Write the following number in standard form
3.45 x 10^-4

In standard notation

3.5×10

4=

35000

Explanation:

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of

10

.

In other words, in scientific notation, a number is written as

a

×

10

n

, where

1

≤

a

<

10

and

n

is an integer and

1

≤

a

<

10

.

To write the number in normal or standard notation one just needs to multiply by the power

10

n

(or divide if

n

is negative). This means moving decimal

n

digits to right if multiplying by

10

n

and moving decimal

n

digits to left if dividing by

10

n

(i.e. multiplying by

10

−

n

).

In the given case, as we have the number as

3.5

×

10

4

, we need to move decimal digit to the right by three points. For this, let us write

3.5

as

3.50000

and moving decimal point four points to right means

35000.0

Hence in standard notation

3.5

×

10

4

=

35000

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