9 · 3
D) 7 · 7
A) 2 · 2 · 5
B) 2 · 3 · 5
C) 3 · 3 · 2
D) 6 · 5
99) 126
A) 2 · 2 · 3 · 3 · 7
B) 14 · 3 · 3
C) 2 · 3 · 7
D) 2 · 3 · 3 · 7
97) 63
97)
98) 30
98)
99)
8