Step by step
The question
Question: change $65 to euros, when $1 = €0.92.
$1 = €0.92. Change $65 to euros.
1 Write the rate
The rate says: 1 dollar is worth 0.92 euros.
$1 = €0.92
From dollars to euros, we multiply by 0.92.
Going back, we divide by 0.92.
dollars → euros: × 0.92
euros → dollars: ÷ 0.92
2 Multiply by the rate
Each dollar is worth €0.92.
65 dollars are worth 65 times as much.
$65 = 65 × €0.92
65 times 0.92 is €59.80.
= €59.80
To multiply decimals: first 65 times 92, as whole numbers.
That is 5980.
Then count the decimal places: 2.
65 × 92 = 5980
2 decimal places: 59.8
Careful!
Check the direction.
Dollars to euros: we multiply by the rate.
Careful: dollars → euros: × the rate
So $65 is €59.80.
3 Check
Let's check: change the answer back.
€59.80 divided by 0.92 is $65.
change it back: €59.80 ÷ 0.92 = 65
That is what we started with.
So the answer is right!
$65 — what we started with
Let's look back.
First: write the rate.
Then: multiply by the rate.
Last: check.
Answer
Careful: dollars → euros: × the rate