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Calculate -1 - (-7) + (-11)

Step by step, with the reason for every step · Integers · Foundations

Step by step

The question

Question: work out −1 − (−7) + (−11).

−1 − (−7) + (−11)

1 Plus and minus

Plus and minus: we go from left to right.

Taking away a negative is the same as adding.

same kind: left → right
− (−) = +

So −1 − (−7) becomes −1 + 7.

= −1 + 7 + (−11)

Start at −1.

Go up 7.

We land on 6.

= 6 + (−11)

Adding a negative is the same as taking away.

+ (−) = −

So 6 + (−11) becomes 6 − 11.

= 6 − 11

We take away more than we have.

Start at 6.

Go down 11.

We pass 0 and land on −5.

= −5

So the answer is −5.

Answer
= −5

Your turn

Try this one yourself, then check:

Work out −1 − (−10) + (−14)
Show the answer
−5

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