Write 3.07 × 10⁵ as an ordinary number.

Step by step

The question

Question: write 3.07 × 10⁵ as a normal number.

We write a number like 3.07 × 10⁵ the long way.

1 Read the power

The power is 5, a plus power.

So the point moves 5 places to the right.

10⁵ is 100000.

2 Move the point

We need 5 jumps.

The point first jumps over the digits after it in 3.07: 2 jumps.

5 take away 2 is 3 more, so we write 3 zeros at the end.

Zeros there do not change the number.

Here is the point.

It moves 5 places to the right.

We count the jumps: 1, 2, 3, 4, 5.

The point is here now.

The point is at the end now, so we leave it out.

So 3.07 × 10⁵ = 307000.

Careful!

The power is not the number of zeros.

It is how many places the point moves.

3.07 already has 2 digits after the point.

3 Check

Let's check: times 100000.

3.07 times 100000 is 307000.

It works!

Let's look back.

First: read the power.

Then: move the point.

Last: check.