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M-NUM-004-WS01 · Foundation & Higher

Add and subtract integers

Worked answers · 34 questions

Student worksheet (PDF)All worked solutions (PDF)

Retrieval

  1. R01Calculate 9 − 4.

    M-NUM-004-WS01-R01

    Answer
    5
    Worked steps
    1. Count back 4 from 9.

  2. R02Order −3, 4, −7, 0 from smallest to largest.

    M-NUM-004-WS01-R02

    Answer
    −7, −3, 0, 4
    Worked steps
    1. Numbers further left on a number line are smaller.

  3. R03Write the integer one less than −2.

    M-NUM-004-WS01-R03

    Answer
    −3
    Worked steps
    1. Move one step left from −2.

  4. R04Find the difference between −2 and 3.

    M-NUM-004-WS01-R04

    Answer
    5
    Worked steps
    1. Count from −2 up to 3: five steps.

Fluency

  1. F01−2 + 6

    M-NUM-004-WS01-F01

    Answer
    4
    Worked steps
    1. Start at −2. Move 6 steps right.
    2. The result is 4.

  2. F02−5 + 9

    M-NUM-004-WS01-F02

    Answer
    4
    Worked steps
    1. Start at −5. Move 9 steps right.
    2. The result is 4.

  3. F03−7 + 3

    M-NUM-004-WS01-F03

    Answer
    −4
    Worked steps
    1. Start at −7. Move 3 steps right.
    2. The result is -4.

  4. F044 − 7

    M-NUM-004-WS01-F04

    Answer
    −3
    Worked steps
    1. Start at 4. Move 7 steps left.
    2. The result is -3.

  5. F052 − 8

    M-NUM-004-WS01-F05

    Answer
    −6
    Worked steps
    1. Start at 2. Move 8 steps left.
    2. The result is -6.

  6. F06−3 − 4

    M-NUM-004-WS01-F06

    Answer
    −7
    Worked steps
    1. Start at −3. Move 4 steps left.
    2. The result is -7.

  7. F076 + (−2)

    M-NUM-004-WS01-F07

    Answer
    4
    Worked steps
    1. Start at 6. Move 2 steps left.
    2. The result is 4.

  8. F083 + (−8)

    M-NUM-004-WS01-F08

    Answer
    −5
    Worked steps
    1. Start at 3. Move 8 steps left.
    2. The result is -5.

  9. F09−4 + (−3)

    M-NUM-004-WS01-F09

    Answer
    −7
    Worked steps
    1. Start at −4. Move 3 steps left.
    2. The result is -7.

  10. F102 − (−5)

    M-NUM-004-WS01-F10

    Answer
    7
    Worked steps
    1. Start at 2. Move 5 steps right.
    2. The result is 7.

  11. F11−6 − (−4)

    M-NUM-004-WS01-F11

    Answer
    −2
    Worked steps
    1. Start at −6. Move 4 steps right.
    2. The result is -2.

  12. F12−3 − (−8)

    M-NUM-004-WS01-F12

    Answer
    5
    Worked steps
    1. Start at −3. Move 8 steps right.
    2. The result is 5.

Develop

  1. D01Calculate −5 + 8 − 6.

    M-NUM-004-WS01-D01

    Answer
    −3
    Worked steps
    1. −5 + 8 = 3.
    2. 3 − 6 = −3.

  2. D02Calculate 7 − (−2) + (−5).

    M-NUM-004-WS01-D02

    Answer
    4
    Worked steps
    1. 7 − (−2) = 7 + 2 = 9.
    2. 9 + (−5) = 9 − 5 = 4.

  3. D03Fill the gap: −4 + □ = 3.

    M-NUM-004-WS01-D03

    Answer
    7
    Worked steps
    1. The change from −4 to 3 is 7 steps right.

  4. D04A student says −3 − (−5) = −8. Explain the error and correct the calculation.

    M-NUM-004-WS01-D04

    Answer
    2
    Worked steps
    1. Subtracting a negative is equivalent to adding a positive.
    2. −3 − (−5) = −3 + 5 = 2.

Apply

  1. A01The temperature is −4°C. It rises by 9°C, then falls by 3°C. Find the final temperature.

    M-NUM-004-WS01-A01

    Answer
    2°C
    Worked steps
    1. −4 + 9 = 5.
    2. 5 − 3 = 2, so the final temperature is 2°C.

  2. A02An account balance is −£12. A payment of £20 goes into the account, then £15 is spent. Find the new balance.

    M-NUM-004-WS01-A02

    Answer
    −£7
    Worked steps
    1. −12 + 20 = 8.
    2. 8 − 15 = −7, so the balance is −£7.

Independent practice

Shadow practice

  1. H01−4 + 7

    M-NUM-004-WS01-H01

    Answer
    3
    Worked steps
    1. Start at −4. Move 7 steps right.
    2. The result is 3.

  2. H02−6 + 10

    M-NUM-004-WS01-H02

    Answer
    4
    Worked steps
    1. Start at −6. Move 10 steps right.
    2. The result is 4.

  3. H03−8 + 5

    M-NUM-004-WS01-H03

    Answer
    −3
    Worked steps
    1. Start at −8. Move 5 steps right.
    2. The result is -3.

  4. H045 − 9

    M-NUM-004-WS01-H04

    Answer
    −4
    Worked steps
    1. Start at 5. Move 9 steps left.
    2. The result is -4.

  5. H053 − 10

    M-NUM-004-WS01-H05

    Answer
    −7
    Worked steps
    1. Start at 3. Move 10 steps left.
    2. The result is -7.

  6. H06−2 − 6

    M-NUM-004-WS01-H06

    Answer
    −8
    Worked steps
    1. Start at −2. Move 6 steps left.
    2. The result is -8.

  7. H077 + (−4)

    M-NUM-004-WS01-H07

    Answer
    3
    Worked steps
    1. Start at 7. Move 4 steps left.
    2. The result is 3.

  8. H082 + (−9)

    M-NUM-004-WS01-H08

    Answer
    −7
    Worked steps
    1. Start at 2. Move 9 steps left.
    2. The result is -7.

  9. H09−7 − (−3)

    M-NUM-004-WS01-H09

    Answer
    −4
    Worked steps
    1. Start at −7. Move 3 steps right.
    2. The result is -4.

  10. H10−5 − (−9)

    M-NUM-004-WS01-H10

    Answer
    4
    Worked steps
    1. Start at −5. Move 9 steps right.
    2. The result is 4.

Applied practice

  1. H11The temperature is −6°C at dawn. It rises by 11°C and then falls by 8°C. Find the final temperature.

    M-NUM-004-WS01-H11

    Answer
    −3°C
    Worked steps
    1. −6 + 11 = 5.
    2. 5 − 8 = −3, so the final temperature is −3°C.

  2. H12A bank balance is −£18. A deposit of £25 is made, then £12 is spent. How much must be added to bring the balance back to £0?

    M-NUM-004-WS01-H12

    Answer
    £5
    Worked steps
    1. −18 + 25 − 12 = −5.
    2. The balance is −£5, so add £5 to reach £0.