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YEAR 2 · ADDITION AND SUBTRACTION · 12 MIN

Finding missing numbers

Find an unknown part or whole while keeping both sides of an equation equal.

In this lesson

Before you start
  • Know related addition and subtraction facts.
01 / LEARN

Understand the idea.

A box stands for a number

A box stands for a missing number, and the equals sign says both sides have the same value. In 9+□=14, nine is one part of fourteen. Count from nine to fourteen, or subtract, to find the other part.

Read the whole equation

Notice what the box represents before choosing a calculation. In □−7=12, it is the starting whole. Join the seven removed and the twelve left over. Then put your answer back into the original equation to test it.

02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

Missing added part

Find the missing number: 8 + □ = 17.

Worked solution

  1. 1

    Count from eight to ten.

    8+2=10

    The missing added part must cover the distance from eight to seventeen.

  2. 2

    Continue from ten to seventeen.

    10+7=17

    The remaining distance after the first jump is seven.

  3. 3

    Combine the jumps and check.

    2+7=9,8+9=17

    Nine fills the box because the two sides then have equal value.

Answer

9

EXAMPLE 02

Missing starting amount

Find the missing number: □ − 6 = 18.

Worked solution

  1. 1

    Identify the two parts of the missing whole.

    18+6=24

    The starting amount contains both the eighteen left and the six removed.

  2. 2

    Put twenty-four back into the equation.

    24−6=18

    Subtracting six leaves the required eighteen, so the box is twenty-four.

Answer

24

03 / YOUR TURN

Try it yourself.

Check your understanding

Find □ in 25 − □ = 20.

Show answer & reasoning

5

The missing number is the part removed from twenty-five. Since 25−20=5 and 25−5=20, five fills the box.

Keep practising

6 worksheet questions

Read the questions online
  1. Complete: 7+□=12.
  2. Complete: □+9=16.
  3. Complete: 18−□=10.
  4. Complete: □−5=22.
  5. Complete: 34+□=40.
  6. Maya chooses 13 for □+8=21. Show a check.
Read the worked solutions
  1. Complete: 7+□=12.

    12−7=5.

    5
  2. Complete: □+9=16.

    16−9=7.

    7
  3. Complete: 18−□=10.

    10+8=18.

    8
  4. Complete: □−5=22.

    22+5=27.

    27
  5. Complete: 34+□=40.

    Count on 6 from 34 to 40.

    6
  6. Maya chooses 13 for □+8=21. Show a check.

    Substitute the chosen number into the original equation.

    13+8=21, so 13 works.
Checking saved progress…
Curriculum reference & lesson scope

Australian Curriculum v9 and SA Curriculum Mathematics

Facts within 20; one-/two-digit calculations; partitioning; related facts; missing numbers; checking.

Official curriculum source ↗

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