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Write 45000 in scientific notation

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

Step by step

The question

Question: write 45000 in scientific notation.

45000

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 4 to the left made the number 10000 times smaller.

To make it the same again, we times by 10000.

That is 10⁴.

104 = 10000

So 45000 is 4.5000 × 10⁴.

= 4.5000 × 104

Zeros at the end, after the point, can go: 4.5000 is 4.5.

So we get 4.5 × 10⁴.

= 4.5 × 104

3 Check

Let's check: times 10000 moves the point 4 back to the right.

We get 45000 again!

4.5 × 10000 = 45000

Let's look back.

First: what it looks like.

Then: move the point.

Last: check.

Answer
= 4.5 × 104

Your turn

Try this one yourself, then check:

Write 37000
Show the answer
3.7 × 104

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