Whole Numbers and Place Value — South Australian Year 3 Maths
Reading, writing, ordering and renaming whole numbers up to 100 000, plus estimating quantities by grouping and rounding. Five subtopics and 100 questions, aligned to AC9M3N01, AC9M3N03 and AC9M3N05.
Whole Numbers and Place Value in South Australian Year 3
Place value is the idea that a digit is worth a different amount depending on where it sits. This topic builds Year 3 understanding of large whole numbers: reading and writing them, ordering them, splitting them up in different ways and estimating how many.
The five subtopics below cover reading and representing numbers to 10 000 and then to 100 000, ordering and comparing numbers, partitioning and renaming numbers, and estimating quantities. Whole Numbers and Place Value is one of the 18 topics in South Australian Year 3 Maths and sits in the Number strand. It covers Australian Curriculum v9 codes AC9M3N01, AC9M3N03 and AC9M3N05. These skills lead straight into Addition and Subtraction, where partitioning and renaming make the written methods work, and into Money and Length and Perimeter.
Subtopics
Whole Numbers and Place Value: common questions
How do you explain place value to a Year 3 child?
Use base ten blocks or bundles of straws: 10 ones make a ten, 10 tens make a hundred and 10 hundreds make a thousand. Then show the number on a place value chart. For 6352, the 6 is worth 6000, the 3 is worth 300, the 5 is worth 50 and the 2 is worth 2, so \(6352 = 6000 + 300 + 50 + 2\).
Why does zero matter in a number like 4062?
Zero is a placeholder. It shows that a place is empty and keeps the other digits in the right columns. Without it, 4062 would become 462, a much smaller number. A common mistake is writing four thousand and sixty-two as 40062; a place value chart with four columns helps.
How do you compare two large numbers?
Start at the largest place and move right until the digits differ. To compare 7148 and 7184, the thousands and hundreds match, but 8 tens is more than 4 tens, so \(7184 > 7148\). Children often look at the last digits first, or think a number is bigger because it has bigger digits.
How can we practise place value at home?
Read big numbers aloud from car odometers, crowd figures at the footy or prices in catalogues. Make a number with digit cards, then ask for the largest and smallest numbers the same cards can make. Estimating first and then counting, for example pegs in a tub, builds a good sense of size.
Which curriculum codes cover Whole Numbers and Place Value in South Australian Year 3?
The subtopics come under Australian Curriculum v9 codes AC9M3N01 (reading, writing and ordering numbers past 10 000), AC9M3N03 (adding and subtracting by splitting and regrouping numbers by place value) and AC9M3N05 (estimating amounts and checking that answers make sense).