0.000301 in scientific notation?

don't understand

2 Answers
May 4, 2018

#=3.01e-4#

Explanation:

We can start out by writing the number in standard form, which means that it shouldn't exceed #10#. So in this case, we are writing it as #3.01 \cdot10^(-4)# instead of #30.1*10^(-3)#.

The only difference standard form is to scientific form, is that we are writing the #10^(-4)# to be #e-4# instead.

May 4, 2018

#3.01*10^-4#

Explanation:

The first thing you should to know is that scientific numbers are between 1 and 9

so move the dot 4 digits to the right

#00003.01#

zeros on the left of the number you can remove them

#cancel(0000)3.01#

the multiply the number by 10 to the power of (how many digits you've moved the dot)

so

#3.01*10^-4#

negative 4 because you moved the dot to the right if you move it to the left the power will be positive like

#32000# = #32000.0# = #3.2 * 10^4#