Math: Middle School: Grades 6, 7 and 8 Quiz - Exponents - Add and Subtract (Answers)
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An exponent is a small superscript number that tells you how many times a number is multiplied by itself. For example, if you have the number 4 and you want to multiply it by itself five times you could write it out as follows:
4 x 4 x 4 x 4 x 4 =
[readmore]This can become too long to always write out so we use a shortcut using a superscript number. In this case the superscript number would be “5” because we want to multiply 4 times itself five times. To show this using a superscript it will look like:
45
45 = 4 x 4 x 4 x 4 x 4
We then solve it as: 4 x 4 = 16 x 4 = 64 x 4 = 256 x 4 = 1024
45 = 1024
We can then add and/or subtract using exponents as follows:
32 + 73 =
3 x 3 = 9
7 x 7 = 49 x 7 = 343
9 + 343 = 352
32 + 73 = 352
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53 + 64 =
5 x 5 = 25 x 5 = 125 6 x 6 = 36 x 6 = 216 x 6 = 1296 125 + 1296 = 1421 53 + 64 = 1421 |
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122 + 75 =
12 x 12 = 144 7 x 7 = 49 x 7 = 343 x 7 = 2401 x 7 = 16807 144 + 16807 = 16951 122 + 75 = 16951 |
63 + 54 - 35 =
6 x 6 = 36 x 6 = 216 5 x 5 = 25 x 5 = 125 x 5 = 625 3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243 216 + 625 = 841 - 243= 598 63 + 54 - 35 = 598 Answer (b), therefore, shows the correct Order of Operation |
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82 + 23 - 14 =
8 x 8 = 64 2 x 2 = 4 x 2 = 8 64 + 8 = 72 - 14 = 58 82 + 23 - 14 = 58 |
102 + 123 - 92 =
10 x 10 = 100 12 x 12 = 144 x 12 = 1728 9 x 9 = 81 100 + 1728 = 1828 - 81 = 1747 102 + 123 - 92 = 1747 |
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73 + 34 + 16 =
7 x 7 = 49 x 7 = 343 3 x 3 = 9 x 3 = 27 x 3 = 81 343 + 81 + 16 = 440 73 + 34 + 16 = 440 |
282 - 132 =
28 x 28 = 784 13 x 13 = 169 784 - 169 = 615 282 - 132 = 615 |
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10 + 44 - 43 =
4 x 4 = 16 x 4 = 64 x 4 = 256 4 x 4 = 16 x 4 = 64 10 + 256 = 266 - 64 = 202 10 + 44 - 43 = 202 |
1002 - 502 + 17 =
100 x 100 = 10000 50 x 50 = 2500 10000 - 2500 = 7500 + 17 = 7517 1002 - 502 + 17 = 7517 |
2 x 2 = 4 x 2 = 8 x 2 = 16
9 x 9 = 81 x 9 = 729
16 + 729 = 745
24 + 93 = 745