X Powers of 10
10n * 10m =
10n+m
(10n)m =
10n*m
What is the exponent rule when dividing powers of 10?
10n /10m = 10n-m
What is the rule for negative exponents?
10n = 1/10n
How does multiplying by 1/10 (or -1 exponent) move a decimal point
one place to the left
expand 102 * 103 and rewrite it as a single power
(10*10)(10*10)(10*10)
write (103)2 in expanded form
(10*10*10)(10*10*10)
35*64*63
_________
3*67*34
What is the value of this expression
1
What is 103 in decimal form?
1000.
The 2 is 102 is known as
the exponent
Rewrite 1032 * 106 using one exponent
1038
write (104)2 in expanded form
(10*10*10*10)(10*10*10*10)
Rewrite 104 / 102 with a single exponent
102
What is 10-3 in decimal form
0.001
The 10 in 102 is known as
the base
Each year, roughly 106 computer programmers each make about $105. How much money is this all together? Express your answer both as a power of 10 and as a dollar amount.
100,000,000,000 and 1011
If you took the amount of oil consumed in 2 months in 2013 worldwide, you could make a cube of oil that measures 103 meters on each side. How many cubic meters of oil is this?
109 cubic meters
(103)3
Evaluate 100
1
Write 10-6*103 with one exponent
10-3
When a number is cubed it is multiplied by itself how many times?
3
The state of Georgia has roughly 107 human residents. Each human has roughly 1013 bacteria cells in his or her digestive tract. How many bacteria cells are there in the digestive tracts of all the humans in Georgia?
1020
Write 102*102*102 with a single exponent
106
Write this expression as a single power of 10
104*105*106
________________
103*107
105
Rewrite (10-2)-3 in expanded form
(10*10)(10*10)(10*10)
What is a variable?
a letter used to represent an unknown number