# 00001 In Scientific Notation

In scientific notation, we write a number so that it has actually single digit to the left of decimal sign and also is multiplied by an integer power of #10#.

You watching: 00001 in scientific notation

Note that moving decimal #p# digits to ideal is equivalent to multiplying by #10^p# and moving decimal #q# digits to left is identical to splitting by #10^q#.

Hence, we need to either divide the number by #10^p# i.e. multiply by #10^(-p)# (if relocating decimal to right) or multiply the number by #10^q# (if relocating decimal to left).

In various other words, it is created as #axx10^n#, wright here #1 and #n# is an integer.

To create #0.0001# in scientific notation, we will need to relocate the decimal allude four points to best, which literally indicates multiplying by #10^4#.

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

Tony B
Jun 25, 2016

#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 however it does readjust the way it looks.")#

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

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

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

"~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

EZ as pi
Sep 5, 2017

#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 legislation of indices: #x^-1 = 1/x#, we have the right to remove the fraction:

#1/10^4 = 1xx10^-4" "larr # this is clinical notation.

A brief method of altering to clinical notation is to move the decimal suggest until there is only one (non-zero) digit to the left of the suggest. The variety of areas relocated is the index.

Point moves to the appropriate, the index decreases.Point moves to the left, the index boosts.

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