Using Standard Form to Write Large Numbers

1
Using Standard Form to WriteLarge Numbers
2
Indices of Ten

• What Ordinary Numbers Are These ?

2
100
10 10 10 10
3
1,000
4
10,000
5
100,000
3
Indices of Ten

• Notice that the number of zeros
• matches the index number

2
100
10 10 10 10
3
1,000
4
10,000
5
100,000
4
Multiplying Multiples of Ten

• Multiply These Numbers

100 x 2
200
1,000 x 3
3,000
10,000 x 7
70,000
100,000 x 9
900,000
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Multiplying Multiples of Ten

• Did you notice that all you
• have to do is multiply 1 x whole
• number add the zeros behind?

100 x 2
200
1,000 x 3
3,000
10,000 x 7
70,000
100,000 x 9
900,000
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Short Cut for Writing Large Numbers

• Combine these two steps for
• writing large numbers.

6 x 10
2
600

6 x (10 x 10) 6 x 100 600
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Short Cut for Writing Large Numbers

• Remember!
• The index is the same as the number of zeros when
  using base 10.

2
6 x 10
600

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What is the Ordinary Number?
7 x 10
2
700

9
What is the Ordinary Number?
8 x 10
3
8,000

10
What is the Ordinary Number?
9 x 10
4
90,000

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What is the Ordinary Number?
4 x 10
2
400

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What is the Standard Form?
2
5 x 10
500

13
What is the Standard Form?
3
6 x 10
6,000

14
What is the Standard Form?
4
9 x 10
90,000

15
What is the Standard Form?
5
7 x 10
700,000