Convert 4500 grams to kilograms Step by Step

Step by step

The question

Question: change 4500 grams into kilograms.

4500 g = ? kg

1 Find the link

1 kilogram is 1000 grams.

1 kg = 1000 g

2 Make the unit fraction

We want kilograms, so kilograms go on top.

We have grams, so grams go at the bottom.

Top and bottom are the same amount.

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

1 kg1000 g = 1

Careful!

Not upside down.

Then the grams would not cross out.

Careful: not 4500 g × 1000 g1 kg ✗

3 Multiply

We multiply 4500 grams by the fraction.

4500 g = 4500 g × 1 kg1000 g

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

Cross them out.

Kilograms are left.

What is left: 4500, divided by 1000.

= 45001000 kg

4500 divided by 1000 is 4.5.

So 4500 grams is 4.5 kilograms.

= 4.5 kg

4 Check

Does it make sense?

Kilograms are bigger than grams.

So we need fewer of them.

4.5 is less than 4500.

Yes.

kg bigger than g → fewer: 4.5 < 4500

And back the other way: 4.5 times 1000 = 4500.

We get 4500 grams again.

So the answer is right!

back: 4.5 × 1000 = 4500

Let's look back.

First: find the link.

Then: make the unit fraction.

Then: multiply.

Last: check.

Answer