Learning Map

Patterns with Powers of Ten

Explain patterns in zeros when multiplying by powers of 10 and in decimal-point placement when multiplying/dividing by a power of 10; use whole-number exponents to denote powers of 10 (e.g. 10³ = 1000)

How to tell they’ve got it

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Try this together

Can your child explain why 10² = 100 and 10³ = 1,000, and why multiplying by 10 just adds a zero — connecting the pattern of zeros to place value?

Where this sits on the map

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Builds on
Multiplying and dividingages 9–10Patterns in zeros when ×÷ by powers of 10 builds on fluent ×÷ by 10/100/1000
Place Value × 10 and ÷ 10ages 10–11Exponent notation for powers of 10 builds on ×10 relationship
Patterns with Powers of Tenthis skill · ages 10–11
Unlocks
Nothing on the map depends on this yet.

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

AC9M4N05high 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

AC9M6N06medium confidenceYear 6 · Number

multiply and divide decimals by multiples of powers of 10 without a calculator, applying knowledge of place value and proficiency with multiplication facts; using estimation and rounding to check the reasonableness of answers

AC9M4N01medium 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

NSW syllabus codes & stages only

MA2-MR-01low confidenceMathematics K-10 · Stage 2
MA2-RN-01low confidenceMathematics K-10 · Stage 2

Victorian Curriculum 2.0 codes & levels only

VC2M4N05high confidenceMathematics · Level 4 · Number strand
VC2M4A02medium confidenceMathematics · Level 4 · Algebra strand
VC2M6N06medium confidenceMathematics · Level 6 · 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

All Number Representation & Place Value skills →