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Write 3.004 × 10^8 as a normal number

Step by step, with the reason for every step · From scientific notation · Algebra 1

Step by step

The question

Question: write 3.004 × 10⁸ as a normal number.

3.004 × 108

1 Read the power

10⁸ is 100000000.

Times 100000000 makes the number bigger, so the point moves 8 places to the right.

108 = 100000000
right 8 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.

= 3.00400000

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

So 3.004 × 10⁸ = 300400000.

= 300400000

Careful!

The power is not the number of zeros.

It is how many places the point moves.

3.004 already has 3 digits after the point.

Careful: not 300400000000 ✗

3 Check

Let's check: times 100000000.

3.004 times 100000000 is 300400000.

It works!

3.004 × 100000000 = 300400000

Let's look back.

First: read the power.

Then: move the point.

Last: check.

Answer
= 300400000

Your turn

Try this one yourself, then check:

Write 2.932 × 108
Show the answer
293200000

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