Convert 2 km² to m² Step by Step | Converting area units

Step by step

The question

Question: change 2 km² to square meters.

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 Multiply

Each square kilometer is 1,000,000 square meters.

We have 2 of them, so we multiply: big unit to small unit.

2 km² = 2 × 1,000,000 m²

Careful!

Times 1,000 only changes a length.

A square has two sides to change: times 1,000, and times 1,000 again.

Careful: not 2 × 1,000 ✗

Times 1,000,000: write 6 zeros after 2.

× 1,000,000: the point moves 6 places right

So 2 km² = 2,000,000 m².

2 km² = 2,000,000 m²

4 Check

Let's check: go back the other way.

Divide by 1,000,000.

2,000,000 ÷ 1,000,000 = 2

We get 2 square kilometers again.

So it is right!

Let's look back.

First: change the length.

Then: change the area.

Then: multiply.

Last: check.

Answer