 Halves and Quarters in Numbers - Orchids The International School
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Halves and Quarters in Numbers

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.

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

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.

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.

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?

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?

1 metre = 100 cm

100 cm `÷` 2 = 50 cm

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