Step by step
The question
Question: write 6.02 × 10⁻³ as a normal number.
6.02 × 10−3
1 Read the power
10⁻³ is 1/1000.
That divides by 1000: the number gets smaller, so the point moves 3 places to the left.
10−3 = 11000
left 3 places
2 Move the point
There are no digits in front of it.
We write 3 zeros in front.
Zeros there do not change the number.
= 0006.02
A 0 goes in front of the point.
So 6.02 × 10⁻³ = 0.00602.
= 0.00602
Careful!
The power is not the number of zeros after the point.
It is how many places the point moves.
Careful: not 0.000602 ✗
3 Check
Let's check: divide by 1000.
6.02 divided by 1000 is 0.00602.
It works!
6.02 ÷ 1000 = 0.00602
Let's look back.
First: read the power.
Then: move the point.
Last: check.
Answer
= 0.00602