Step by step
The question
Question: write 81000000 in scientific notation.
81000000
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 7 to the left made the number 10000000 times smaller.
To make it the same again, we times by 10000000.
That is 10⁷.
107 = 10000000
So 81000000 is 8.1000000 × 10⁷.
= 8.1000000 × 107
Zeros at the end, after the point, can go: 8.1000000 is 8.1.
So we get 8.1 × 10⁷.
= 8.1 × 107
3 Check
Let's check: times 10000000 moves the point 7 back to the right.
We get 81000000 again!
8.1 × 10000000 = 81000000
Let's look back.
First: what it looks like.
Then: move the point.
Last: check.
Answer
= 8.1 × 107