Rules of Divisibility
These Rules of Divisibility were requested by our member, Emma, and include all the rules for dividing by numbers 2 through to 10.
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Learning goals
- We are learning to solve problems involving division using different strategies and express answers as a whole number, decimal or fraction.
- We are learning to solve problems involving division by a one digit number, including those that result in remainders.
- We are learning to multiply and divide decimals by multiples of powers of 10 using our knowledge of place value and multiplication facts (times tables), to estimate and check answers.
- We are learning to multiply and divide decimals by whole numbers where the results are terminating decimals.
- We are learning to multiply and divide decimals by powers of 10.
Curriculum alignment
AC9M6N06
9
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
AC9M5N07
9
Solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction
ACMNA130
8.4
Multiply and divide decimals by powers of 10
ACMNA129
8.4
Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies
ACMNA101
8.4
Solve problems involving division by a one digit number, including those that result in a remainder
MA3-1WM
old
Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
MA3-2WM
old
Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations
MA3-3WM
old
Gives a valid reason for supporting one possible solution over another
MA3-6NA
old
Selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
MA3-7NA
old
Compares, orders and calculates with fractions, decimals and percentages
MA3-RQF-02
new
Determines 1/2, 1/4, 1/5 and 1/10 of measures and quantities
MA3-RQF-01
new
Compares and orders fractions with denominators of 2, 3, 4, 5, 6, 8 and 10
MA3-MR-02
new
Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
MA3-MR-01
new
Selects and applies appropriate strategies to solve multiplication and division problems
MA3-RN-03
new
Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values
MA3-RN-02
new
Compares and orders decimals up to 3 decimal places
MA3-RN-01
new
Applies an understanding of place value and the role of zero to represent the properties of numbers
VCMNA215
Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies
VCMNA216
Multiply and divide decimals by powers of 10
VCMNA184
Solve problems involving division by a one digit number, including those that result in a remainder
Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.