Math: Middle School: Grades 6, 7 and 8 Quiz - Numbers - Powers (Answers)
This Math quiz is called 'Numbers - Powers' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.
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Raising a number to a power is a POWERFUL operation, that's why I for Index comes before Division and Multiplication in the order of operations you know as BIDMAS. This quiz deals with the rules in Math for working with powers.
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24 (two to the power four) = 2 x 2 x 2 x 2
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The power of ten is the same as the number of zeroes. 100,000,000 has 8 noughts
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9 x 9 x 9 x 9
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16 = 24; 8 = 23. To multiply powers of the same number you add the indices
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83 = (2 x 2 x 2)3 = (23)3. To raise a power to a power, multiply the indices
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A negative power is 1 divided by the positive power
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3 x 3 x 2 x 2 = (3 x 2) x (3 x 2)
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You can't add the indices to multiply unless both numbers are powers of the same base
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To divide powers of the same base you subtract the indices; 5(4 - 2) = 52
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It's not always obvious which power number is the largest. The best way to check is to use a calculator!
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