How do you write #87000# in scientific notation?

2 Answers
Mar 25, 2018

Answer:

#8.7*10^4#

Explanation:

When using scientific notation we want to keep the all the non-zero numbers that come before the string of zeroes, which are 8 and 7.

The decimal goes between the 8 and 7:
8.7

To get back to the original number we have to multiply 8.7 by 1000
or in other terms:

#8.7*10^4#

Mar 25, 2018

Answer:

#8.7*10^4#

Explanation:

We have the number, #87000#.

In scientific notation, we would write the number with its first digit followed by a decimal point, and then the second digit of the number, and then multiplied by #10# to a power that places the decimal point where it belongs in the number.

And so, to write the number #87000# in scientific notation, we first take the first digit of the number #8# and put a decimal point after it.

The number is #8.# right now.

Now, we place the second digit in the number #87000#, that is #7#, and we get,

#8.7#

Final step is to multiply the number by #10# to a power that puts the decimal place where it makes the desired number.

We got:

#8.7*10^1=87#

#8.7*10^2=870#

#8.7*10^3=8700#

#8.7*10^4=87000#

And so, the scientific notation of this number would be #8.7*10^4#.