Why place value trips up so many South African students — and how to fix it
Those "silly mistakes" with big numbers, decimals and column sums often point to one hidden gap at the foundation.
Your child can count to a thousand and recite their times tables. But ask them how many tens are in 3 452, or why you "carry the one" in a column sum, and the confidence disappears. Maybe they write "four hundred and six" as 4006.
These look like small, careless slips. They usually aren't. They are often signs of a shaky grasp of place value, and very few topics in the CAPS curriculum do more damage when they are left unfixed.
What place value is, and why it matters so much
Place value is the idea that a digit's value depends on where it sits in a number. The 5 in 52 is worth fifty; the 5 in 520 is worth five hundred. Almost every other maths skill depends on it.
In CAPS, place value is introduced in the Foundation Phase (Grades 1–3), where learners group objects into tens and ones and work with numbers up to 1 000. In the Intermediate Phase (Grades 4–6), the number range grows into the hundreds of thousands and beyond. Decimal place value, meaning tenths, hundredths and thousandths, arrives in Grades 5 and 6.
The trouble is that place value is rarely tested as a topic in its own right after the early grades. It hides inside other topics. A child can get by on memorised procedures for a while, until those procedures stop working.
Where place value gaps usually show up
- Column addition and subtraction. Children "carry" and "borrow" by rote without knowing they are exchanging ten ones for a ten. Once numbers get bigger or include zeros (like 4 003 − 1 567), mistakes pile up.
- Long multiplication and division. Forgetting the placeholder zero in the second row of a long multiplication is a classic place value error.
- Reading and writing large numbers. Writing "two thousand and fifty" as 20050.
- Decimals. Believing 0,25 is bigger than 0,3 "because 25 is bigger than 3" is one of the most common misconceptions in Grades 5–8.
- Multiplying and dividing by 10, 100 and 1 000. "Just add a zero" works for whole numbers but falls apart for decimals: 2,5 × 10 is not 2,50.
Why so many learners slip through
South African classrooms are often large, and teachers are under pressure to get through the CAPS content each term. Place value is best learnt hands-on, with bundling sticks, base-ten blocks and plenty of talk about why. That kind of teaching takes time many classrooms don't have.
Language plays a part too. Number words in English, Afrikaans and African languages are built differently, and a child learning maths in their second or third language may be translating as well as calculating.
Finally, many children learn procedures that give correct answers without real understanding, so everything looks fine until the numbers get harder.
How to help your child at home
- Talk about numbers in parts. When you see a number, such as a price, a house number or a distance on a road sign, ask: "What is the 7 worth here?" Breaking 3 452 into 3 000 + 400 + 50 + 2 (called expanded notation) builds the understanding that column methods depend on.
- Use money. Rands and cents are a natural place value model. R1 = 100c, and R10 = ten R1 coins. Asking why R2,50 and R2,5 are the same connects decimals to something real.
- Ask "why", not just "what". When your child carries a 1, ask what that 1 is worth. If they can explain that it's a ten (or a hundred), the method is anchored. If they can't, you've found the gap.
- Go back to where the gap started. If your Grade 6 child is struggling with decimals, more Grade 6 decimal worksheets may not help. The fix is often a short spell of Grade 3 or Grade 4 place value practice.
This is where Equals2 is useful. The app covers CAPS maths from Grade 1 to Grade 12 and tracks how your child performs on each topic, so place value gaps show up clearly rather than being hidden under "struggles with decimals" or "careless with sums." Your child can then go back one or more grades or terms to rebuild the foundation, and the app keeps serving targeted practice on those weak areas until they're secure.
The bottom line
Place value is easy to overlook because it seems so basic. But when a child keeps making "silly mistakes" with big numbers, decimals or column methods, the cause is often not carelessness. Something at the foundation is missing. Place value gaps respond well to focused practice, and fixing them tends to lift performance across all of maths.
A child who truly understands place value doesn't just get sums right — they understand why the method works.
If you suspect place value is holding your child back, start with a quick check of the basics and practise from there.