# Standard form

**Admin**Administrator- Posts : 180

The mathematician like other scientists faces at times with either small numbers or larger number. They have, therefore, tried to device some means of shortening the writing of some of the numbers.

For instance:

1 988 000 000

Written in this form the figures are many. We can actually shorten it by writing each number between 1 and 9, then multiply it by powers of 10.

See how it could be done.

Example:

1 988 000 000 = 1988 x 10

= 1.988 x 1000 x 10

= 1.988 x 10

= 1.988 x 10

Therefore, the standard form of 1 988 000 000 = 1.988 x 10

For example:

1000 = 10

100 000 = 10

1 000 000 000 = 10

Numbers can be expressed as a product of two terms one of which is a power of 10

Example:

30 000 = 2 x 10 000 = 2 x 10

8 000 = 8 x 1000 = 8 x 10

9500000 = 9.5 x 1000000 = 9.5 x 10

These shows that the numbers 30 000, 8 000 and 9 500 000 have been expressed as the product of two terms.

If you have any questions please post it here and we will get you cleared?

For instance:

1 988 000 000

Written in this form the figures are many. We can actually shorten it by writing each number between 1 and 9, then multiply it by powers of 10.

See how it could be done.

Example:

1 988 000 000 = 1988 x 10

^{6}= 1.988 x 1000 x 10

^{6}= 1.988 x 10

^{3}x 10^{6}= 1.988 x 10

^{9}Therefore, the standard form of 1 988 000 000 = 1.988 x 10

^{9}#### Expressing Numbers as Powers of Ten

Numbers such as 1000, 100 000, 1 000 000 000 are expressed as powers of 10For example:

1000 = 10

^{3}100 000 = 10

^{5}1 000 000 000 = 10

^{9}Numbers can be expressed as a product of two terms one of which is a power of 10

Example:

30 000 = 2 x 10 000 = 2 x 10

^{4}8 000 = 8 x 1000 = 8 x 10

^{3}9500000 = 9.5 x 1000000 = 9.5 x 10

^{6}These shows that the numbers 30 000, 8 000 and 9 500 000 have been expressed as the product of two terms.

If you have any questions please post it here and we will get you cleared?

MathsBoard Forum Admin

You can avoid reality, but you cannot avoid the consequences of avoiding reality.

**Geaty**Member- Posts : 36

What of the standard form which the powers are negative

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