Convert 25000 cm² to m² Step by Step

Step by step

The question

Question: change 25,000 cm² to square meters.

1 Change the length

This square is 1 meter on each side.

Its area is 1 square meter.

1 meter is 100 centimeters.

So each side is 100 centimeters long.

1 m = 100 cm

2 Change the area

So the square holds 100 rows of 100 small squares, each 1 square centimeter.

We draw only a few of them.

So 1 square meter is 100 centimeters times 100 centimeters.

1 m² = 100 cm × 100 cm

100 times 100 is 10,000.

100 × 100 = 10,000

So 1 m² = 10,000 cm².

Not 100: the 100 comes in twice.

1 m² = 10,000 cm²

3 Divide

10,000 square centimeters make 1 square meter.

So we divide by 10,000: small unit to big unit.

25,000 cm² = 25,000 ÷ 10,000 m²

Careful!

Dividing by 100 only changes a length.

For square units it is 100 times 100: 10,000.

Careful: not 25,000 ÷ 100 ✗

Divided by 10,000: the point moves 4 places to the left.

÷ 10,000: the point moves 4 places left

So 25,000 cm² = 2.5 m².

25,000 cm² = 2.5 m²

4 Check

Let's check: go back the other way.

Times 10,000.

2.5 × 10,000 = 25,000

We get 25,000 square centimeters again.

So it is right!

Let's look back.

First: change the length.

Then: change the area.

Then: divide.

Last: check.

Answer