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Write 3 × 10^5 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 × 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

Your turn

Try this one yourself, then check:

Write 5 × 105
Show the answer
500000

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