Scale 1 : 1000, 6.5 cm on the plan

Step by step

The question

Question: with the scale 1 : 1000, how long is 6.5 cm on the plan for real?

The scale 1 : 1000 means: 1 cm on the plan is 1000 cm for real.

Everything is 1000 times bigger.

1 Multiply both sides

On the plan we have 6.5 cm.

That is 6.5 times 1 cm.

So the real length is 6.5 times 1000 cm too.

We multiply both sides by the same number, 6.5.

Forget the points: 1000 times 65 is 65000.

The numbers have 1 digit after the point.

So the answer has 1 too: 6500.0, which is 6500.

So the real length is 6500 cm.

2 Change the unit

6500 cm is a big number.

100 cm make 1 m, so we divide by 100.

6500 divided by 100 is 65.

So it is 65 m.

3 Check

Let's check: go back.

6500 divided by 1000 should give the plan length, 6.5.

We get it again.

So 65 m is right!

Let's look back.

First: multiply both sides.

Then: change the unit.

Last: check.