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Integers

Add, subtract, multiply, divide · Foundations · 25 problems, easy to harder

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Worked examples

Calculate 4 - (-2) Medium

The question

Question: work out 4 − (−2).

4 − (−2)

1 Take away

Taking away a negative is the same as adding.

− (−) = +

So 4 − (−2) becomes 4 + 2.

= 4 + 2

4 plus 2 is 6.

= 6

So the answer is 6.

Answer
= 6

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Calculate -3 - 8 + (-2) - (-10) Harder

The question

Question: work out −3 − 8 + (−2) − (−10).

−3 − 8 + (−2) − (−10)

1 Plus and minus

Plus and minus: we go from left to right.

same kind: left → right

Start at −3.

Go down 8.

We land on −11.

= −11 + (−2) − (−10)

Adding a negative is the same as taking away.

+ (−) = −

So −11 + (−2) becomes −11 − 2.

= −11 − 2 − (−10)

Start at −11.

Go down 2.

We land on −13.

= −13 − (−10)

Taking away a negative is the same as adding.

− (−) = +

So −13 − (−10) becomes −13 + 10.

= −13 + 10

Start at −13.

Go up 10.

We land on −3.

= −3

So the answer is −3.

Answer
= −3

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Practice

Try each one, then open the answer. Stuck? Open the problem to watch every step.

Easy

  1. -3 + 5
    Answer
    = 2
  2. 4 - 7
    Answer
    = −3
  3. -2 - 6
    Answer
    = −8
  4. -9 + 4
    Answer
    = −5
  5. 5 + (-8)
    Answer
    = −3
  6. -6 + 6
    Answer
    = 0
  7. 3 × -4
    Answer
    = −12
  8. -20 ÷ 5
    Answer
    = −4
  9. -7 × -2
    Answer
    = 14
  10. 18 ÷ -3
    Answer
    = −6

Medium

  1. 4 - (-2)
    Answer
    = 6
  2. -5 - (-9)
    Answer
    = 4
  3. -8 - (-3)
    Answer
    = −5
  4. -15 + (-5)
    Answer
    = −20
  5. -12 + 7 - 4
    Answer
    = −9
  6. -3 × 5 × -2
    Answer
    = 30
  7. -24 ÷ -6
    Answer
    = 4
  8. -2 × -3 × -1
    Answer
    = −6
  9. 6 - 10 + 3
    Answer
    = −1
  10. -9 ÷ 6
    Answer
    = −112

Harder

  1. -3 - 8 + (-2) - (-10)
    Answer
    = −3
  2. -6 × 3 ÷ -9
    Answer
    = 2
  3. -36 ÷ (-4) ÷ 3
    Answer
    = 3
  4. -1 - (-7) + (-11)
    Answer
    = −5
  5. -|-8| + 3
    Answer
    = −5