Write 1.009 × 10^4 in standard form

Step by step

The question

Question: write 1.009 × 10⁴ as a normal number.

1 Read the power

10⁴ is 10000.

Times 10000 makes the number bigger, so the point moves 4 places to the right.

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.

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

So 1.009 × 10⁴ = 10090.

Careful!

The power is not the number of zeros.

It is how many places the point moves.

1.009 already has 3 digits after the point.

3 Check

Let's check: times 10000.

1.009 times 10000 is 10090.

It works!

Let's look back.

First: read the power.

Then: move the point.

Last: check.