NCERT Solutions for Class 6 Maths Chapter 11 Exercise 11.1
NCERT Solutions for Class 6 Maths Chapter 11 Exercise 11.1 (Ex. 11.1) Algebra in Hindi and English Medium free to download or use online for academic session 2021-22. Videos related to each exercises are also given to assist the students.Download PDF solutions or videos, everything is free of cost for all students. Class 6 math exercise 11.1 contains many questions based on tricks of matchsticks. Other questions are also interesting to solve that is why students enjoy doing this exercise.
Class 6 Maths Chapter 11 Exercise 11.1 Solution
CBSE NCERT Class 6 Maths Chapter 11 Exercise 11.1 Solution in Hindi and English Medium
|Exercise: 11.1||Hindi and English Medium Solutions|
Class 6 Maths Chapter 11 Exercise 11.1 Solution in Videos
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
Beginning of Algebra
It is said that algebra as a branch of mathematics began about 1550 BC, i.e., more than 3500 years ago, when people in Egypt started using symbols to denote unknown numbers.
Suppose that the cost of a pencil is Rs 2.
Then the cost of, 2 pencils is Rs (2 × 2) = Rs 4
3 pencils is Rs (3 × 2) = Rs 6
4 pencils is Rs (4 × 2) = Rs 8
x pencils is Rs (x × 2) = Rs 2x.
Note that as 2, 4, 6, 8,…are numbers; so is 2x.
Similarly, if a person earns Rs 120 per day, then his earning for
4 days is Rs (4 × 120) = Rs 480
6 days is Rs (6 × 120) = Rs 720
10 days is Rs (10 × 120) = Rs 1200
n days is Rs (n × 120) = Rs 120n.
Again like 480, 720, 1200;120n is also a number.
The numbers like x and n are called literal numbers.
The letters which are used to represent numbers are called literal numbers or simply literals.
From now onwards unless, otherwise stated instead of saying: “x represents a number”, we shall say; “x is a number”.
Similarly, for “y represents a number” we shall say; “y is a number and so on.
Literal numbers are also known as placeholders for the numerals. Thus, we can speak of a line segment of length l cm, where l represents a number. If the line segment is 4 cm long, we say l = 4. If it is 12 cm long, we say l = 12.
Let the number of units in the length and the breadth of a rectangle be denoted by the letters l and b. If we wish to find the perimeter p, which is the number of units in the sum of the lengths of the four sides, then, p = l + b + l + b = 2 (l + b).
Here, the letters p, l and b are symbols which hold places for numbers.
Class 6 Maths Exercise 11.1 Important Questions
Who uses algebra in everyday life?
Every time you need to problem solve a situation that involves money, time, distance, perimeter of a fence or skate ramp, volume of something, comparing prices when you shop, rent something – cost versus time, other situations you are using algebra.
What are the basics of algebra?
Basic of Algebra: Basics of Algebra cover the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0. This introduces an important algebraic concept known as equations.
What is the main purpose of algebra?
The purpose of Algebra is to make it easy to state a mathematical relationship and its equation by using letters of the alphabet or other symbols to represent entities as a form of shorthand. Algebra then allows you to substitute values in order to solve the equations for the unknown quantities.