Adding and subtracting mentally

Primary 3 Addition and Subtraction Within 10 000 study guide: the whole chapter, step by step

About this subtopic

The idea in brief. Split a number into useful parts, or use a convenient number and undo the extra change. If you add or subtract extra to make a convenient number, undo that extra change. In the lesson. In Primary 2, you added and subtracted tens mentally. Today, we add and subtract mentally by using an easy number close by. Use an easy number close by, then undo the extra.

Lesson video, with the working

Adding and subtracting mentally

3 min 44 s

The film teaches 3 questions in turn. Each question shows first; its working is written as the film explains it.

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Today's question

Work out 58 + 29 mentally by using 30.

  1. 30 − 29 = 1
  2. 58 + 30 = 88
  3. 88 − 1 = 87
  4. 58 + 29 = 87

Ans: 87

Example 1 of 2

Work out 84 − 39 mentally by using 40.

  1. 40 − 39 = 1
  2. 84 − 40 = 44
  3. 44 + 1 = 45
  4. 84 − 39 = 45

Ans: 45

Example 2 of 2

Work out 67 + 48 mentally by using 50.

  1. 50 − 48 = 2
  2. 67 + 50 = 117
  3. 117 − 2 = 115
  4. 67 + 48 = 115

Ans: 115

How to solve it
  1. Choose an easy number close by. For 29 use 30, because 30 is easy to add.
  2. Work out how far apart they are: 30 minus 29 is 1.
  3. Add the easy number instead: 58 plus 30 is 88.
  4. That adds 1 too many, so undo the extra: 88 minus 1 is 87.
  5. When you subtract, use the same idea the other way: 84 minus 40 is 44, then add 1 back to make 45.

Use an easy number close by, then undo the extra.

Practice questions with worked solutions

Question 1 is free to try. The other 6 open in the free trial, each with its solution film.

Basic

Intermediate

Challenge

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6 more questions, each with its solution film.Answers checked, progress kept, wrong ones come back in revision. No card needed.

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Question 1 of 7 · Basic · free to tryAdd the tens and then the ones to work out 44 + 23.Add the tens and then the ones…

Add the tens and then the ones to work out 44 + 23.

Show the working and the answer

Video solution · 59 s

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Working

  1. after adding tens = 44 + 20 = 64
  2. sum = 64 + 3 = 67

Answer: 67

For parents

How do P3 children solve mental addition and subtraction questions?

This page teaches mental addition and subtraction of two 2-digit numbers, the MOE Primary 3 outcome on mental calculation.

What your child learns here

This page teaches mental addition and subtraction of two 2-digit numbers, the MOE Primary 3 outcome on mental calculation. The main strategy is to use an easy number close by, such as 40 for 39, and then adjust.

  • Add or subtract a 2-digit number in parts, tens first and then ones: 63 plus 25 is 63 plus 20, then plus 5, which is 88.
  • Use a nearby tens number to make the work easier: 46 plus 29 is 46 plus 30, minus 1, which is 75.
  • Know which way to adjust: after adding too much, subtract the extra; after subtracting too much, add it back.
  • Choose between splitting and using a nearby number, depending on the numbers in the question.
  • Explain the steps in words, so someone else can follow and check the method.
Does the answer make sense?

Two 2-digit numbers added together give less than 200, and subtracting one from another gives less than the first number. Your child can also glance at the ones digits: 9 plus 6 must end in 5, so 59 plus 36 has to end in 5.

How to practise these questions

The Basic questions practise splitting numbers into tens and ones to add or subtract in the head. The Intermediate questions add crossing a ten, where the ones part needs adjusting. The Challenge questions call for a quicker route, such as rounding to a near ten and then adjusting the answer. When a mental sum is stuck, play its solution film together, then have another go later from Revision.

Questions parents ask

What mental calculation is in the Primary 3 syllabus? The MOE Primary 3 syllabus lists mental calculation involving addition and subtraction of two 2-digit numbers. This page covers that outcome, including sums that go past 100.

Is it fine if my child uses a different mental method? Yes, as long as each step is correct and your child can explain it. This page teaches splitting into tens and ones and using an easy number close by; some children prefer one, some the other.

Should mental sums be written down? The working stays in the head, but writing the answer and, at first, one line on how it was found lets you see the method. Once the method is steady, that line can go.