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Exponents Lesson 2-8 Vocabulary exponent – the number of times a number is multiplied by itself. base – the number that is being multiplied. 3 base exponent 8 This is read “8 to the 3rd power” or “8 cubed.” It means 8 x 8 x 8. Evaluating Exponents 5 2 = 2 x 2 x 2 x 2 x 2 = 32 3 6 = 6 x 6 x 6 = 216 4 1.3 = 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. 2 • Example: 100 = 10 4 • 10,000 = 10 1,000,000 = 10 6 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) 3 2 1 7 x 10 + 9 x 10 + 4 x 10 + 6 Homework Time