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6.03 Sharing

Lesson

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Can you use an  array to write a multiplication number sentence  ?

Examples

Example 1

Select the array that shows the following statement:\quad 3 \text{ times } 7

A
An array with 7 columns and 3 rows.
B
An array with 8 columns and 3 rows.
C
An array with 7 columns and 4 rows.
D
An array with 8 columns and 4 rows.
Worked Solution
Create a strategy

3 times 7 can also be thought of as 3 groups of 7.

Apply the idea

The option that shows 3 times 7 is option A because it has 3 rows of 7.

An array with 7 columns and 3 rows.
Idea summary

We get the same answer whichever way we look at our array.

An image showing an array with 2 columns and 4 rows. Ask your teacher for more infromation.

Sharing

Let's see how we can use an array to help solve division problems.

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Examples

Example 2

We need to equally share these apples between 4 people. How many does each person get?

An array of apples with 3 columns and 4 rows.
Worked Solution
Create a strategy

Share the apples into 4 groups.

Apply the idea

Each group of apples is for 1 person.

An array of apples with 3 columns and 4 rows. Each row of 3 apples are inside a rectangle.

We have 4 groups with 3 apples in each group. So each person will get 3 apples.

Idea summary

When we write a division number sentence, we always start with the total amount that we are going to equally share into groups.

\text{Total amount} \div \text{Number of groups}

Outcomes

MA2-6NA

uses mental and informal written strategies for multiplication and division

MA2-8NA

generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values

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