Negative Powers of ten · Powers of ten Small answers Powers Negative powers Scienti c Notation The...
Transcript of Negative Powers of ten · Powers of ten Small answers Powers Negative powers Scienti c Notation The...
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers of ten
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2
= 12 = 0.5
(b) 1÷ 4
= 14 = 0.25
(c) 1÷ 8
= 18 = 0.125
(d) 1÷ 16
= 116 = 0.0625
(e) 2÷ 8
= 28 =14 = 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2
= 12 = 0.5
(b) 1÷ 4
= 14 = 0.25
(c) 1÷ 8
= 18 = 0.125
(d) 1÷ 16
= 116 = 0.0625
(e) 2÷ 8
= 28 =14 = 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2
= 12 = 0.5
(b) 1÷ 4
= 14 = 0.25
(c) 1÷ 8
= 18 = 0.125
(d) 1÷ 16
= 116 = 0.0625
(e) 2÷ 8
= 28 =14 = 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12
= 0.5
(b) 1÷ 4
= 14 = 0.25
(c) 1÷ 8
= 18 = 0.125
(d) 1÷ 16
= 116 = 0.0625
(e) 2÷ 8
= 28 =14 = 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4
= 14 = 0.25
(c) 1÷ 8
= 18 = 0.125
(d) 1÷ 16
= 116 = 0.0625
(e) 2÷ 8
= 28 =14 = 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4 = 14
= 0.25
(c) 1÷ 8
= 18 = 0.125
(d) 1÷ 16
= 116 = 0.0625
(e) 2÷ 8
= 28 =14 = 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4 = 14 = 0.25(c) 1÷ 8
= 18 = 0.125
(d) 1÷ 16
= 116 = 0.0625
(e) 2÷ 8
= 28 =14 = 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4 = 14 = 0.25(c) 1÷ 8 = 18
= 0.125
(d) 1÷ 16
= 116 = 0.0625
(e) 2÷ 8
= 28 =14 = 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4 = 14 = 0.25(c) 1÷ 8 = 18 = 0.125(d) 1÷ 16
= 116 = 0.0625
(e) 2÷ 8
= 28 =14 = 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4 = 14 = 0.25(c) 1÷ 8 = 18 = 0.125(d) 1÷ 16 = 116
= 0.0625
(e) 2÷ 8
= 28 =14 = 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4 = 14 = 0.25(c) 1÷ 8 = 18 = 0.125(d) 1÷ 16 = 116 = 0.0625(e) 2÷ 8
= 28 =14 = 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4 = 14 = 0.25(c) 1÷ 8 = 18 = 0.125(d) 1÷ 16 = 116 = 0.0625(e) 2÷ 8 = 28
= 14 = 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4 = 14 = 0.25(c) 1÷ 8 = 18 = 0.125(d) 1÷ 16 = 116 = 0.0625(e) 2÷ 8 = 28 =
14
= 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4 = 14 = 0.25(c) 1÷ 8 = 18 = 0.125(d) 1÷ 16 = 116 = 0.0625(e) 2÷ 8 = 28 =
14 = 0.25
(f) 8÷ 40
= 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4 = 14 = 0.25(c) 1÷ 8 = 18 = 0.125(d) 1÷ 16 = 116 = 0.0625(e) 2÷ 8 = 28 =
14 = 0.25
(f) 8÷ 40 = 840
= 25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4 = 14 = 0.25(c) 1÷ 8 = 18 = 0.125(d) 1÷ 16 = 116 = 0.0625(e) 2÷ 8 = 28 =
14 = 0.25
(f) 8÷ 40 = 840 =25
= 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4 = 14 = 0.25(c) 1÷ 8 = 18 = 0.125(d) 1÷ 16 = 116 = 0.0625(e) 2÷ 8 = 28 =
14 = 0.25
(f) 8÷ 40 = 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Small answers
Write the following as a fraction and a decimal:
(a) 1÷ 2 = 12 = 0.5(b) 1÷ 4 = 14 = 0.25(c) 1÷ 8 = 18 = 0.125(d) 1÷ 16 = 116 = 0.0625(e) 2÷ 8 = 28 =
14 = 0.25
(f) 8÷ 40 = 840 =25 = 0.4
Dividing a small number by a larger numberalways gives an answer less than one
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 22
= 4
(b) 23
= 8
(c) 24
= 16
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 22
= 4
(b) 23
= 8
(c) 24
= 16
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 22
= 4
(b) 23
= 8
(c) 24
= 16
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 22 = 4
(b) 23
= 8
(c) 24
= 16
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 22 = 4
(b) 23 = 8
(c) 24
= 16
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 22 = 4
(b) 23 = 8
(c) 24 = 16
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 1÷ 22
= 122
= 14 = 0.25
(b) 1÷ 23
= 123
= 18 = 0.125
(c) 1÷ 24
= 124
= 116 = 0.0625
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 1÷ 22
= 122
= 14 = 0.25
(b) 1÷ 23
= 123
= 18 = 0.125
(c) 1÷ 24
= 124
= 116 = 0.0625
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 1÷ 22
= 122
= 14 = 0.25
(b) 1÷ 23
= 123
