Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
These can be expressed in terms of two fundamental operations of addition and multiplication.
If a, b and c are any three real numbers, then;
1. i. a + b = b + a
This property is called commutative property of addition. According to this property, addition can be carried out in any order and irrespective of this we obtain the same result. a.b = b.a This property is called commutative property of multiplication.
This property is called commutative property of addition. According to this property, addition can be carried out in any order and irrespective of this we obtain the same result.
a.b = b.a
This property is called commutative property of multiplication.
2. i. (a + b) + c = a + ( b + c)
This property is referred to as associative property of addition. According to this property, elements can be grouped according to any manner and irrespective of the grouping we obtain the same result. (a.b).c = a.(b.c) This property is referred to as the associative property of multiplication.
This property is referred to as associative property of addition. According to this property, elements can be grouped according to any manner and irrespective of the grouping we obtain the same result.
(a.b).c = a.(b.c)
This property is referred to as the associative property of multiplication.
3. a.(b + c) = a.b + a.c or (a + b).c = a.c + b.c
This property is referred to as distributive property. This is generally employed to expand a product into a sum or the other way round. That is, to rewrite a sum as a product.
4. i. a + 0 = 0 + a = a
This property is referred to as identity property under addition. That is, 0 when added to a real number returns back the number itself which is same or identical to itself. Thus 0 is the identity element under addition. a.1 = 1.a = a This property is referred to as identity property under multiplication. That is, when a real number is multiplied by 1, we get back the same number. Thus the element 1 is the multiplicative identity.
This property is referred to as identity property under addition. That is, 0 when added to a real number returns back the number itself which is same or identical to itself. Thus 0 is the identity element under addition.
a.1 = 1.a = a
This property is referred to as identity property under multiplication. That is, when a real number is multiplied by 1, we get back the same number. Thus the element 1 is the multiplicative identity.
This property is referred to as identity property under multiplication. That is, when a real number is multiplied by 1, we get back the same number.
Thus the element 1 is the multiplicative identity.
5. i. a + (-a) = (-a) + a = 0
This property is referred to as inverse property under addition. According to this property, for every element a, there exists another element - a such that the addition of the both gives us zero. The element - a is referred to as the additive inverse of the element a. On a number line, an element and its additive inverse lie at equi-distant from the origin.
This property is referred to as inverse property under multiplication. According to this property for every element a, a ≠ 0, there exists another element 1/a such that the multiplication of a and 1/a results in 1. The element 1/a is referred to as multiplicative inverse element.
6. i. If a + x = a + y, then x = y.
This property is referred to as the cancelation property. According to this property a constant quantity when present on both sides of the equation can be canceled without disturbing the balance which exists between the expressions. If a≠0 and ax = ay, then x = y. This property is referred to as the cancelation property under multiplication.
This property is referred to as the cancelation property. According to this property a constant quantity when present on both sides of the equation can be canceled without disturbing the balance which exists between the expressions.
If a≠0 and ax = ay, then x = y.
This property is referred to as the cancelation property under multiplication.
7. i. a.0 = 0.a = 0
This property is referred to as the zero factor property. According to this property any real number a, if multiplied by zero would yield a zero. This can be also put as: if one of the factors happens to be zero, irrespective of other factors, the product of all these factors would yield a zero. If a.b = 0, then a = 0 or b = 0 or both. According to this property, the product of any two real numbers a and b is zero if one of them happens to be zero, that is either a = 0 or b = 0 or both of them happen to be equal to zero.
This property is referred to as the zero factor property. According to this property any real number a, if multiplied by zero would yield a zero. This can be also put as: if one of the factors happens to be zero, irrespective of other factors, the product of all these factors would yield a zero.
If a.b = 0, then a = 0 or b = 0 or both.
According to this property, the product of any two real numbers a and b is zero if one of them happens to be zero, that is either a = 0 or b = 0 or both of them happen to be equal to zero.
What is 124 out of 300 in percent ?
In this section we will see the first method which can be used to find an exact solution to a nonhomogeneous differential equation. y′′ + p (t ) y′ + q (t ) y = g (t) One of
how do you divide fractions?
Assume that between workers exposed to asbestos in a shipyard in 1980, 33 died over a 10 year period from COPD, whereas only 24 such deaths would be expected based on statewide mor
Integration Techniques In this section we are going to be looking at several integration techniques and methods. There are a fair number of integration techniques and some wil
can anyone explain me the concept of quadratic equation?
DECISION THEORY People constantly make decisions in their private lives as well as in their work. Some decisions are qualitative in terms of their implications and signi
A circle is inscribed in a triangle ABC having sides 8cm, 10cm and 12cm as shown in the figure. Find AD, BE and CF.
Mike, Dan, Ed, and Sy played together on a baseball team. Mike's batting average was 0.349, Dan's was 0.2, Ed's was 0.35, and Sy's was 0.299. Who had the highest batting average?
how to solve this? y = 7x - 12 y = x2 Solve the system using substitution.
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd