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Math: Middle School: Grades 6, 7 and 8 Quiz - Exponents - Review of Simple Multiplying and Dividing (Questions)

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This quiz will continue our review of exponents and how they work. Besides being able to add and subtract numbers with exponents, we can also multiply and divide. The rules regarding addition and subtraction of numbers with exponents continue to apply here so let’s look at the following practice example and see how the problem is worked to find the solution.

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32 x 24 =
3 x 3 = 9
2 x 2 = 4 x 2 = 8 x 2 = 16
9 x 16 = 144
Solution: 32 x 24 = 144

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For each of the following exponent multiplication or division problems listed below, find the correct solution. (Note: Round numbers to the nearest one hundredth.)

1. 43 x 52 =
[ ] 2045
[ ] 1600
[ ] 120
[ ] 160
2. 64 x 23 =
[ ] 84
[ ] 50
[ ] 144
[ ] 10368
3. 72 x 35 =
[ ] 210
[ ] 72
[ ] 11907
[ ] 147
4. 93 ÷ 44 =
[ ] 2.85
[ ] 1.69
[ ] 1.5
[ ] 216
5. 253 ÷ 152 =
[ ] 694.4
[ ] 50
[ ] 69.44
[ ] 2250
6. 162 ÷ 25 =
[ ] 6.4
[ ] 2.57
[ ] 3.2
[ ] 8
7. 103 x 202 ÷ 500 =
[ ] 800
[ ] 2.4
[ ] 2
[ ] .57
8. 442 x 112 =
[ ] 1936
[ ] 234256
[ ] 598
[ ] 968
9. 34 x 36 ÷ 6 =
[ ] 42.67
[ ] 10.5
[ ] 36
[ ] 9841.5
10. 172 - 83 ÷ 30 =
[ ] 1.5
[ ] 1.93
[ ] -7.43
[ ] .33
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Math: Middle School: Grades 6, 7 and 8 Quiz - Exponents - Review of Simple Multiplying and Dividing (Answers)
1. 43 x 52 =
[ ] 2045
[x] 1600
[ ] 120
[ ] 160
43 x 52 =
4 x 4 = 16 x 4 = 64
5 x 5 = 25
64 x 25 = 1600
Solution: 43 x 52 = 1600
Answer (b) is correct
2. 64 x 23 =
[ ] 84
[ ] 50
[ ] 144
[x] 10368
64 x 23 =
6 x 6 = 36 x 6 = 216 x 6 = 1296
2 x 2 = 4 x 2 = 8
1296 x 8 = 10368
Solution: 64 x 23 = 10368
Answer (d) is correct
3. 72 x 35 =
[ ] 210
[ ] 72
[x] 11907
[ ] 147
72 x 35 =
7 x 7 = 49
3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243
49 x 243 = 11907
Solution: 72 x 35 = 11907
Answer (c) is correct
4. 93 ÷ 44 =
[x] 2.85
[ ] 1.69
[ ] 1.5
[ ] 216
93 ÷ 44 =
93 ÷ 44 =
9 x 9 = 81 x 9 = 729
4 x 4 = 16 x 4 = 64 x 4 = 256
729 ÷ 256 = 2.85
Solution: 93 ÷ 44 = 2.85
Answer (a) is correct
5. 253 ÷ 152 =
[ ] 694.4
[ ] 50
[x] 69.44
[ ] 2250
253 ÷ 152 =
25 x 25 = 625 x 25 = 15625
15 x 15 = 225
15625 ÷ 225 = 69.44
Solution: 253 ÷ 152 = 69.44
Answer (c) is correct
6. 162 ÷ 25 =
[ ] 6.4
[ ] 2.57
[ ] 3.2
[x] 8
162 ÷ 25 =
16 x 16 = 256
2 x 2 = 4 x 2 = 8 x 2 = 16 x 2 = 32
256 ÷ 32 = 8
Solution: 162 ÷ 25 = 8
Answer (d) is correct
7. 103 x 202 ÷ 500 =
[x] 800
[ ] 2.4
[ ] 2
[ ] .57
103 x 202 ÷ 500 =
10 x 10 = 100 x 10 = 1000
20 x 20 = 400
1000 x 400 = 400000 ÷ 500 = 800
Solution: 103 x 202 ÷ 500 = 800
Answer (a) is correct
8. 442 x 112 =
[ ] 1936
[x] 234256
[ ] 598
[ ] 968
442 x 112 =
44 x 44 = 1936
11 x 11 = 121
1936 x 121 = 234256
Solution: 442 x 112 = 234256
Answer (b) is correct
9. 34 x 36 ÷ 6 =
[ ] 42.67
[ ] 10.5
[ ] 36
[x] 9841.5
34 x 36 ÷ 6 =
3 x 3 = 9 x 3 = 27 x 3 = 81
3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243 x 3 = 729
81 x 729 = 59049 ÷ 6 = 9841.5
Solution: 34 x 36 ÷ 6 = 9841.5
Answer (d) is correct
10. 172 - 83 ÷ 30 =
[ ] 1.5
[ ] 1.93
[x] -7.43
[ ] .33
172 - 83 ÷ 30 =
17 x 17 = 289
8 x 8 = 64 x 8 = 512
289 - 512 = -223 ÷ 30 = -7.43
Solution: 172 - 83 ÷ 30 = -7.43
Answer (c) is correct