Steply

$1 = £0.80. Change £36 to dollars.

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

Step by step

The question

Question: change £36 to dollars, when $1 = £0.80.

$1 = £0.80. Change £36 to dollars.

1 Write the rate

The rate says: 1 dollar is worth 0.80 pounds.

$1 = £0.80

From dollars to pounds, we multiply by 0.80.

Going back, we divide by 0.80.

dollars → pounds: × 0.80
pounds → dollars: ÷ 0.80

2 Divide by the rate

Each $1 gives £0.80.

So we find how many £0.80 fit in £36: we divide by 0.80.

£36 = $ 360.80

Careful!

From pounds back to dollars goes the other way.

We divide, not multiply.

Careful: not 36 × 0.80 = 28.8 ✗

36 divided by 0.80 is $45.

= $45

To divide by 0.80, we move the point in both numbers 2 places: 3600 divided by 80.

36 ÷ 0.80 = 3600 ÷ 80 = 45

So £36 is $45.

3 Check

Let's check: change the answer back.

$45 times 0.80 is £36.

change it back: $45 × 0.80 = 36

That is what we started with.

So the answer is right!

£36 — what we started with

Let's look back.

First: write the rate.

Then: divide by the rate.

Last: check.

Answer
36 ÷ 0.80 = 3600 ÷ 80 = 45

Your turn

Try this one yourself, then check:

$1 = £0.80. Change £32 to dollars.
Show the answer
£32 = $40

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