How do you write #0.0001# in scientific notation?

3 Answers
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

7
Jun 25, 2016

Answer:

#0.0001=1.0xx10^(-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 #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 #axx10^n#, 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 #10^4#.

Hence in scientific notation #0.0001=1.0xx10^(-4)# (note that as we have moved decimal one point to right we are multiplying by #10^(-4)#.

Was this helpful? Let the contributor know!
1500
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

3
Tony B Share
Jun 25, 2016

Answer:

#1.0xx10^(-4)#

Explanation:

#color(brown)("Multiply by 1 by but in the form of "1=10000/10000)#
#color(brown)("This does not change the value but it does change the way it looks.")#

#" "0.0001" "=" "0.0001xx10000/10000#

#" "=(0.0001xx10000)xx1/10000#

#" " = 1.0/10000" "=" "1.0/10^4 #

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#" Another way of writing "1.0/10^4" is "1.0xx10^(-4)#

Was this helpful? Let the contributor know!
1500
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

1
Sep 5, 2017

Answer:

#1 xx 10^-4#

Explanation:

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

#0.0001 = 1/(10,000) = 1/10^4#

Using the law of indices: #x^-1 = 1/x#, we can get rid of the fraction:

#1/10^4 = 1xx10^-4" "larr # 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.

#0color(blue)(.000)1 = 1xx10^-4#

Was this helpful? Let the contributor know!
1500
Impact of this question
4074 views around the world
You can reuse this answer
Creative Commons License