Step by step
The question
Question: change €245 to dollars, when €1 = $1.08.
€1 = $1.08. Change €245 to dollars.
1 Write the rate
The rate says: 1 euro is worth 1.08 dollars.
€1 = $1.08
From euros to dollars, we multiply by 1.08.
Going back, we divide by 1.08.
euros → dollars: × 1.08
dollars → euros: ÷ 1.08
2 Multiply by the rate
Each euro is worth $1.08.
245 euros are worth 245 times as much.
€245 = 245 × $1.08
245 times 1.08 is $264.60.
= $264.60
To multiply decimals: first 245 times 108, as whole numbers.
That is 26460.
Then count the decimal places: 2.
245 × 108 = 26460
2 decimal places: 264.6
Careful!
Check the direction.
Euros to dollars: we multiply by the rate.
Careful: euros → dollars: × the rate
So €245 is $264.60.
3 Check
Let's check: change the answer back.
$264.60 divided by 1.08 is €245.
change it back: $264.60 ÷ 1.08 = 245
That is what we started with.
So the answer is right!
€245 — what we started with
Let's look back.
First: write the rate.
Then: multiply by the rate.
Last: check.
Answer
Careful: euros → dollars: × the rate