= 18 = 0.125
(c) 1÷ 24
= 124
= 116 = 0.0625
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 1÷ 22 = 122
= 14 = 0.25
(b) 1÷ 23
= 123
= 18 = 0.125
(c) 1÷ 24
= 124
= 116 = 0.0625
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 1÷ 22 = 122
= 14
= 0.25
(b) 1÷ 23
= 123
= 18 = 0.125
(c) 1÷ 24
= 124
= 116 = 0.0625
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 1÷ 22 = 122
= 14 = 0.25
(b) 1÷ 23
= 123
= 18 = 0.125
(c) 1÷ 24
= 124
= 116 = 0.0625
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 1÷ 22 = 122
= 14 = 0.25
(b) 1÷ 23 = 123
= 18 = 0.125
(c) 1÷ 24
= 124
= 116 = 0.0625
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 1÷ 22 = 122
= 14 = 0.25
(b) 1÷ 23 = 123
= 18
= 0.125
(c) 1÷ 24
= 124
= 116 = 0.0625
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 1÷ 22 = 122
= 14 = 0.25
(b) 1÷ 23 = 123
= 18 = 0.125
(c) 1÷ 24
= 124
= 116 = 0.0625
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 1÷ 22 = 122
= 14 = 0.25
(b) 1÷ 23 = 123
= 18 = 0.125
(c) 1÷ 24 = 124
= 116 = 0.0625
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 1÷ 22 = 122
= 14 = 0.25
(b) 1÷ 23 = 123
= 18 = 0.125
(c) 1÷ 24 = 124
= 116
= 0.0625
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Powers
Find the following:
(a) 1÷ 22 = 122
= 14 = 0.25
(b) 1÷ 23 = 123
= 18 = 0.125
(c) 1÷ 24 = 124
= 116 = 0.0625
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is
2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3
= 123
= 18 = 0.125
(b) 2−4
= 124
= 116 = 0.0625
(c) 10−2
= 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is
2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3
= 123
= 18 = 0.125
(b) 2−4
= 124
= 116 = 0.0625
(c) 10−2
= 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3
= 123
= 18 = 0.125
(b) 2−4
= 124
= 116 = 0.0625
(c) 10−2
= 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3
= 123
= 18 = 0.125
(b) 2−4
= 124
= 116 = 0.0625
(c) 10−2
= 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18 = 0.125
(b) 2−4
= 124
= 116 = 0.0625
(c) 10−2
= 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18 = 0.125
(b) 2−4
= 124
= 116 = 0.0625
(c) 10−2
= 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18
= 0.125
(b) 2−4
= 124
= 116 = 0.0625
(c) 10−2
= 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18 = 0.125
(b) 2−4
= 124
= 116 = 0.0625
(c) 10−2
= 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18 = 0.125
(b) 2−4 = 124
= 116 = 0.0625
(c) 10−2
= 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18 = 0.125
(b) 2−4 = 124
= 116
= 0.0625
(c) 10−2
= 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18 = 0.125
(b) 2−4 = 124
= 116 = 0.0625
(c) 10−2
= 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18 = 0.125
(b) 2−4 = 124
= 116 = 0.0625
(c) 10−2
= 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18 = 0.125
(b) 2−4 = 124
= 116 = 0.0625
(c) 10−2 = 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18 = 0.125
(b) 2−4 = 124
= 116 = 0.0625
(c) 10−2 = 1102
= 1100
= 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18 = 0.125
(b) 2−4 = 124
= 116 = 0.0625
(c) 10−2 = 1102
= 1100 = 0.01
(d) 10−3
= 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18 = 0.125
(b) 2−4 = 124
= 116 = 0.0625
(c) 10−2 = 1102
= 1100 = 0.01
(d) 10−3 = 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18 = 0.125
(b) 2−4 = 124
= 116 = 0.0625
(c) 10−2 = 1102
= 1100 = 0.01
(d) 10−3 = 1103
= 11000
= 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Negative Powers
A shorthand way of writing 122
is 2−2
Rewrite the following as fractions, then as a decimal
(a) 2−3 = 123
= 18 = 0.125
(b) 2−4 = 124
= 116 = 0.0625
(c) 10−2 = 1102
= 1100 = 0.01
(d) 10−3 = 1103
= 11000 = 0.001
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Scientific Notation
This lets us use scientic notation to write very small numbers:
e.g. 0.002
= 2× 0.001 = 2× 11000 = 2×1
103= 2× 10−3
e.g.0.00032
= 3.2× 0.0001 = 3.2× 110000 = 3.2×1
104= 3.2× 10−4
