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3.08 Modelling division

Interactive practice questions

We can divide $68$68 by $4$4 by drawing $68$68 dots in $4$4 rows.

a

To work this out we can count groups of $4$4 until we reach $68$68.

But that could take a long time if we go $1$1 group of $4$4 at a time, so let's count up in larger groups.

If we first count $10$10 groups of $4$4, how many dots will we have used?

  $\editable{}$ dots
$4$4 rows
  $68$68 dots
b

How many dots are remaining when we take away the first $40$40?

$40$40 dots $\editable{}$ dots
$4$4 rows
$68$68 dots
c

How many columns of $4$4 dots will we have in the group of $28$28?

d

Here is the complete array.

$10$10 columns $7$7 columns
$40$40 dots $28$28 dots
$4$4 rows
Total: $68$68 dots

Using this, what is $68\div4$68÷​4?

Easy
2min

We can divide $60$60 by $5$5 by drawing $60$60 dots in $5$5 columns.

Easy
1min

Let's use an area model to find the answer to $45\div3$45÷​3.

Easy
1min

Let's use an area model to find the answer to $91\div7$91÷​7.

Easy
< 1min
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Outcomes

MA3-6NA

selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation

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