Convert 700 mm² to cm² Step by Step

Step by step

The question

Question: change 700 mm² to square centimeters.

1 Change the length

This square is 1 centimeter on each side.

Its area is 1 square centimeter.

1 centimeter is 10 millimeters.

So each side is 10 millimeters long.

1 cm = 10 mm

2 Change the area

So the square holds 10 rows of 10 small squares, each 1 square millimeter.

So 1 square centimeter is 10 millimeters times 10 millimeters.

1 cm² = 10 mm × 10 mm

10 times 10 is 100.

10 × 10 = 100

So 1 cm² = 100 mm².

Not 10: the 10 comes in twice.

1 cm² = 100 mm²

3 Divide

100 square millimeters make 1 square centimeter.

So we divide by 100: small unit to big unit.

700 mm² = 700 ÷ 100 cm²

Careful!

Dividing by 10 only changes a length.

For square units it is 10 times 10: 100.

Careful: not 700 ÷ 10 ✗

Divided by 100: the point moves 2 places to the left.

÷ 100: the point moves 2 places left

So 700 mm² = 7 cm².

700 mm² = 7 cm²

4 Check

Let's check: go back the other way.

Times 100.

7 × 100 = 700

We get 700 square millimeters again.

So it is right!

Let's look back.

First: change the length.

Then: change the area.

Then: divide.

Last: check.

Answer