Express 0.0045 in p/q form.
Answers
Answer:
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Step-by-step explanation:
Answer:
0.0045
=
4.5
×
10
−
3
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
.
Note that moving decimal
p
digits to right is equivalent to multiplying by
10
p
and moving decimal
q
digits to left is equivalent to dividing by
10
q
.
Hence, we should either divide the number by
10
p
i.e. multiply by
10
−
p
(if moving decimal to right) or multiply the number by
10
q
(if moving decimal to left).
In other words, it is written as
a
×
10
n
, where
1
≤
a
<
10
and
n
is an integer.
To write
0
,
0045
in scientific notation, we will have to move the decimal point three point to right, which literally means multiplying by
1000
=
10
3
.
Hence in scientific notation
0.0045
=
4.5
×
10
−
3
(note that as we have moved decimal three point to right we are multiplying by
10
−
3
......
Answer: