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Write 4.5 × 10^4 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 4.5 × 10⁴ as a normal number.

4.5 × 104

1 Read the power

10⁴ is 10000.

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

104 = 10000
right 4 places

2 Move the point

There are not enough digits after the point.

We write 3 zeros at the end.

Zeros there do not change the number.

= 4.5000

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

So 4.5 × 10⁴ = 45000.

= 45000

Careful!

The power is not the number of zeros.

It is how many places the point moves.

4.5 already has 1 digit after the point.

Careful: not 450000 ✗

3 Check

Let's check: times 10000.

4.5 times 10000 is 45000.

It works!

4.5 × 10000 = 45000

Let's look back.

First: read the power.

Then: move the point.

Last: check.

Answer
= 45000

Your turn

Try this one yourself, then check:

Write 5.1 × 104
Show the answer
51000

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