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Difference between -12°C and -5°C

Step by step, with the reason for every step · Negative numbers in real life · Foundations

Step by step

The question

Question: what is the difference between −12°C and −5°C?

difference between −12°C and −5°C

The difference is how far apart the two numbers are.

It is never negative.

difference = how far apart

1 Mark both numbers

On the number line: −12 and −5.

We go from the smaller one, −12, up to the bigger one, −5.

2 Bigger minus smaller

The bigger one minus the smaller one: −5 minus −12.

= −5 − (−12)

Taking away a negative is the same as adding.

Minus minus 12 is plus 12.

= −5 + 12

Careful!

Do not drop the minus sign of −12.

−12 is below zero, so it is further away.

Careful: not −5 − 12 = -17 ✗

−5 plus 12 is 7°C.

= 7°C

So the difference is 7 degrees.

3 Check

Let's check: start at −12 and go up 7.

We land on −5.

So the answer is right!

−12 + 7 = −5

Let's look back.

First: mark both numbers.

Then: bigger minus smaller.

Last: check.

Answer
= 7°C

Your turn

Try this one yourself, then check:

difference between −10°C and −2°C
Show the answer
8°C

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