Step by step
The question
Question: write 0.007 in scientific notation.
0.007
1 What it looks like
Scientific notation is a number from 1 to under 10, times a power of 10.
a × 10n a: from 1 to under 10
2 Move the point
Moving the point 3 to the right made the number 1000 times bigger.
To make it the same again, we divide by 1000.
That is times 10⁻³.
10−3 = 11000
So 0.007 is 7 × 10⁻³.
= 7 × 10−3
3 Check
Let's check: divide by 1000 moves the point 3 back to the left.
We get 0.007 again!
7 ÷ 1000 = 0.007
Let's look back.
First: what it looks like.
Then: move the point.
Last: check.
Answer
= 7 × 10−3