Introduction to variable in math:
In mathematics, the term “variable” is used in algebra. Variable is nothing but the letter which represents the some numerical value. For example consider the algebraic expression 4x. Here 4 is the constant and x is the variable.
Discuss:
(a) Consider x + y = 10.
The variable x and y are variables and they has some numerical values that makes the above statement true.
Examples:
1. P = 4s 2. x + 5 = 10
Here
4, 5, 10 are constants.
P, s, x are variables.
Note:
The numbers are constants.
To denote variable in math we use the alphabets A to Z or a to z.
Let us see some example problems.
Variable in math - Example problems:
1. Pick out the constants in the following:
8, a, x, y, – 25, 0, z, 35, 2.7,
Solution:
The constants are 8, – 25, 0, 35, 2.7 and
2. Pick out the variables in the following:
63, x, 27, m, p, q, 10, 0, y
Solution:
The variables are x, m, p, q and y
2. Pick out the variables and constants: A, – 15, q, l, 22.3, 73
Solution:
The variables are A, q and l
The constants are – 15, 22.3 and 73.
Practice problems:
1) Pick out the variables in the following:
6, c, – 12, h, k, 16, m, n, – 22, p, s, 30
2) Write any five variables:
Power of the variable in math:
In math, the product of 18 and a is 18 × a and it is written as 18a .Similarly the product of two literals a and b is a × b = ab
Now let us see how the repeated product of a literal with itself is written in math.
Multiply a with a. We get a × a and is denoted by a2.
We read a2 as a to the power of 2. Similarly d × d × d = d3, which is read as m to the
Power of 3
In a2, 2 is the power and a is the base.
In d3, 3 is the power and d is the base.
Example problems using the variables:
a + 5 = 10. Find the value of a.
Solution:
To find the value of a, we have to move the like terms in one side
For that, subtract 5 on both sides
a + 5 – 5 = 10 – 5
Simplify,
a + 0 = 5
a = 5.
In mathematics, the term “variable” is used in algebra. Variable is nothing but the letter which represents the some numerical value. For example consider the algebraic expression 4x. Here 4 is the constant and x is the variable.
Discuss:
(a) Consider x + y = 10.
The variable x and y are variables and they has some numerical values that makes the above statement true.
Examples:
1. P = 4s 2. x + 5 = 10
Here
4, 5, 10 are constants.
P, s, x are variables.
Note:
The numbers are constants.
To denote variable in math we use the alphabets A to Z or a to z.
Let us see some example problems.
Variable in math - Example problems:
1. Pick out the constants in the following:
8, a, x, y, – 25, 0, z, 35, 2.7,
Solution:
The constants are 8, – 25, 0, 35, 2.7 and
2. Pick out the variables in the following:
63, x, 27, m, p, q, 10, 0, y
Solution:
The variables are x, m, p, q and y
2. Pick out the variables and constants: A, – 15, q, l, 22.3, 73
Solution:
The variables are A, q and l
The constants are – 15, 22.3 and 73.
Practice problems:
1) Pick out the variables in the following:
6, c, – 12, h, k, 16, m, n, – 22, p, s, 30
2) Write any five variables:
Power of the variable in math:
In math, the product of 18 and a is 18 × a and it is written as 18a .Similarly the product of two literals a and b is a × b = ab
Now let us see how the repeated product of a literal with itself is written in math.
Multiply a with a. We get a × a and is denoted by a2.
We read a2 as a to the power of 2. Similarly d × d × d = d3, which is read as m to the
Power of 3
In a2, 2 is the power and a is the base.
In d3, 3 is the power and d is the base.
Example problems using the variables:
a + 5 = 10. Find the value of a.
Solution:
To find the value of a, we have to move the like terms in one side
For that, subtract 5 on both sides
a + 5 – 5 = 10 – 5
Simplify,
a + 0 = 5
a = 5.
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