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Scientific Notation
This lets us use scientic notation to write very small numbers:
e.g. 0.002
= 2× 0.001 = 2× 11000 = 2×1
103= 2× 10−3
e.g.0.00032
= 3.2× 0.0001 = 3.2× 110000 = 3.2×1
104= 3.2× 10−4
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Scientific Notation
This lets us use scientic notation to write very small numbers:
e.g. 0.002
= 2× 0.001 = 2× 11000 = 2×1
103= 2× 10−3
e.g.0.00032
= 3.2× 0.0001 = 3.2× 110000 = 3.2×1
104= 3.2× 10−4
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Scientific Notation
This lets us use scientic notation to write very small numbers:
e.g. 0.002 = 2× 0.001
= 2× 11000 = 2×1
103= 2× 10−3
e.g.0.00032
= 3.2× 0.0001 = 3.2× 110000 = 3.2×1
104= 3.2× 10−4
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Scientific Notation
This lets us use scientic notation to write very small numbers:
e.g. 0.002 = 2× 0.001 = 2× 11000
= 2× 1103
= 2× 10−3
e.g.0.00032
= 3.2× 0.0001 = 3.2× 110000 = 3.2×1
104= 3.2× 10−4
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Scientific Notation
This lets us use scientic notation to write very small numbers:
e.g. 0.002 = 2× 0.001 = 2× 11000 = 2×1
103
= 2× 10−3
e.g.0.00032
= 3.2× 0.0001 = 3.2× 110000 = 3.2×1
104= 3.2× 10−4
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Scientific Notation
This lets us use scientic notation to write very small numbers:
e.g. 0.002 = 2× 0.001 = 2× 11000 = 2×1
103= 2× 10−3
e.g.0.00032
= 3.2× 0.0001 = 3.2× 110000 = 3.2×1
104= 3.2× 10−4
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Scientific Notation
This lets us use scientic notation to write very small numbers:
e.g. 0.002 = 2× 0.001 = 2× 11000 = 2×1
103= 2× 10−3
e.g.0.00032
= 3.2× 0.0001 = 3.2× 110000 = 3.2×1
104= 3.2× 10−4
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Scientific Notation
This lets us use scientic notation to write very small numbers:
e.g. 0.002 = 2× 0.001 = 2× 11000 = 2×1
103= 2× 10−3
e.g.0.00032 = 3.2× 0.0001
= 3.2× 110000 = 3.2×1
104= 3.2× 10−4
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Scientific Notation
This lets us use scientic notation to write very small numbers:
e.g. 0.002 = 2× 0.001 = 2× 11000 = 2×1
103= 2× 10−3
e.g.0.00032 = 3.2× 0.0001 = 3.2× 110000
= 3.2× 1104
= 3.2× 10−4
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Scientific Notation
This lets us use scientic notation to write very small numbers:
e.g. 0.002 = 2× 0.001 = 2× 11000 = 2×1
103= 2× 10−3
e.g.0.00032 = 3.2× 0.0001 = 3.2× 110000 = 3.2×
1104
= 3.2× 10−4
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Scientific Notation
This lets us use scientic notation to write very small numbers:
e.g. 0.002 = 2× 0.001 = 2× 11000 = 2×1
103= 2× 10−3
e.g.0.00032 = 3.2× 0.0001 = 3.2× 110000 = 3.2×
1104
= 3.2× 10−4
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
The quick way
To write a decimal number in scientific notation:
Move the decimal point after the first significant figure
Count how many places the decimal point has moved
Write this as a negative power of ten
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
The quick way
To write a decimal number in scientific notation:
Move the decimal point after the first significant figure
Count how many places the decimal point has moved
Write this as a negative power of ten
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
The quick way
To write a decimal number in scientific notation:
Move the decimal point after the first significant figure
Count how many places the decimal point has moved
Write this as a negative power of ten
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
The quick way
To write a decimal number in scientific notation:
Move the decimal point after the first significant figure
Count how many places the decimal point has moved
Write this as a negative power of ten
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
The quick way
