exponents
DESCRIPTION
Exponents. Vocabulary. exponent – the number of times a number is multiplied by itself. base – the number that is being multiplied. exponent. 8 3. base. This is read “8 to the 3 rd power” or “8 cubed.” It means 8 x 8 x 8. Evaluating Exponents. 2 5. = 2 x 2 x 2 x 2 x 2. = 32. - PowerPoint PPT PresentationTRANSCRIPT
Exponents
Vocabulary
exponent – the number of times a number is multiplied by itself.
base – the number that is being multiplied.
83base
exponent
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
63 = 6 x 6 x 6 = 216
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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