How do you write 0.0001 in scientific notation?

3 Answers
Shwetank Mauria
Jun 25, 2016

0.0001=1.0×10−4

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 10p and moving decimal q digits to left is equivalent to dividing by 10q.

Hence, we should either divide the number by 10p i.e. multiply by 10−p (if moving decimal to right) or multiply the number by 10q (if moving decimal to left).

In other words, it is written as a×10n, where 1≤a<10 and n is an integer.

To write 0.0001 in scientific notation, we will have to move the decimal point four points to right, which literally means multiplying by 104.

Hence in scientific notation 0.0001=1.0×10−4 (note that as we have moved decimal one point to right we are multiplying by 10−4.

Tony B
Jun 25, 2016

1.0×10−4

Explanation:

Multiply by 1 by but in the form of 1=1000010000
This does not change the value but it does change the way it looks.

0.0001 = 0.0001×1000010000

=(0.0001×10000)×110000

=1.010000 = 1.0104

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Another way of writing 1.0104 is 1.0×10−4

EZ as pi
Sep 5, 2017

1×10−4

Explanation:

Decimals are a form of writing fractions which have powers of 10 as their denominators.

0.0001=110,000=1104

Using the law of indices: x−1=1x, we can get rid of the fraction:

1104=1×10−4 ← this is scientific notation.

A short way of changing to scientific notation is to move the decimal point until there is only one (non-zero) digit to the left of the point. The number of places moved is the index.

Point moves to the right, the index decreases.
Point moves to the left, the index increases.

0.0001=1×10−4

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