Convert 6 kilograms to grams Step by Step

Step by step

The question

Question: change 6 kilograms into grams.

6 kg = ? g

1 Find the link

1 kilogram is 1000 grams.

1 kg = 1000 g

2 Make the unit fraction

We want grams, so grams go on top.

We have kilograms, so kilograms go at the bottom.

Top and bottom are the same amount.

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

1000 g1 kg = 1

Careful!

Not upside down.

Then the kilograms would not cross out.

Careful: not 6 kg × 1 kg1000 g ✗

3 Multiply

We multiply 6 kilograms by the fraction.

6 kg = 6 kg × 1000 g1 kg

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

Cross them out.

Grams are left.

What is left: 6 times 1000.

= 6 × 1000 g

6 times 1000 is 6000.

So 6 kilograms is 6000 grams.

= 6000 g

4 Check

Does it make sense?

Grams are smaller than kilograms.

So we need more of them.

6000 is more than 6.

Yes.

g smaller than kg → more: 6000 > 6

And back the other way: 6000 divided by 1000 = 6.

We get 6 kilograms again.

So the answer is right!

back: 6000 ÷ 1000 = 6

Let's look back.

First: find the link.

Then: make the unit fraction.

Then: multiply.

Last: check.

Answer