Step by step
The question
Question: write 45000 in scientific notation.
45000
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 4 to the left made the number 10000 times smaller.
To make it the same again, we times by 10000.
That is 10⁴.
104 = 10000
So 45000 is 4.5000 × 10⁴.
= 4.5000 × 104
Zeros at the end, after the point, can go: 4.5000 is 4.5.
So we get 4.5 × 10⁴.
= 4.5 × 104
3 Check
Let's check: times 10000 moves the point 4 back to the right.
We get 45000 again!
4.5 × 10000 = 45000
Let's look back.
First: what it looks like.
Then: move the point.
Last: check.
Answer
= 4.5 × 104