This learning concept will introduce the students to halves in numbers. Also, the students will get to know about the quarters of numbers.

In this learning concept, students will learn to

- Identify halves and quarters of numbers
- Classify two halves of objects and geometrical shapes and quarters of objects and geometrical shapes.
- Identify three-quarters of objects and geometrical shapes

The learning concept is explained to class 3 students with examples, illustrations, and a concept map. At the end of the page, two printable worksheets for class 3 with solutions are attached for the students.

Download the worksheets of lines and solutions to assess our knowledge of the concept.

**Halves in Numbers**

- If a number is divided into two equal parts, then each part is called the half of the number.
- To find half of any number, divide the number by 2.
- Only even numbers could be divided into equal halves.

**Example:**

Find the half of 8.

**Answer:**

Half of 8 = 8 `÷`

2 = 4

**Halves In Large Numbers**

For the large numbers like 84, 98, 128, … etc., we can find halves in different ways.

- First split the number into their tens, ones, or hundreds.
- Divide the numbers respectively at tens place, hundreds place, and ones place by 2.
- Now add the numbers.

**Example:**

Find the half of

a)84 b)128

**Answer:**

a) 84 = 80 + 4

80 `÷`

2 = 40

4 `÷`

2 = 2

40 + 2 = 42

b) 128 = 100 + 20 + 8

100 `÷`

2 = 50

20 `÷`

2 = 10

8 `÷`

2 = 4

50 + 10 + 4 = 64

**Halves on Number Line**

The distance between 0 -1 on a number line is always considered as a whole. Dividing this distance into two equal parts will give you two equal halves.

**Quarters in Numbers**

- If a number is divided into four equal parts, then each part is called the quarter of the number.
- To find a quarter of any number, divide the number by 4.
- Only even numbers can be divided into four equal parts.

**Example:**

Find the quarter of 12.

**Answer:**

Quarter of 12 = 12 `÷`

4 = 3

**Three-Quarters of a Number:**

- If number is divided into four equal parts, then three parts together make three-quarters of the number.
- To find three-quarters of any number, divide the number by 4 and then multiply the resultant with 3.
- Only even numbers can be divided into three-quarters.

**Example:**

Find the three-quarters of 12.

**Answer:**

A quarter of 12 = 12 `÷`

4 = 3

Three-quarters of 12 = 3 × 3 = 9

**Real-life Problems**

Here, the real-life problems are discussed with examples.

**1)** Ranjan bought a cake of 1 kg for his birthday. He cut the cake into quarters to divide among his four friends. What is the weight of each quarter? What is the weight of three-quarters?

**Answer:**

1 kg = 1000 g

If the cake is divided into quarters, then the weight of each quarter is

1000 g `÷`

4 = 250 g

So, the weight of each quarter is 250 g.

The weight of three-quarters of the cake is

3 × 250 g = 750 g

Hence, the weight of three-quarters of the cake is 750 g.

**2)** Sita and Gita bought one metre cloth together, and divided the cloths into halves. How much cloth each one gets?

**Answer:**

1 metre = 100 cm

100 cm `÷`

2 = 50 cm

Hence, each one will get 50 cm of the cloth.

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