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RIC-0563 Developing algebraic thinking

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DIVISIBILITY RULES<br />

Teachers notes<br />

Divisibility<br />

rules 15<br />

Divisibility rules 15<br />

has all 3-digit numbers. Here is a list of possible<br />

steps to solve this task.<br />

• For 9 6 to be divisible by 4 and 9, the only choice of a digit in the<br />

tens place is 3.<br />

• For 7 to be divisible by 2 and 5, the only choice of a digit in the<br />

ones place is 0.<br />

• For 9 to be divisible by 3 and 5, the only choice of a digit in the<br />

ones place is 5.<br />

• For 64 to be divisible by 3 and 4, the only choice of a digit in the<br />

ones place is 8.<br />

• For 0 to be divisible by 2 and 9, the only choice of a digit in the<br />

ones place is 2, and therefore, a 7 in the hundreds place.<br />

• Now, for 3 to be divisible by 2 and 3, the only choice of a digit in<br />

the ones place is 6, and therefore, the tens digit is 9.<br />

• For 9 , the tens digit is 1 or 4, and for 7 , the hundreds digit<br />

is 4 or 1.<br />

R.I.C. Publications ® www.ricgroup.com.au DEVELOPING ALGEBRAIC THINKING 49<br />

ISBN 978-1-74126-088-5

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