Transcript Rational Numbers 1

Stage 5
Year 9
Scientific
Notation
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1
Scientific Notation – Large Numbers
(Also known as Standard Notation)
12 345
Write 354 000 in scientific notation.


How?
1. Move the decimal point from where it is 
to the standard position. 
(After the first non-zero number from the left.)
3.54 x 10?
2. How many places is it from the red arrow  to the
green arrow (where decimal point was)? +5
(with direction)
3.54 x 105
2
2
Scientific Notation – Large Numbers
Write 3.45 x 104 in normal notation.
1. Move the decimal point to the right the number of
places as indicate by the index, adding zeros as needed.
1 234
34500.
345
.
3.45
2. Fill in any missing zeros
AAMath
3
A
B
3.751x103 3751x103
A
B
C
D
3751x101 37.51x102
3751
C
D
4
A
9.1x103
A
B
9.1x104
B
C
91x103
91000
C
D
91x104
D
5
A
904x100
A
B
90.4x101
B
C
9.04x102
904
C
D
904x102
D
6
Scientific Notation – Small Numbers
-3-2-1
Write 0.004 35 in scientific notation.


How?
1. Move the decimal point from where it is 
to the standard position. 
(After the first non-zero number from the left.)
4.35 x 10?
2. How many places is it from the red arrow  to the
green arrow (where decimal point was)? -3
(with direction)
4.35 x 10-3
AAmath
7
Scientific Notation – Small Numbers
Write 3.45 x 10-4 in normal notation.
1. Move the decimal point to the left the number of places
as indicate by the index, adding zeros as needed.
43 21
0.
0.000345
345
3.45
2. Fill in any missing zeros
AAMath
8
A
147x10-3
A
B
C
D
3751x10-3 1.47x10-1 14.7x10-2
B
0.147
C
D
9
A
98x100
A
B
9.8x101
B
C
98x10-6
0.000098
C
D
9.8x10-5
D
10
A
3.4x10-4
A
B
3.4x10-3
B
C
34x10-3
0.0034
C
D
34x103
D
11