How to Teach Children Carrying Addition Well
A child may happily solve 23 + 14, then pause completely at 28 + 17. The challenge is not that the numbers suddenly became too large. It is that the child needs to understand what happens when the ones make a group of ten. To teach children carrying addition successfully, start with this idea: carrying is not a trick to memorise. It is an exchange.
When children see that 10 ones can become 1 ten, addition becomes more logical, less frightening and far easier to check. With patient practice, visual tools and small daily wins, they can build both accuracy and the confidence to work with larger numbers.
What Carrying Addition Really Means
Adults often say, “Carry the one,” because it is quick. For a beginner, though, that phrase can be confusing. Where did the 1 come from? Why does it sit above the tens column? Why is it sometimes forgotten?
A clearer term is regrouping. In 28 + 17, the child first adds the ones: 8 + 7 = 15. Fifteen ones cannot remain only in the ones place. They can be regrouped as 1 ten and 5 ones. The 5 stays in the ones column, while the new ten is added to the tens column.
This is place value in action. A digit does not have one fixed value. In 28, the 2 means two tens, or 20, while the 8 means eight ones. Children who understand this are less likely to make the common mistake of writing 15 under the ones column or treating the carried 1 as just another random mark.
For younger learners, it helps to use both phrases at first: “We regroup 10 ones into 1 ten. That is the one we carry to the tens place.” As their understanding grows, the language becomes natural.
Build Number Sense Before the Written Method
A worksheet can reveal whether a child has memorised a procedure. Hands-on work reveals whether they understand it. Before expecting a child to add vertically, let them make tens in ways they can see and touch.
Use counters, linking cubes, craft sticks bundled in groups of 10, or coins. Give your child eight counters, then add seven more. Ask, “Can we make a group of 10?” Let them physically move 10 counters into a cup or tie 10 sticks into a bundle. What remains? One group of 10 and five single counters.
An abacus is especially useful because it makes quantity, grouping and movement visible. Children can represent 28, add 7 ones, and see that a full group in the ones place must be exchanged for a ten. The movement gives meaning to the written carrying step, while also preparing children for mental imagery later on.
Do not rush this stage because the child can recite answers. A child who can explain, “I had 15 ones, so I made one ten and had five ones left,” has a foundation that will support subtraction, multiplication and problem sums as well.
Start with Sums that Cross One Ten
Choose examples where only the ones column requires regrouping, such as 16 + 8, 27 + 6 or 34 + 9. Horizontal equations are a gentle starting point because they keep attention on the quantity rather than the layout.
Invite children to break apart the second number. For 27 + 6, they may notice that 27 needs 3 more to make 30, leaving 3. So the answer is 33. This “make a ten” strategy strengthens mental arithmetic and helps children see that carrying is simply another way of recording the same thinking.
Once this feels comfortable, move to two two-digit numbers, such as 26 + 18. Keep the numbers manageable enough that the child can focus on regrouping rather than becoming overwhelmed by basic facts.
A Simple Way to Teach Carrying Addition on Paper
When your child is ready for the column method, use graph paper or draw clear vertical columns. The spacing matters. Many errors happen because numbers drift into the wrong place value.
Write 26 + 18 with the ones aligned under ones and tens aligned under tens. Then guide the child through the same sequence each time:
Add the ones first: 6 + 8 equals 14.
Write the 4 in the ones column.
Explain that 14 ones contain 1 ten and 4 ones.
Write the regrouped 1 above the tens column.
Add the tens: 2 + 1 + 1 equals 4.
Read the answer as 44, or four tens and four ones.
Say the values aloud, not only the digits. “Two tens plus one ten plus one more ten equals four tens.” This short narration helps children connect what they write to what the numbers mean.
At first, children may benefit from circling the carried digit or writing it in a different colour. That is fine as a temporary support. The goal is accuracy and understanding, not making the page look like an adult’s worksheet. As confidence grows, return to one pencil colour and encourage neat, consistent placement.
Use Mistakes as Useful Clues
A wrong answer is often more informative than a correct one. If a child writes 314 for 28 + 17, they may have written the entire 15 in the ones area. Go back to the question, “Can 15 be only ones?” Then use objects or a quick drawing of tens and ones to show why the 1 must move.
If the child calculates 28 + 17 as 35, they may have forgotten the regrouped ten. Rather than saying, “You forgot to carry,” ask them to check the tens: “How many tens do we have now?” This directs attention to the missing value instead of turning the error into a personal failure.
Some children understand the idea but lose track of steps when working quickly. In that case, slower practice is more valuable than more questions. Encourage them to point to each column, say the steps softly and check that every digit is included once. Speed should grow from reliable habits, never from pressure.
Make Practice Short, Playful and Progressive
Ten focused minutes can achieve more than a long, tiring drill. Begin with two or three warm-up facts that make 10, such as 6 + 4 or 8 + 2. Then work through a small set of carrying addition questions. Finish with one question the child is likely to solve independently, so practice ends with success.
Games also create the repetition children need without making maths feel heavy. Roll two dice and add the totals, using a ten-frame when the total passes 10. Make number cards and challenge your child to create two two-digit numbers that require regrouping. During errands, ask practical questions: “We have 18 apples and buy 7 more. How many apples do we have?”
For children who enjoy a challenge, ask for two methods. They might solve 38 + 26 using columns, then explain mentally: 38 + 20 is 58, and 58 + 6 is 64. Comparing methods develops flexibility, which is a key part of strong mathematical thinking.
At Mentalmatics, children build this flexibility through structured practice that moves from physical abacus work to mental calculation. The aim is not simply to get an answer quickly. It is to help each child visualise numbers, apply sound strategies and feel capable when a new challenge appears.
Know When to Move Forward
Your child is ready for larger addition problems when they can align numbers by place value, regroup without prompting, explain where the carried ten came from and check a reasonable answer. They do not need to be perfect every time. They do need to understand how to recover when they make a mistake.
Three-digit addition should follow the same pattern, but introduce it gradually. Start with a problem that requires regrouping once, then try questions with regrouping in more than one column. Avoid jumping too quickly to sums such as 198 + 267, where repeated regrouping can overload a child who is still learning the core idea.
The most encouraging moment is not when your child completes a page of sums. It is when they look at 47 + 36, recognise that 7 and 6 make 13 and calmly say, “That gives me one more ten.” That small sentence shows that addition is beginning to make sense, and that confidence is ready to grow.
How Mentalmatics Can Help
At Mentalmatics, carrying addition is never reduced to a trick to memorise. Through structured abacus training using the two-hand, four-finger method, children physically experience regrouping – watching ones exchange into tens on the bead frame – before the written method is ever introduced. This concrete foundation makes place value intuitive rather than abstract. As bead work becomes confident, children transition naturally to mental arithmetic, carrying this understanding inward. The result is a child who does not simply carry the one, but knows exactly why.
To find out more, talk to us or register for a trial class using the link below!
Comments