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Place Value in Years 2 to 4: How to Help Your Child at Home
Place value underpins almost everything else in primary maths. Here is what Years 2 to 4 are expected to know, and simple ways to support it at home.
Read the guideKey points
Place value means the position of a digit determines its value: in 342 the 3 stands for 300 [4].
By Year 2 children are expected to partition and rename numbers to 1,000; by Year 3, to work beyond 10,000; by Year 4, to extend place value to tenths and hundredths [1][2][3].
Australian research finds a wide spread of place value understanding within single year levels, so a child who seems behind is not unusual [5].
The most useful help at home is asking what each digit is worth and splitting numbers in more than one way, in short regular sessions.
Place value is the quietest topic in primary maths and one of the most consequential. It rarely appears on a report as a heading of its own. Yet almost every later topic leans on it: written addition and subtraction, multiplying by ten, decimals, money, rounding and estimation. This guide explains what the Australian Curriculum expects in Years 2, 3 and 4, where children commonly come unstuck, and what helps at home.
What is place value?
Place value is the convention that a digit's position tells you its value. In the number 342, the 3 is worth 300, the 4 is worth 40 and the 2 is worth 2. Each place is worth ten times the place immediately to its right.
That relationship is what allows ten digits to write any number at all, and it is the part children most often miss. As one analysis in the Australian Primary Mathematics Classroom journal put it, children frequently focus on digits in isolation rather than recognising that "the place of a digit in a number indicates its value" [4].
Partitioning is built on top of it: splitting a number into parts. Most children learn the standard split first, so 342 becomes 300 + 40 + 2. The curriculum also asks for non-standard splits, so 342 might become 200 + 140 + 2, or 340 + 2. That flexibility is what makes written subtraction with regrouping make sense later.
What does the curriculum expect in Years 2 to 4?
Year 2. Children recognise, represent and order numbers to at least 1,000, and partition, rearrange, regroup and rename two- and three-digit numbers using both standard and non-standard groupings. They are also expected to recognise the role of a zero digit in place value notation [1].
Year 3. Children recognise, represent and order natural numbers using the naming and writing conventions for numerals beyond 10,000, and add and subtract two- and three-digit numbers by using place value to partition, rearrange and regroup, without a calculator [2].
Year 4. Place value extends past the decimal point. Children extend place value to tenths and hundredths using decimal notation, and multiply or divide natural numbers by multiples and powers of ten using the multiplicative relationship between the place value of digits [3].
Year 4 is where the groundwork pays off or does not. A child who understands that each place is ten times the one beside it can see why multiplying by ten shifts the digits, and why 0.7 is seven tenths. A child who has only memorised hundreds, tens and ones has nothing to attach decimals to. For a wider picture of what each year expects, see our guide to is my child on track (/learn/is-my-child-on-track).
Why does place value underpin so much later maths?
Three reasons.
First, written methods depend on it. Carrying and regrouping in column addition and subtraction are place value operations. A child who cannot rename 342 as 300 + 40 + 2 and also as 200 + 140 + 2 is reproducing a procedure without understanding it, which is why it tends to fail under pressure.
Second, multiplying and dividing by ten, one hundred and one thousand are pure place value. The Year 4 curriculum states this directly, describing the multiplicative relationship between the place value of digits [3].
Third, decimals, money and measurement extend the same system to the right of the decimal point. If the ten-times relationship is secure, tenths and hundredths are a continuation rather than a new topic. Our guide to helping with fractions at home (/learn/help-your-child-with-fractions-at-home) covers related ground.
What do children commonly misunderstand?
A few patterns recur in the research and in classrooms.
Counting the parts instead of reading the unit. Given base-ten blocks, some children count the individual segments in a ten-rod rather than treating it as one ten [4].
Treating digits as separate numbers. A child may read 342 correctly but, asked what the 4 is worth, answer "four" rather than "forty" [4].
Losing the zero. Asked to write three hundred and seven, a child who has not grasped zero as a placeholder may write 37.
