AC9M4N01 • Year 4 Maths
Recognise and extend place value to tenths and hundredths and use decimal notation to name and represent decimals.
The decimal point separates whole-number places from fractional places. One tenth is one of 10 equal parts of a whole, one hundredth is one of 100 equal parts, and 10 hundredths equal 1 tenth.
Learning routine: Build the whole → Partition into tenths → Partition into hundredths → Write decimal → Rename → Compare
3.47 = 3 ones + 4 tenths + 7 hundredths
Read 3.47 as three and forty-seven hundredths, or three ones, four tenths and seven hundredths. The 4 is worth 0.4, not 4.
Adding a zero at the end of the decimal part does not change the value: 0.6 = 0.60. Use place value rather than digit count to compare decimals.
Six tenths can be split into sixty hundredths, so 0.6 = 0.60. A zero inside a numeral can matter: 0.06 is six hundredths, one tenth of 0.6.
Exchange rule: 1 whole = 10 tenths = 100 hundredths; 1 tenth = 10 hundredths. One bundle of 10 equal straws can stand for a whole. Each straw is a tenth; splitting one straw into ten equal pieces makes hundredths.
Quick check: 14 tenths = 1.4 because ten of the tenths make one whole.
One metre is 100 centimetres, so 7 cm is 0.07 m. A length of 2 m and 35 cm is 2.35 m, read “two point three five metres”. Keep the zero when reading 2.05 m: “two point zero five metres”.
Count each denomination before combining it. The three 20c coins make 60c; adding 5c makes 65 hundredths of the next dollar.
Compare the readings: $2.75 is “two dollars and seventy-five cents”; 2.75 m is “two point seven five metres”. In both, 7 means seven tenths and 5 means five hundredths of the named unit. Money uses cents; a measurement keeps its measurement unit.
Content description: recognise and extend the application of place value to tenths and hundredths and use the conventions of decimal notation to name and represent decimals.
Shade 36 hundredths on a 10 × 10 grid, then write it as a fraction, decimal and place-value statement.
36/100 = 0.36
Use counters or cards to exchange 10 hundredths for 1 tenth and explain why 0.30 and 0.3 are equal.
Use place value to compare 0.8, 0.08, 0.80 and 0.18. From least to greatest: 0.08, 0.18, then 0.8 = 0.80. Eight tenths is eighty hundredths; it is not smaller just because it has fewer decimal digits.
Use play money: two $20 notes, one $10 note, three $2 coins, one 50c coin and one 5c coin. Count the total and write it in dollars and cents.
Expected answer: $56.55. The notes make $50, the dollar coins make $6 and the cent coins make 55c. Say “fifty-six dollars and fifty-five cents”. Then read 56.55 m as “fifty-six point five five metres”. The digit values agree but the units differ.
Core idea: The decimal point separates whole-number places from fractional places. One tenth is one of 10 equal parts of a whole, one hundredth is one of 100 equal parts, and 10 hundredths equal 1 tenth.
Teach with the Topic Guide and Classroom View, then use the worksheet, Practice and Test.
Support: define one whole and build tenths with a ten-part bar. Core: name and represent decimals to hundredths using a place-value chart, measures and money. Extend: rename 1.34 as 134 hundredths or 12 tenths and 14 hundredths, explaining each exchange. Thousandths and decimal multiplication algorithms are not required here.
Open Classroom View and expand one section at a time to project the models and worked examples.
Open Classroom View| Australia | Australian Curriculum v9.0 | AC9M4N01 |
| Victoria | Victorian Curriculum F–10 | Year 4 Number: decimal place value. |
| NSW | NSW Curriculum | Stage 2 Mathematics: place value and decimals. |
| England / UK | National Curriculum | Year 4 fractions and decimals. |
The SkillrHub lesson remains the primary learning resource. This optional video reinforces the explanation; you can complete the lesson and practice without watching.
Before you watch:
Math Antics — See how tenths and hundredths extend the place-value system.
As you watch: How does one tenth compare with one hundredth?
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Try it: Draw a hundred-square and shade 0.34. Explain what each digit represents.
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Mapped skill: recognise and extend the application of place value to tenths and hundredths and use the conventions of decimal notation to name and represent decimals
These references identify matching or closely related learning. Curriculum sequence, terminology and depth vary, so teachers should use the mapped skill and lesson difficulty to confirm suitability.
| Region | Curriculum framework | Closest level or code |
|---|---|---|
| Australia | Australian Curriculum v9.0 | AC9M4N01 · Year 4 |
| Victoria | Victorian Curriculum F–10 Version 2.0 — Mathematics | VC2M4N01 · Level 4 |
| New South Wales | NSW Mathematics K–10 Syllabus (2022) | MA2-RN-02 · Stage 2 |
| United States (USA) | Common Core State Standards for Mathematics | Grade 4 |
| Canada (Ontario) | Ontario Curriculum — Mathematics | Grade 4 |
| United Kingdom (England) | National Curriculum in England — Mathematics | Year 5, Key Stage 2 |
| India | NCERT / CBSE — Mathematics | Class 4 |
Australian Curriculum v9.0 is the canonical source for this SkillrHub lesson. Victoria and NSW entries name the closest published state codes or outcomes; international entries are planning references rather than claims of identical curricula.
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Topic reference: AC9M4N01 — AC9M4N01: Tenths, hundredths and decimal notation
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