Steply

Write 0.007 in scientific notation

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

Step by step

The question

Question: write 0.007 in scientific notation.

0.007

1 What it looks like

Scientific notation is a number from 1 to under 10, times a power of 10.

a × 10n a: from 1 to under 10

2 Move the point

Moving the point 3 to the right made the number 1000 times bigger.

To make it the same again, we divide by 1000.

That is times 10⁻³.

10−3 = 11000

So 0.007 is 7 × 10⁻³.

= 7 × 10−3

3 Check

Let's check: divide by 1000 moves the point 3 back to the left.

We get 0.007 again!

7 ÷ 1000 = 0.007

Let's look back.

First: what it looks like.

Then: move the point.

Last: check.

Answer
= 7 × 10−3

Your turn

Try this one yourself, then check:

Write 0.006
Show the answer
6 × 10−3

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