Step by step
The question
Question: with the scale 1 cm : 15 km, how long is 4.2 cm on the map for real?
map → real
The scale means: 1 cm on the map is 15 km for real.
1 cm → 15 km
1 Multiply both sides
On the map we have 4.2 cm.
That is 4.2 times 1 cm.
So the real length is 4.2 times 15 km too.
4.2 cm → 15 × 4.2 km
We multiply both sides by the same number, 4.2.
× 4.2 on both sides
Forget the points: 15 times 42 is 630.
The numbers have 1 digit after the point.
So the answer has 1 too: 63.0, which is 63.
15 × 42 = 630 → 63.0
So the real length is 63 km.
4.2 cm → 63 km
2 Check
Let's check: go back.
63 divided by 15 should give the map length, 4.2.
63 ÷ 15 = 4.2
We get it again.
So 63 km is right!
Let's look back.
First: multiply both sides.
Last: check.
Answer
4.2 cm → 63 km