Examples on Simplification
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}] [Removing the innermost bracket ( )]
= 37 - [5 + 16] [Removing braces { }]
= 37 - 21
= 16.
2. Simplify: 78 - [24 - {16 (5 - 4 - 1)}]
Solution:
78 - [24 - {16 - (5 – 4 - 1)}]
= 78 - [24 - {16 - (5 - 3)}] [Removing vinculum]
= 78 -[24 - {16 - 2}] [Removing parentheses]
= 78 - [24 – 14] [Removing braces]
= 78 - 10
= 68.
3. Simplify: 197 - [1/9{42 + (56 - 8 + 9)} +108]
Solution:
197 - [1/9 {42 + (56 - 8 + 9)} +108]
= 197 – [1/9 {42 + (56 – 17)} + 108] [Removing vinculum]
= 197 - [1/9 {42 + 39} + 108] [Removing parentheses]
= 197 - [(81/9) + 108] [Removing braces]
= 197 - [9 + 108]
= 197 - 117
= 80
4. Simplify: 39 – [23 – {29 – (17 – 9 – 3)}]
Solution:
39 - [23 - {29 – (17 – 9 – 3)}]
= 39 - [23 - {29 - (17 - 6)} ] [Removing vinculum]
= 39 - [23 - {29 - 11}] [Removing parentheses]
= 39 - [23—18] [Removing braces]
= 39 – 5
= 34
5. Simplify:
(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 [Performing division 0 ÷ 69 = 01]
= 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)] [Performing division]
= 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
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Multiplying 3-Digit Number by 1-Digit Number | Three-Digit Multiplicat
Jan 15, 25 01:54 PM
Here we will learn multiplying 3-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. 1. Multiply 201 by 3 Step I: Arrange the numb… -
Worksheet on Basic Multiplication Facts | Repeated Addition Fact
Jan 15, 25 12:40 PM
Practice some known facts given in the worksheet on basic multiplication facts. The questions are based on the multiplication fact and repeated addition fact. 1. Write the multiplication fact for each -
Worksheet on Facts about Multiplication | Multiplication Sum | Answers
Jan 15, 25 01:24 AM
Practice the worksheet on facts about multiplication. We know in multiplication, the number being multiplied is called the multiplicand and the number by which it is being multiplied is called the mul… -
Facts about Multiplication | Multiplicand | Multiplier | Product
Jan 15, 25 01:03 AM
We have learnt multiplication of numbers with 2digit multiplier. Now, we will learn more. Let us know some facts about multiplication. 1. In multiplication, the number being multiplied is called the m… -
Basic Multiplication Facts | Repeated Addition |Multiplication Process
Jan 15, 25 12:23 AM
Some basic multiplication facts are needed to follow for multiplying numbers. The repeated addition of the same number is expressed by multiplication in short.
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.