Step by step
The question
Question: write 5.08 × 10³ as a normal number.
5.08 × 103
1 Read the power
10³ is 1000.
Times 1000 makes the number bigger, so the point moves 3 places to the right.
103 = 1000
right 3 places
2 Move the point
There are not enough digits after the point.
We write 1 zero at the end.
Zeros there do not change the number.
= 5.080
The point is at the end now, so we leave it out.
So 5.08 × 10³ = 5080.
= 5080
Careful!
The power is not the number of zeros.
It is how many places the point moves.
5.08 already has 2 digits after the point.
Careful: not 508000 ✗
3 Check
Let's check: times 1000.
5.08 times 1000 is 5080.
It works!
5.08 × 1000 = 5080
Let's look back.
First: read the power.
Then: move the point.
Last: check.
Answer
= 5080