# Cl-5 (Math) | Ch-4 | Simplification

• Class 4

## Learning Objective

On successful completion of this lesson, students will be able to:

• demonstrate basic knowledge of simplification, types of brackets.
• analyze the rule of BODMAS.
• develop problem-solving skills.
• apply in real life.

## Dictionary

• Number: 1, 2, 3 etc.
• Simplification: Making Easier
• Simplify: To make simple
• Bracket: Grouping
• >: Greater than
• <: Lesser than
• =: Equal to
• Ascending: Increasing
• Descending: Decreasing
• Order: Sequence

### 4.1 Introduction

=> Numerical Expression: It is a combination of numbers connected by one or more of the symbols /, x, , + and Of.

e.g:

1. 8/2 x 3 + 5
2. 5 x 6 + 7
3. 10/5 x 5 + 10 – 20

=> When we simplify the Numerical Expression , we obtained a value of the expression.

e.g1. Solve 12 / 2 + 2.

Sol. 12 / 2 + 2=6+2= 8.

Therefore , 8 is the value of the expression 12/2+2.

=> When we find the value of the expression , we do some operations is called Simplification of the expression.

=> Simplification: The process of making something easier or simpler to understand.

=> In order to get a unique value of a given Numerical Expression , we have to perform the operations strictly in a definite order given below:

• Division (D)
• Multiplication (M)
• Subtraction (S)

i.e DMAS.

=> Don’t change the order of these operations.

=> Remember the word DMAS.

#### Solved Examples

Ex1. Simplify 40 – 10 / 5 x 2 + 5.

Sol. We have:

40 – 10 / 5 x 2 + 5 = 40 – 2 x 2 + 5

= 40 – 4 + 5

= 45 – 4

= 41 ans.

### 4.2 Use of Brackets

=> Brackets: Grouping symbols

=> Brackets are used to separate various parts of an expression.

### 4.3 Types of Brackets

=> 4 types of brackets:

• Bar or Vinculum ———-
• Round bracket or Small brackets ( )
• Curly bracket or Braces { }
• Square bracket or Big bracket [ ]

### 4.4 Order of Operations

• Bar or Vinculum ———-
• Round bracket or Small brackets ( )
• Curly bracket or Braces { }
• Square bracket or Big bracket [ ]

=> When we simplify an expression , the terms in the brackets are taken as independent units.

=> Brackets terms are solved separately.

=> Remember the word BODMAS.

=> BODMAS stands for ” Brackets , Of, Division , Multiplication , Addition & Subtraction respectively.

=> We take Multiplication Sign when there is no sign before a bracket.

#### Solved Examples

Ex1. Simplify 6 – [20 / { 8 – 2 ( 9 – 5 – 2)}]

Sol. We have:

6 – [20 / { 8 – 2 ( 9 – 5 – 2)}]

= 6 – [20 / { 8 – 2 ( 2)}]

= 6 – [20 / { 8 – 2 x 2}]

= 6 – [20 / { 8 – 4}]

= 6 – [20 / 4]

= 6 – 5

= 11 ans.

Sol. We have:

6 – [20 / { 8 – 2 ( 9 – 5 – 2)}]

= 6 – [20 / { 8 – 2 ( 9 – 3)}]

= 6 – [20 / { 8 – 2 x 6}]

= 6 – [20 / { 8 – 12}]

= 6 – [20 / -4]

= 6 – [-5]

= 6+5

= 11 ans.

### 4.5 Practice Sets

1. Fill Type
2. Match Type
3. Order Type
4. Conversion Type
5. Compare Type
6. Error Type
7. Statement Type
8. True/False Type
9. Related Type
10. Day-to-Day Type
11. Miscellaneous Type

#### Set-1

1. Simply

2. Tick (✔️) the correct answer.

3. Which of the following are meaningless?

4. Compare and put symbol >, < or =in the placeholder.

5. Fill in the blanks.

6. Cross (x) the Roman numerals which are not written correctly.

7. Write the following Roman numerals in ascending order.

8. Write the following Roman numerals in descending order.

9. Solve & write the answer in Roman numerals.

10. Complete the following table.

11. State whether each of the following statements is true or false.

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

#### Set-2

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

#### Set-3

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

#### Set-4

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

#### Set-5

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

### 4.6 Quiz

0%
3
Created on

Cl-5 (Math) | Ch-4 | Simplification : Set 1

1 / 10

100 / 10 + 10 x 10 = ......

2 / 10

3 / 1 x 3 - 9 = ....

3 / 10

100 x 10 - 100 + 2000 / 100 = ...

4 / 10

5751 x { 45 - ( 90 / 2)} = ...

5 / 10

49 / 7 x 7 + 5 x 3 - 2 = ...

6 / 10

8 x 8 - 8 = .......

7 / 10

63 / 9 + 12 x 4 - 5 =.....

8 / 10

0 x 10 + 2 - 1

9 / 10

Which of the following operations is performed first in simplifying a numerical expression?

10 / 10

Which of the following types of brackets is simplified first?

The average score is 10%

0%

Thank you!

### 4.8 Exam

The exam will be conducted after the completion of the course.