Steply

$1 = €0.92. Change $350 into euros.

Step by step, with the reason for every step · IGCSE Maths Core Paper 3 · IGCSE Maths

Step by step

The question

Question: change $350 to euros, when $1 = €0.92.

$1 = €0.92. Change $350 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.

350 dollars are worth 350 times as much.

$350 = 350 × €0.92

To multiply decimals: first 350 times 92, as whole numbers.

That is 32200.

Then count the decimal places: 2.

So it is 322.

350 × 92 = 32200
2 decimal places: 322

So 350 times 0.92 is €322.

= €322

Careful!

Check the direction.

Dollars to euros: we multiply by the rate.

Careful: dollars → euros: × the rate

So $350 is €322.

3 Check

Let's check: change the answer back.

€322 divided by 0.92 is $350.

change it back: €322 ÷ 0.92 = 350

That is what we started with.

So the answer is right!

$350 — what we started with

Let's look back.

First: write the rate.

Then: multiply by the rate.

Last: check.

Answer
= €322

Your turn

Try this one yourself, then check your answer:

$1 = €0.85. Change $300 to euros.
Show the answer
$300 = €255

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