Examples on simplification are discussed, in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. Different types of questions on simplifications are explained here step by step.

**1. Simplify: 37 - [5 + {28 - (19 - 7)}] Solution: **

37 - [5 + {28 - (19 - 7)}]

= 37 - [5 + {28 - 12}]

= 37 - [5 + 16]

= 37 - 21

= 16.

**2. Simplify: 78 - [24 - {16 (5 - 4 - 1)}]
Solution: **

78 - [24 - {16 - (5 – 4 - 1)}]

= 78 - [24 - {16 - (5 - 3)}]

= 78 -[24 - {16 - 2}]

= 78 - [24 – 14]

= 78 - 10

= 68.

Solution:

197 - [1/9 {42 + (56 - 8 + 9)} +108]

= 197 – [1/9 {42 + (56 – 17)} + 108]

= 197 - [1/9 {42 + 39} + 108]

= 197 - [(81/9) + 108]

= 197 - [9 + 108]

= 197 - 117

= 80

Solution:

39 - [23 - {29 – (17 – 9 – 3)}]

= 39 - [23 - {29 - (17 - 6)} ]

= 39 - [23 - {29 - 11}]

= 39 - [23—18]

= 39 – 5

= 34

(i) 15 - (-5) {4 - 7 - 3} ÷ [3{5 + (-3) x (-6)}]

Solution:

15 - (-5) {4 - 7 - 3} ÷ [3{5 + (-3) x (-6)}]

= 15 - (-5) {4 - 4} ÷ [3 {5 + 18}]

= 15 - (-5) x 0 ÷ 3 x 23

= 15 - (-5) x 0 ÷ 69

= 15 - (-5) x 0

= 15

** (ii) 95 - [144 ÷ (12 x 12) - (-4) - {3 – 17 - 10}]
Solution: **

95 - [144 ÷ (12 x 12) - (-4) - {3 - 17 - 10}]

= 95 - [144 ÷ (12 x 12) - (-4) - {3 -7}]

= 95 - [144 ÷ 144 - (-4) - {3-7)]

= 95 - [1 - (-4) - (-4)]

= 95 - [1 + 4 + 4]

= 95 - 9

= 86

Students can practice these examples on simplification which are discussed here step by step and then proceed to the worksheet for more practice.

● Numbers - Integers

**Properties of Multiplication of Integers**

**Examples on Multiplication of Integers**

**Properties of Division of Integers**

**Examples on Division of Integers**

**Examples on Fundamental Operations**

● Numbers - Worksheets

**Worksheet on Multiplication of Integers**

**Worksheet on Division of Integers**

**Worksheet on Fundamental Operation**

**7th Grade Math Problems****From Examples on Simplification to HOME PAGE**

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