Powers of 10 Expressions with repeated factors, such as 10 X 10 X 10 can be written by using a base with an exponent. The base is the number that is used as the repeated factor. The exponent is the number that tells how many times the base is used as a factor.

Powers of Ten 10 X 10 X10 = 1000 The third power of ten Exponent form: _______ 10 X 10 X 10 X 10 = 10,000 The fourth power of ten Exponent form: ________

Powers of Ten

What is 10 X 1000 written as an exponent. How many ones are in 1? ____ How many ones are in 10? _____ How many ones are in 100? ____ Think: 10 groups of 10 or 10 X 10

Powers of Ten How many hundreds are in 1000? _____ Think 10 groups of 100 or 10 X (10 X 10) How many thousands are in 10,000? ____

Powers of Ten 10,000 ones 1 X 10 X 10 X10 X 10 so: 10 X 1000 is _______ ( as an exponent)

Powers of Ten Multiply a whole number by a power of ten. Humming birds beat their wings very fast. The smaller the hummingbird the faster its wings beat. The average hummingbird beats its wings about 3 X 10 to the third power _____ Times a mine. How many times a minute is that, written as a whole number?

Powers of Ten Multiply 3 by powers of ten, look for a pattern 3 X 10 to the zero = 3 X 1 = ____ Continue ….

Powers of Ten So, the average hummingbird beats its wings about _________ times a minute. Explain how using an exponent simplifies an expressio.

Powers of Ten What pattern did you see in the hummingbird problem?

Powers of Ten Write in exponent form and word form. 10 X 10 Exponent form _________________ Word Form ___________________________ __________________________

Powers of Ten 10 X 10 X 10 X 10 Exponent form ___________ Word form ____________________________ _________________________________

Powers of Ten Find the value. 10 to the second power ____ = __________ 4 X 10 to 2 nd. ___________ = ___________ 7 X 10 to 3 rd ___________ = ____________

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