## What is a fact family?

A fact family can be defined as a group of math facts created using the same set of numbers.

The fact family has relationships between the three numbers involved.

12, 4 and 3 are the fact family. Where 4 and 3 are parts, while 12 is the whole.

Multiplication and Division Fact Family

### Parts of division:

## 4.1.1 Multiplication facts in division

Robert mother arranged cups in shelves. She arranged 18 cups in 3 rows. How many cups did she arrange in each row?

This array can be shown as the relationship between multiplication and division.

**Solution:**

**Multiplication:**

3 rows of 6 cups.

3 x 6 = 18 cups.

**Division:**

18 cups in 3 equal rows.

18 ÷ 3 = 6.

Robert mother arranged 6 cups in each row.

A fact family shows how multiplication and division are related.

Fact family for 3, 6 and 18:

6 cups are arranged in each row.

**Example2:**

Richard arranged 12 apples in 3 rows on the table. How many apples did he arrange in each row?

**Solution:**

Multiplication:

3 rows of 4 apples.

3 x 4 = 12 apples.

**Division:**

12 apples in 3 equal rows.

12 ÷ 3 = 4.

4 apples in each row.

A fact family shows how multiplication and division are related.

Fact family for 3, 4 and 12:

4 apples are arranged in each row.

### 4.1.2 Divisor, quotient, dividend

### Dividend:

The dividend is the number of objects to be divided.

### Divisor:

The divisor is the number by which another number is divided.

### Quotient:

The quotient is the answer to a division problem.

**Example2:**

Ria collected the bird’s images and she arranged them on the chart. There are 32 bird’s images arranged in 4 rows. How many birds did she arrange in each row?

Find 32 ÷ 4?

**Solution:**

**Division:**

32 birds in 4 equal rows.

8 bird’s images arranged in each row.

**Dividend = 32**

**Divisor = 4**

**Quotient = 8.**

**Example3:**

Mercy packed some cookies for her friend. She arranged 25 cookies in 5 rows. How many cookies did she arrange in each row?

Find 25 ÷ 5?

**Solution:**

**Division:**

25 cookies in 5 equal rows.

5 cookies are arranged in each row.

**Dividend = 25**

**Divisor = 5**

**Quotient = 5.**

## Exercise:

- Write the fact family for 3, 4 and 12.
- Write the fact family for 8, 10 and 80.
- Use the relationship between the multiplication and the division to complete each equation:
- 2 x _____ =12.

12 ÷ 2 = _______. - 3 x _____ =21

21÷ 3 = ______.

- 2 x _____ =12.
- Use the relationship between multiplication and division to complete each equation:
- 2 x 9 = 18.

18 ÷ 2 = _____. - 3 x 8 = 24.

24 ÷ 3 =______.

- 2 x 9 = 18.
- Identify the dividend, divisor, quotient and remainder.

6. Susan is selling raffle tickets for 3 dollars. She collects a total of 40 dollars. Find the total number of tickets she sell?

7. 56 people have been invited to a banquet. The caterer is arranging tables. Each table has 8 people. How many tables are needed?

8. 60 passengers are on the bus. If there are 6 rows of seats on the bus, how many seats are there in each row?

9. Do division and complete the answers in empty spaces.

10. A piece of rope is 81 m long. How many 9 m long pieces can I cut from it?

### Concept map:

**What have we learned:**

- Understand fact family.
- Understand how to use multiplication facts in division.
- Understand how to do division.
- Understand divisor, quotient, dividend.
- Identify divisor, quotient, dividend in the division problem.

#### Related topics

#### Addition and Multiplication Using Counters & Bar-Diagrams

Introduction: We can find the solution to the word problem by solving it. Here, in this topic, we can use 3 methods to find the solution. 1. Add using counters 2. Use factors to get the product 3. Write equations to find the unknown. Addition Equation: 8+8+8 =? Multiplication equation: 3×8=? Example 1: Andrew has […]

Read More >>#### Dilation: Definitions, Characteristics, and Similarities

Understanding Dilation A dilation is a transformation that produces an image that is of the same shape and different sizes. Dilation that creates a larger image is called enlargement. Describing Dilation Dilation of Scale Factor 2 The following figure undergoes a dilation with a scale factor of 2 giving an image A’ (2, 4), B’ […]

Read More >>#### How to Write and Interpret Numerical Expressions?

Write numerical expressions What is the Meaning of Numerical Expression? A numerical expression is a combination of numbers and integers using basic operations such as addition, subtraction, multiplication, or division. The word PEMDAS stands for: P → Parentheses E → Exponents M → Multiplication D → Division A → Addition S → Subtraction Some examples […]

Read More >>#### System of Linear Inequalities and Equations

Introduction: Systems of Linear Inequalities: A system of linear inequalities is a set of two or more linear inequalities in the same variables. The following example illustrates this, y < x + 2…………..Inequality 1 y ≥ 2x − 1…………Inequality 2 Solution of a System of Linear Inequalities: A solution of a system of linear inequalities […]

Read More >>
Comments: