New
New
Year 3

Identify the minuend and subtrahend in column subtraction

I can identify the minuend and subtrahend in column subtraction.

New
New
Year 3

Identify the minuend and subtrahend in column subtraction

I can identify the minuend and subtrahend in column subtraction.

Lesson details

Key learning points

  1. The minuend is written first in a column subtraction.
  2. The subtrahend is written beneath the minuend.
  3. The difference is recorded underneath the minuend and subtrahend, with the same value digits in the same column.

Common misconception

Pupils may struggle when horizontal calculations do not present the minuend at the beginning of the equation (e.g. 23 = 44 - 21).

Discuss with pupils the minuend as the whole. It is the number being subtracted from. In a column subtraction, we always write the minuend first but it does not always appear first in horizontal calculations.

Keywords

  • Minuend - The minuend is the number being subtracted from.

  • Subtrahend - A subtrahend is a number subtracted from another.

  • Difference - The difference is the result after subtracting one number from another.

  • Column subtraction - Column subtraction is a way of subtracting numbers by writing a number below another.

If pupils are representing calculations using base ten blocks, ensure they only represent the minuend. The subtrahend is subtracted from this, not represented separately. Bar models are also essential in this session. Discuss the relative size of numbers so pupils complete these correctly.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Which number represents the whole in this bar model?
An image in a quiz
15
41
Correct answer: 51
501
Q2.
Subtract 20 from the number represented by the base ten blocks. What answer do you get?
An image in a quiz
Correct Answer: 31, thirty-one
Q3.
Which number represents the whole in this equation? 25 − 12 = 13
Correct answer: 25
12
13
Q4.
Which number represents the whole in this equation? 20 = 42 − 22
Correct Answer: 42, forty-two
Q5.
What is 87 − 40 =
Correct Answer: 47, forty-seven
Q6.
Match up the parts to the correct whole, using the bar model to help you.
An image in a quiz
Correct Answer:54 − 22 =,32

32

Correct Answer:54 − 32 = ,22

22

Correct Answer:32 + 22 =,54

54

6 Questions

Q1.
Which number in the bar model is the minuend?
An image in a quiz
Correct answer: 65
52
13
Q2.
Which number in this equation is the subtrahend? 47 − 34 = 13
Correct Answer: 34, thirty-four
Q3.
Which number in this column subtraction is the minuend?
An image in a quiz
Correct Answer: 68, sixty-eight
Q4.
What is the name of the part that is circled in the column subtraction?
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Minuend
Subtrahend
Correct answer: Difference
Q5.
Which equation exactly matches the column subtraction?
An image in a quiz
Correct answer: 37 − 15 = 22
37 = 15 + 22
37 − 22 = 15
22 + 15 = 22
Q6.
Which column subtraction shows the correct difference?
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz