AC9M5N07Year 5NumberPractised on site

AC9M5N07 — Year 5 Number

Official Curriculum Content Description:

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

Worked Examples (2)

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Example 1Short Division with Whole Numbers & Decimals

Calculate

918 \div 6

using a formal division method.

Common mistake: Omitting a zero in the tens place of the quotient or arithmetic error.

Correct Answer:

153

Worked Solution:

1. Set up short division: divide

918

6

digit by digit from left to right. 2. Short-division steps: Divide

9

6

: quotient

1

, remainder

3

(carry

3

to make

31

); Divide

31

6

: quotient

5

, remainder

1

(carry

1

to make

18

); Divide

18

6

: quotient

3

. 3. Final quotient:

918 \div 6 = 153

Example 2Division with Remainders

Find the quotient and remainder when

411

is divided by

7

. Write your answer as quotient, remainder (e.g. 21, 2).

Common mistake: Swapping the quotient and the remainder, or forgetting the remainder.

Correct Answer:58, 5

Worked Solution:

Dividing

411

7

gives a quotient of

58

and a remainder of

5

, because

58 \times 7 = 406

and

411 - 406 = 5

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