write the standard form of 3.05×10^-4
Answers
Answer:
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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