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.
Learning goals
- 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 whole numbers where the results are terminating decimals.
- We are learning to multiply and divide decimals by powers of 10.
- 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 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.
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
MA3-7NA
old
Compares, orders and calculates with fractions, decimals and percentages
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-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
VCMNA216
Multiply and divide decimals by powers of 10
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
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.