Exponents Lesson 2-8

Vocabulary exponent – the number of times a number is multiplied by itself. base – the number that is being multiplied. exponent 83 base This is read “8 to the 3rd power” or “8 cubed.” It means 8 x 8 x 8.

Evaluating Exponents 25 = 2 x 2 x 2 x 2 x 2 = 32 = 6 x 6 x 6 = 216 63 1.34 = 1.3 x 1.3 x 1.3 x 1.3 = 2.8561

Exponents with a base of 10 Any multiple of ten can be expressed as an exponent with a base of ten. The base is 10. The number of zeroes gives us the exponent. Example: 100 = 102 10,000 = 104 1,000,000 = 106

Writing in Expanded Form Using Powers of 10 First, write the problem in expanded form. Then, change each term to a multiplication of the value and its place. Change the place values to exponents with powers of 10.

Example 7, 946 7, 000 + 900 + 40 + 6 (7 x 1,000) + (9 x 100) + (4 x 10) + (6 x 1) 7 x 103 + 9 x 102 + 4 x 101 + 6

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