Step by step
The question
Question: with the scale 1 cm : 5 km, how long is 7 cm on the map for real?
map → real
The scale means: 1 cm on the map is 5 km for real.
1 cm → 5 km
1 Multiply both sides
On the map we have 7 cm.
That is 7 times 1 cm.
So the real length is 7 times 5 km too.
7 cm → 5 × 7 km
We multiply both sides by the same number, 7.
× 7 on both sides
5 times 7 is 35.
So the real length is 35 km.
7 cm → 35 km
2 Check
Let's check: go back.
35 divided by 5 should give the map length, 7.
35 ÷ 5 = 7
We get it again.
So 35 km is right!
Let's look back.
First: multiply both sides.
Last: check.
Answer
7 cm → 35 km