Place Value and Exponents
1-3
10
(^2) exponent
base
102 10 10
Read 10^2 as “ten to the second power”
or “ten squared.”
103 10 10 10
Read 10^3 as “ten to the third power”
or “ten cubed.”
In positive powers of ten, the
exponent indicates the number
of zeros in the product.
In negative powers of ten, the exponent
indicates the number of decimal places.
Read 10^1 as “ten to the negative first power.”
thousandshundredstensonestenthshundredthsthousandths
8 0 40 6 7
10310210110010 –1 10 –2 10 –3
Another way to write 100 is 10 10, or 10^2.
An exponent tells how many times to use
the base as a factor.
Positive powers of 10 are used to show whole number place value.
105 10 10 10 10 10 100 , 000
104 10 10 10 10 10 , 000
103 10 10 10 1, 000
102 10 10 100
101 10 1 10 Any number raised to the first power equals that number.
100 1 Any nonzero number raised to the zero power is equal to 1.
Negative powers of 10 are used
to show decimal place value.
10 ^1 0.1
10 ^2 0.01
10 ^3 0.001
You can write numbers in standard form
in expanded form using exponents.
Standard Form Expanded Form
804.067 (8 102 ) (4 100 )(6 10 ^2 )(7 10 ^3 )
or
(8 100)(4 1)(6 0.01)(7 0.001)
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