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Write 3200 in scientific notation

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

Step by step

The question

Question: write 3200 in scientific notation.

3200

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 left made the number 1000 times smaller.

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

That is 10³.

103 = 1000

So 3200 is 3.200 × 10³.

= 3.200 × 103

Zeros at the end, after the point, can go: 3.200 is 3.2.

So we get 3.2 × 10³.

= 3.2 × 103

3 Check

Let's check: times 1000 moves the point 3 back to the right.

We get 3200 again!

3.2 × 1000 = 3200

Let's look back.

First: what it looks like.

Then: move the point.

Last: check.

Answer
= 3.2 × 103

Your turn

Try this one yourself, then check:

Write 5100
Show the answer
5.1 × 103

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