Step by step
The question
Question: write 3 × 10⁵ as a normal number.
3 × 105
1 Read the power
10⁵ is 100000.
Times 100000 makes the number bigger, so the point moves 5 places to the right.
105 = 100000
right 5 places
2 Move the point
There are not enough digits after the point.
We write 5 zeros at the end.
Zeros there do not change the number.
= 3.00000
The point is at the end now, so we leave it out.
So 3 × 10⁵ = 300000.
= 300000
Careful!
The power is not the number of zeros.
It is how many places the point moves.
3 already has 0 digit after the point.
Careful: not 300000 ✗
3 Check
Let's check: times 100000.
3 times 100000 is 300000.
It works!
3 × 100000 = 300000
Let's look back.
First: read the power.
Then: move the point.
Last: check.
Answer
= 300000