Step by step
The question
Question: write 3200 in scientific notation.
3200
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 left made the number 1000 times smaller.
To make it the same again, we times by 1000.
That is 10³.
103 = 1000
So 3200 is 3.200 × 10³.
= 3.200 × 103
Zeros at the end, after the point, can go: 3.200 is 3.2.
So we get 3.2 × 10³.
= 3.2 × 103
3 Check
Let's check: times 1000 moves the point 3 back to the right.
We get 3200 again!
3.2 × 1000 = 3200
Let's look back.
First: what it looks like.
Then: move the point.
Last: check.
Answer
= 3.2 × 103