Steply

Write 0.000419 in scientific notation

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

Step by step

The question

Question: write 0.000419 in scientific notation.

0.000419

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 right made the number 10000 times bigger.

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

That is times 10⁻⁴.

10−4 = 110000

So 0.000419 is 4.19 × 10⁻⁴.

= 4.19 × 10−4

3 Check

Let's check: divide by 10000 moves the point 4 back to the left.

We get 0.000419 again!

4.19 ÷ 10000 = 0.000419

Let's look back.

First: what it looks like.

Then: move the point.

Last: check.

Answer
= 4.19 × 10−4

Your turn

Try this one yourself, then check:

Write 0.000535
Show the answer
5.35 × 10−4

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