Adding up to four digits

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

About this subtopic

The idea in brief. Each place adds quantities of the same size; ten in one place become one in the next place. Line up the places and include each carried value. In the lesson. In Primary 2, you added in columns and renamed ten ones as one ten. Ten hundreds make one thousand. Today, we add numbers up to ten thousand in columns, from the ones to the thousands. Line up the places, start with the ones, and rename ten of a place as one of the next place.

Lesson video, with the working

Adding up to four digits

5 min 31 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

On Saturday, 2648 people visited a science centre. On Sunday, 3725 people visited it. How many people visited on the two days altogether?

  1. total = 2648 + 3725 = 6373

Ans: 6373

Example 1 of 2

A school library has 4352 storybooks and 1834 science books. How many books does it have altogether?

  1. total = 4352 + 1834 = 6186

Ans: 6186

Example 2 of 2

A bakery sold 6458 buns in May and 729 buns in June. How many buns did it sell in the two months?

  1. total = 6458 + 729 = 7187

Ans: 7187

How to solve it
  1. Decide what to find. A total of two amounts means add the two numbers.
  2. Write one number below the other, with ones under ones, tens under tens, and so on.
  3. Start with the ones and add each column in turn, ending with the thousands.
  4. If a column makes 10 or more, rename 10 of that place as 1 of the next place, and write the 1 on top.
  5. Add the 1 on top when you reach the next column.
  6. Make sure a shorter number starts from the ones place: the 7 in 729 goes under the hundreds of 6458, and the total is 7187.

Line up the places, start with the ones, and rename ten of a place as one of the next place.

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 tryFind the sum of 2134 and 342.Find the sum of 2134 and 342.

Find the sum of 2134 and 342.

Show the working and the answer

Video solution · 1 min 17 s

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Working

  1. sum = 2134 + 342 = 2476

Answer: 2476

For parents

How do P3 children solve adding 4-digit numbers questions with renaming?

This page teaches the column method for adding numbers up to 4 digits, the MOE Primary 3 outcome on addition algorithms.

What your child learns here

This page teaches the column method for adding numbers up to 4 digits, the MOE Primary 3 outcome on addition algorithms. It extends the renaming children met with tens and ones to hundreds and thousands, and applies it to total word problems.

  • Set out an addition in columns, with ones under ones, tens under tens, hundreds under hundreds and thousands under thousands.
  • Add from the ones to the thousands, renaming 10 ones as 1 ten, 10 tens as 1 hundred and 10 hundreds as 1 thousand.
  • Add a 3-digit number to a 4-digit number without shifting the shorter number to the left.
  • Use addition in word problems that ask for a total, and notice when a problem gives the total and asks for a part instead.
Does the answer make sense?

When the question asks for a sum, your child can check that it is bigger than each number being added, and that its thousands digit is at least the thousands digits added together. When a whole number is missing from an addition instead, it must be smaller than the total it helps to make.

How to practise these questions

The Basic questions practise lining up the places and adding column by column. The Intermediate questions add regrouping, where a column makes 10 or more and carries into the next place. In the Challenge questions, your child finds a missing number from the total of three numbers, or from two sums that have the same value. When an addition stalls, play the solution film for that question and try it again later from Revision.

Questions parents ask

Is 4-digit addition in the Primary 3 syllabus? Yes. The MOE Primary 3 syllabus lists addition and subtraction algorithms with numbers up to 4 digits, under Addition and Subtraction. This page covers the addition half.

Is renaming the same as carrying or regrouping? Yes, they all describe the same step: 10 of one place become 1 of the next place. The MOE syllabus and this page say renaming, but you may hear carrying or regrouping elsewhere.

Should my child add from the left or the right? In column addition, start from the ones on the right and move left, so any renaming passes on to the next place. Adding from the left is handy for a rough estimate, but the written method on this page starts with the ones.