Mathematics Number Representation & Place Valueusually ages 10–11

Place Value × 10 and ÷ 10

Recognise that in a multi-digit number, a digit in one place represents 10 times as much as in the place to its right and 1/10 of what it represents in the place to its left

How to tell they’ve got it

Tick these off as you see them — no test required.

Explain that the 4 in 0.04 is 1/10 of the 4 in 0.4
State that a digit moving one place left is ×10 and one place right is ÷10
Compare the value of the 6 in 6,000 and in 0.006

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Try this together

Can your child explain that in 4.56, the digit 5 is worth 5 tenths — ten times less than the 5 in 54, and ten times more than the 5 in 0.056?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on

Place Value × 10 Patternages 9–10×10 both directions extends Y5 ×10 relationship

Tenths (age 9+)ages 9–10Understanding 1/10 of requires familiarity with thousandths

Place Value × 10 and ÷ 10this skill · ages 10–11

Unlocks

Patterns with Powers of Tenages 10–11Exponent notation for powers of 10 builds on ×10 relationship

Addition and subtraction strategies (age 10+)ages 10–11Place-value understanding of ×10/÷10 supports decimal regrouping

Reading and writing numbers (age 10+)ages 10–11Place-value understanding supports decimal comparison reasoning

Reading and writing numbers to 10,000,000ages 10–11×10 relationship supports understanding of larger numbers

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

Show candidate curriculum codes · 3 ACARA · 2 NSW · 3 VIC

Australian Curriculum v9 candidate

AC9M4N01high confidenceYear 4 · Number

recognise and extend the application of place value to tenths and hundredths and use the conventions of decimal notation to name and represent decimals

AC9M4N05medium confidenceYear 4 · Number

solve problems involving multiplying or dividing natural numbers by multiples and powers of 10 without a calculator, using the multiplicative relationship between the place value of digits

AC9M5N01medium confidenceYear 5 · Number

interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line

NSW syllabus codes & stages only

MA2-RN-02high confidenceMathematics K-10 · Stage 2

MA2-RN-01high confidenceMathematics K-10 · Stage 2

Victorian Curriculum 2.0 codes & levels only

VC2M4N01medium confidenceMathematics · Level 4 · Number strand

VC2M5N01medium confidenceMathematics · Level 5 · Number strand

VC2M4N05medium confidenceMathematics · Level 4 · Number strand

These are candidate alignments generated by semantic matching — machine-suggested and unreviewed (v0.1), not official or verified mappings. For official curriculum content see australiancurriculum.edu.au, curriculum.nsw.edu.au and f10.vcaa.vic.edu.au. Don’t rely on them for registration or compliance purposes.

Nearby on the map

Decimal place valueages 10–11 Measuring temperatureages 10–11 Numbers to Ten Millionages 10–11 Patterns with Powers of Tenages 10–11

All Number Representation & Place Value skills →