To write a decimal number in scientific notation:
Move the decimal point after the first significant figure
Count how many places the decimal point has moved
Write this as a negative power of ten
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Examples- Page 43, Exercise 4, Question 1
Write in scientific notation
(a) 0.008
= 8× 10−3
(b) 0.000067
= 6.7× 10−5
(c) 0.0931
= 9.31× 10−2
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Examples- Page 43, Exercise 4, Question 1
Write in scientific notation
(a) 0.008
= 8× 10−3
(b) 0.000067
= 6.7× 10−5
(c) 0.0931
= 9.31× 10−2
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Examples- Page 43, Exercise 4, Question 1
Write in scientific notation
(a) 0.008
= 8× 10−3
(b) 0.000067
= 6.7× 10−5
(c) 0.0931
= 9.31× 10−2
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Examples- Page 43, Exercise 4, Question 1
Write in scientific notation
(a) 0.008 = 8× 10−3
(b) 0.000067
= 6.7× 10−5
(c) 0.0931
= 9.31× 10−2
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Examples- Page 43, Exercise 4, Question 1
Write in scientific notation
(a) 0.008 = 8× 10−3
(b) 0.000067 = 6.7× 10−5
(c) 0.0931
= 9.31× 10−2
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Examples- Page 43, Exercise 4, Question 1
Write in scientific notation
(a) 0.008 = 8× 10−3
(b) 0.000067 = 6.7× 10−5
(c) 0.0931 = 9.31× 10−2
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Page 43, Exercise 4
Try Questions 1(c)-(h) & 2
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
In Reverse
To convert from scientific notation to full number form:
Move the decimal left by the number in the power of ten
Fill in the spaces with zeros (make sure there is a zerobefore the decimal point!)
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
In Reverse
To convert from scientific notation to full number form:
Move the decimal left by the number in the power of ten
Fill in the spaces with zeros (make sure there is a zerobefore the decimal point!)
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
In Reverse
To convert from scientific notation to full number form:
Move the decimal left by the number in the power of ten
Fill in the spaces with zeros (make sure there is a zerobefore the decimal point!)
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
In Reverse
To convert from scientific notation to full number form:
Move the decimal left by the number in the power of ten
Fill in the spaces with zeros (make sure there is a zerobefore the decimal point!)
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Page 43, Exercise 4, Question 3
Write the following numbers in full
(a) 3.4× 10−2
= 0.034
(b) 5.7× 10−4
= 0.00057
(c) 6.38× 10−3
= 0.00638
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Page 43, Exercise 4, Question 3
Write the following numbers in full
(a) 3.4× 10−2
= 0.034
(b) 5.7× 10−4
= 0.00057
(c) 6.38× 10−3
= 0.00638
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Page 43, Exercise 4, Question 3
Write the following numbers in full
(a) 3.4× 10−2
= 0.034
(b) 5.7× 10−4
= 0.00057
(c) 6.38× 10−3
= 0.00638
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Page 43, Exercise 4, Question 3
Write the following numbers in full
(a) 3.4× 10−2 = 0.034(b) 5.7× 10−4
= 0.00057
(c) 6.38× 10−3
= 0.00638
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Page 43, Exercise 4, Question 3
Write the following numbers in full
(a) 3.4× 10−2 = 0.034(b) 5.7× 10−4 = 0.00057(c) 6.38× 10−3
= 0.00638
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Page 43, Exercise 4, Question 3
Write the following numbers in full
(a) 3.4× 10−2 = 0.034(b) 5.7× 10−4 = 0.00057(c) 6.38× 10−3 = 0.00638
-
NegativePowers of ten
Small answers
Powers
Negative powers
ScientificNotation
The Quick Way
Your Turn
In reverse
Examples
Your Turn
Page 43, Exercise 4
Try Questions 3(d) onwards
Small answersPowersNegative powers
Scientific NotationThe Quick WayYour Turn
In reverseExamplesYour Turn