Convert 3000000 m² to km² Step by Step

Step by step

The question

Question: change 3,000,000 m² to square kilometers.

1 Change the length

This square is 1 kilometer on each side.

Its area is 1 square kilometer.

1 kilometer is 1,000 meters.

So each side is 1,000 meters long.

1 km = 1,000 m

2 Change the area

So the square holds 1,000 rows of 1,000 small squares, each 1 square meter.

We draw only a few of them.

So 1 square kilometer is 1,000 meters times 1,000 meters.

1 km² = 1,000 m × 1,000 m

1,000 times 1,000 is 1,000,000.

1,000 × 1,000 = 1,000,000

So 1 km² = 1,000,000 m².

Not 1,000: the 1,000 comes in twice.

1 km² = 1,000,000 m²

3 Divide

1,000,000 square meters make 1 square kilometer.

So we divide by 1,000,000: small unit to big unit.

3,000,000 m² = 3,000,000 ÷ 1,000,000 km²

Careful!

Dividing by 1,000 only changes a length.

For square units it is 1,000 times 1,000: 1,000,000.

Careful: not 3,000,000 ÷ 1,000 ✗

Divided by 1,000,000: the point moves 6 places to the left.

÷ 1,000,000: the point moves 6 places left

So 3,000,000 m² = 3 km².

3,000,000 m² = 3 km²

4 Check

Let's check: go back the other way.

Times 1,000,000.

3 × 1,000,000 = 3,000,000

We get 3,000,000 square meters again.

So it is right!

Let's look back.

First: change the length.

Then: change the area.

Then: divide.

Last: check.

Answer