Multiplying by Powers of 10
8 x 1000 = 8 x ___ = ____
10^3
8000
How would you read this decimal?
7.12
seven and twelve hundredths
What is 10 x 10 x 10 x 10
104
When you multiply a number by a power of 10, you move the decimal to the _________
Right
When you divide a number by a power of 10, you move the decimal to the _________
Left
2 x ___ = 2 x 10^1 = ___
10
20
How would you read this decimal?
4.082
4 and eighty two thousandths
Is this a power of 10?
410
No
(Powers of 10 must have BASES of 10)
0.04 x ____= 0.4
0.004 x ____= 4
10^1
10^3
5.2 ÷ 10
0.52
0.002 x 100 = 0.02 x ___ = ____
10^2
2
How would you read this decimal?
35.87
Thirty five and eighty seven hundredths
What is 105
100,000
____ x 0.006 = 6
10^2
10^3
520 ÷ 10^2
5.2
0.03 x 1000 = ____
30
how would you read this decimal?
48.789
forty-eight and seven hundred eighty nine thousandths
The exponent is equal to the _____________ after the 1 in a power of 10
Number of zeros
0.007 x ___ = 7
0.07 x ___ = 7
10^3
10^2
52 ÷ 10^3
0.052
0.18 x 100 =
18
How would you say this decimal?
242.456
two hundred forty two and four hundred fifty six thousandths
10,000 is 10 to the power of ____
4
8 x 100 = 8 x 10^2 = ____
800
5200 ÷ 10^1
520