chapter 8 - exponents
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Chapter 8 - Exponents
Scientific Notation
Mental MathMultiplying: Move the decimal to the right
47 x 10
82 x 100
2 583 x 100
758 91 x1000
470
8200
258.3
758910
“Bigger”
Mental MathDividing: Move the decimal to the left
9250 ÷ 10
82 ÷ 100
2 583 ÷ 100
7589 1 ÷ 1000
925
.82
0.02583
7.5891
“Smaller”
Scientific Notation
must be
__
a
___ _
sing
____ ... 1
l
is
e
non
any inte
-zero digit
1,2,3,4,5,6,7,8,9
0
ger
. n
n
_____
Base of 10
8.5 Scientific NotationExamples: numbers into correct scientific notation.
38,700,000 3 87.7
706,000 7 06.5
4035 4 035.3
If it is a whole number, then the exponent is positive.
10
10
10
8.5 Scientific NotationExamples: numbers into correct scientific notation.
.0000000706 7 06. 8
.00000081 8 1. 7
.000009 9 6
If it is a decimal, then the exponent is negative.
10
10
10
8.5 Scientific Notation
2 61.4 310 10
1.4 3 2 610 10
Multiply
4.2 810
8.5 Scientific Notation
4 20.4 010 .6 10
0.4 0.6 4 210 10
Multiply
0.24 610
2 4. 10 5
8.5 Scientific Notation
4 31.4 7.610 10
1.4 7.6 4 310 10
Multiply
10.64 710
1 064. 106
3
11
1.2
4
10
1.8 0
1.2
4.8
3
11
10
10
0.25 3 1110
0.25 810
2.5 10 7
8.5 Scientific NotationExamples: computing with scientific notation
2 3 310 101.2 5 2. 104
Group number factors together and group powers of 10 together.
2 3 3101.2 10 105 2.4
14.4
1 44.
210310
Examples: computing with scientific notation
2
6
5
8
10
10
Group quotient numbers together and group powers of 10 together.
2
6
1
8 10
5 0
0.6256.25
10 4
10 3
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