It is also worth knowing how varied a single classroom is. A study of 606 Australian students in Years 3 to 6 at two Melbourne primary schools found that most year levels contained three or four different developmental stages of place value understanding at once [5]. A child who has not fully arrived is in ordinary company.
How can parents help at home?
None of this requires you to teach anything.
Ask what each digit is worth. Point at a number on a receipt or a scoreboard and ask what the 7 is worth in 472. Correcting "seven" to "seventy" takes a second.
Ask for a second way to split it. Once your child can say 342 is 300 and 40 and 2, ask for another way. Accepting 200 + 140 + 2 builds the flexibility the curriculum asks for [1].
Read big numbers aloud. Distances on road signs and stadium crowds are free practice at reading numerals beyond 10,000, the Year 3 expectation [2].
Use money and shopping. The Mathematics Hub, run by Education Services Australia and funded by the Australian Government Department of Education, advises families that "travelling, shopping, cooking and making are all great times to talk about numbers, measurements, shapes", and suggests reminding children it is not about doing things fast [6].
Keep sessions short. A few minutes several times a week beats a long weekend session, as our guide to short daily practice (/learn/short-daily-practice-spaced-retrieval-research) explains.
Use written practice for the drill. Our free maths worksheets (/worksheets/maths) include topic sets for place value (/worksheets/maths/topic/place-value), number properties (/worksheets/maths/topic/number-properties) and, for Year 4 onwards, decimals and percentages (/worksheets/maths/topic/decimals-and-percentages).
If your child's teacher has raised a concern, it is reasonable to ask directly whether place value is secure, and what the school recommends practising.
How Noooli can help
Noooli provides short daily maths practice, about ten minutes a day, for children from Kindergarten to Year 6, aligned to the Australian Curriculum. Parents can see how their child is progressing. Free printable maths worksheets with answer keys are available at /worksheets/maths, with no sign-up required.
References
1. Queensland Curriculum and Assessment Authority, "Year 2 Mathematics: Australian Curriculum Version 9.0", 2023. https://www.qcaa.qld.edu.au/downloads/aciqv9/mathematics/curriculum/ac9_maths_yr2_as_cd_alignment.pdf
2. Queensland Curriculum and Assessment Authority, "Year 3 Mathematics: Australian Curriculum Version 9.0", 2023. https://www.qcaa.qld.edu.au/downloads/aciqv9/mathematics/curriculum/ac9_maths_yr3_as_cd_alignment.pdf
3. Queensland Curriculum and Assessment Authority, "Year 4 Mathematics: Australian Curriculum Version 9.0", 2023. https://www.qcaa.qld.edu.au/downloads/aciqv9/mathematics/curriculum/ac9_maths_yr4_as_cd_alignment.pdf
4. Harnett, J., "Teaching Place-Value: Concept Development, Big Ideas and Activities", Australian Primary Mathematics Classroom, 23(3), 2018. https://files.eric.ed.gov/fulltext/EJ1231242.pdf
5. Rogers, A., "Rethinking the Number Magnitude-Based Progression: An Analysis of Place Value Development in Years 3-6", Proceedings of the 45th annual conference of the Mathematics Education Research Group of Australasia, 2023. https://files.eric.ed.gov/fulltext/ED631611.pdf
6. Education Services Australia, "Mathematics Hub: Families", Australian Government Department of Education. https://www.mathematicshub.edu.au/families/
Common questions
What is place value?
Place value is the idea that the position of a digit in a number determines its value. In 342 the digit 3 stands for 300, not 3. Each place to the left is worth ten times the place to its right, which is what allows a small set of digits to write any number.
What should my child know about place value by the end of Year 3?
By the end of Year 3, children are expected to order and represent natural numbers beyond 10,000, and to partition, rearrange and regroup two- and three-digit numbers in different ways to help with calculations such as addition and subtraction.
How can I help with place value at home without being good at maths?
Ask your child to read large numbers aloud, say what each digit is worth, and split numbers in more than one way. Short sessions of a few minutes several times a week are more useful than long ones, and you do not need to teach anything new.
