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$1 = €0.80. Change $250 to euros.

Step by step, with the reason for every step · Exchange rates · Foundations

Step by step

The question

Question: change $250 to euros, when $1 = €0.80.

$1 = €0.80. Change $250 to euros.

1 Write the rate

The rate says: 1 dollar is worth 0.80 euros.

$1 = €0.80

From dollars to euros, we multiply by 0.80.

Going back, we divide by 0.80.

dollars → euros: × 0.80
euros → dollars: ÷ 0.80

2 Multiply by the rate

Each dollar is worth €0.80.

250 dollars are worth 250 times as much.

$250 = 250 × €0.80

250 times 0.80 is €200.

= €200

To multiply decimals: first 250 times 80, as whole numbers.

That is 20000.

Then count the decimal places: 2.

250 × 80 = 20000
2 decimal places: 200

Careful!

Check the direction.

Dollars to euros: we multiply by the rate.

Careful: dollars → euros: × the rate

So $250 is €200.

3 Check

Let's check: change the answer back.

€200 divided by 0.80 is $250.

change it back: €200 ÷ 0.80 = 250

That is what we started with.

So the answer is right!

$250 — 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

Your turn

Try this one yourself, then check:

$1 = €0.90. Change $290 to euros.
Show the answer
$290 = €261

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