How do you write #0.03054 # in scientific notation?

1 Answer
Mar 24, 2018

Answer:

#3.054 \times 10^{-2}#

Explanation:

Writing numbers in scientific notation means moving the decimal point left or right so that the number is between #1# and #10#.

In the number #0.03054#, you need to move the decimal point two places to the right to get to #3.054# (which is between 1 and 10).

Since you moved the decimal point two places to the right, you must indicate it by saying that you multiplied #3.054# by #10^{-2}#. Think about it: #3.054 \times 10^{-2} = 0.03054#. In other words, you are kind of writing equivalence statements.