Convert 3.5 km to m Step by Step

Step by step

The question

Question: change 3.5 kilometers into meters.

3.5 km = ? m

1 Find the link

1 kilometer is 1000 meters.

1 km = 1000 m

2 Make the unit fraction

We want meters, so meters go on top.

We have kilometers, so kilometers go at the bottom.

Top and bottom are the same amount.

So the fraction is 1, and times 1 keeps the size.

1000 m1 km = 1

Careful!

Not upside down.

Then the kilometers would not cross out.

Careful: not 3.5 km × 1 km1000 m ✗

3 Multiply

We multiply 3.5 kilometers by the fraction.

3.5 km = 3.5 km × 1000 m1 km

Kilometers on top and at the bottom cancel, like numbers.

Cross them out.

Meters are left.

What is left: 3.5 times 1000.

= 3.5 × 1000 m

3.5 times 1000 is 3500.

So 3.5 kilometers is 3500 meters.

= 3500 m

4 Check

Does it make sense?

Meters are smaller than kilometers.

So we need more of them.

3500 is more than 3.5.

Yes.

m smaller than km → more: 3500 > 3.5

And back the other way: 3500 divided by 1000 = 3.5.

We get 3.5 kilometers again.

So the answer is right!

back: 3500 ÷ 1000 = 3.5

Let's look back.

First: find the link.

Then: make the unit fraction.

Then: multiply.

Last: check.

Answer