# Multiplication And Division 1

• Understanding Multiplication

## Topic Recap:

### Understanding multiplication as repeated addition / equal grouping

• We multiply by putting equal groups together. Equal groups contain the same number of objects.
• To multiply, we use repeated addition or multiplication to find the total number of objects.
For example:
$2 + 2 + 2 = 6$ or $2 \times 3 = 6$
• We can write a multiplication equation in the following way:

Example:

Question 1:

Look at the following picture.

A. There are __________ equal groups.

1. $4$
2. $2$
3. $8$

(1) $4$

B. Each group has __________ cupcakes.

1. $4$
2. $2$
3. $8$

(2) $2$

C. Which of the following best represents the picture above?

1. $2$ groups of $4$.
2. $2$ fours
3. $4$ groups of $2$.
4. $​4 + 4 ​$

(3) $4$ groups of $2$.

Question 2:

How many stars are there altogether?

1. $9$
2. $11$
3. $21$
4. $24$

Solution:

\begin{align}​​ 8 + 8 + 8 &= 24 \\[2ex] 3 \times 8 &= 24 \end{align}

(4) $24$

Question 3:

How many bananas are there altogether?

1. $9$
2. $16$
3. $20$
4. $25$

Solution:

\begin{align}​​ 5 + 5 + 5 + 5 = 20 \\[2ex] 4 \times 5 = 20 \end{align}

(3) $20$

Question 4:

Which of the following equations does not represent the following?

1. $5 + 5 + 5 + 5 + 5 + 5 = 30$
2. $6 \text{ fives} = 30$
3. $6 \times 5 = 30$
4. $5 \times 5 \times 5 \times 5 \times 5 \times 5 = 30$

(4) $5 \times 5 \times 5 \times 5 \times 5 \times 5 = 30$

## 1. Understanding Multiplication

To write a multiplication equation, we need to know the number of groups and the number of items in each group. We can then write the multiplication equation in the following way:

To find the total number of pencils in the picture given, we multiply

$10$ by $2$. This means that a group of $10$ is multiplied $2$ times.

$10 \times 2 = 20$

We can also multiply $2$ by $10$

$2 \times 10 = 20$

$10 \times 2$’ and ‘$2 \times 10$’ have the same values.

Question 1:

Look at the picture below.

A. Choose the correct option to represent the following statement:

Multiply $6$ by $3$

1. $6 + 3$
2. $6 × 3$

(2) $6 × 3$

B. How many sandwiches are there in the picture above?

1. $9$
2. $18$

Solution:

$6 × 3 = 18$

(2) $18$

Question 2:

Which of the multiplication equations represents the following?

Multiply $8$ by $4$.

1. $8 + 4 = 12$
2. $8 \times 4 = 32$

(2) $8 \times 4 = 32$

Question 3:

Which of the following sets of multiplication equations best represents the following?

1. $5 \times 7 = 35$ and $7 \times 5 = 35$
2. $5 \times 5 = 35$ and $7 \times 5 = 35$

Solution:

There are $7$ groups of $5$ buttons each.

(1) $5 \times 7 = 35$ and $7 \times 5 = 35$

Question 4:

How many stickers are there altogether?

1. $8$
2. $9$
3. $15$
4. $20$

Solution:

$5 × 3 = 15$ or $3 × 5 = 15$

(3) $15$

Question 5:

How many tigers are there altogether?

1. $7$
2. $9$
3. $12$
4. $16$

Solution:

$4 \times 3 = 12$

(3) $12$

Question 6:

How many doughnuts are there in all?

1. $12$
2. $18$
3. $27$
4. $36$

Solution:

$9 × 3 = 27$ or $3 × 9 = 27$

(3) $27$

Question 7:

Look at the picture below.

A. How many jars are there?

1. $3$
2. $4$
3. $5$

(2) $4$

B. Kelly puts 6 cookies in each jar. How many cookies are there altogether?

1. $10$
2. $16$
3. $18$
4. $24$

Solution:

$4 \times 6 = 24$ or $6 \times 4 = 24$

(4) $24$

Question 8:

There are $7$ mangoes in each basket. How many mangoes are there altogether?

1. $10$
2. $18$
3. $21$
4. $28$

Solution:

$7 × 3 = 21$ or $3 × 7 = 21$

(3) $21$

Question 9:

Ashley collected some bottles for recycling. She put $9$ bottles in each bag. How many recycled bottles did she collect in all?

1. $14$
2. $25$
3. $40$
4. $45$

Solution:

$5 × 9 = 45$ or $9 × 5 = 45$

(4) $45$

## Challenge Yourself!

Question 1:

What is the missing number in the given multiplication equation?

$5 \;\times$ __________ $= 30$

1. $5$
2. $6$
3. $7$
4. $8$

Solution:

There are $5$ groups with $6$ ribbons each.

$5 \times 6 = 30$

So, the missing number in the equation is $6$.

(2) $6$

Question 2:

What is the value of $\text{A}$?

$10 \times \text{A} = 40$

1. $8$
2. $10$
3. $3$
4. $4$

Solution:

There are $10$ turtles in each row. There are $4$ rows.

$10 \times 4 = 40$

So, the value of $\text{A}$ is $4$.

(4) $4$

• Multiplication is represented as ‘’$\times$'.
• When we multiply two numbers, say $6$ by $3$, it is written as $6 \times 3$.
• The values of $6 \times 3$ and $3 \times 6$ are the same.

Continue Learning
Numbers To 1000 Multiplication And Division 1
Multiplication And Division 2 Addition And Subtraction 1
Addition And Subtraction 2 Fractions 1
Length 1 Mass 1
Volume 1 Money 1
Time 1 Shapes And Patterns
Picture Graphs 1 Model Drawing 1
Model Drawing 4

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