How do you write the answer of #0.3(8.2 times 10^-3)# in scientific notation?

1 Answer
Shwetank Mauria
Feb 25, 2017

#0.3(8.2xx10^-3)=2.46xx10^-3#

Explanation:

#0.3(8.2xx10^-3)#

= #(0.3xx8.2)xx10^-3#

= #2.46xx10^-3#

As #1<=2.46<10# i.e. unit digit number multiplied by a power of #10#

#2.46xx10^-3# is in scientific notation and is our answer.

Note - Had the result been #0.246# or #24.6#, we would have to modify it to #2.46xx10^(-1)# or #2.46xx10^1# and modify answer appropriately i.e. change answer to
#2.46xx10^(-1)xx10^(-3)=2.46xx10^(-4)# or
#2.46xx10^1xx10^(-3)=2.46xx10^(-2)#

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