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.
How did Rousseau resolve the conflict between the rights of the individual and the responsibilities of government (the state)? How did the ideas about universal education and socia
Discuss demanding total market demand verus gaing market share
Multiplication of complex numbers: Example 1: Combine the subsequent complex numbers: (4 + 3i) + (8 - 2i) - (7 + 3i) = Solution: (4 + 3i) + (8 - 2i) - (7 + 3i
how do u add them together?
1. Write two m-files, one for the bisection method and another for Newton's method. 2. Using both the Bisection method and the Newton method answer the following: Include th
Properties 1. The domain of the logarithm function is (0, ∞ ) . In other terms, we can just plug positive numbers into a logarithm! We can't plug in zero or a negative numbe
#questiowhat is 1+1n..
Skewness - It is a concept which is normally used in statistical decision making. This refers to the degree whether a described frequency curve is deviating away from the gene
Explain Combining Negative Signs in integers? You've learned about positive and negative integers. BASICS : When you place a negative sign in front of an integer, you get
why is a complimentary angle 90 degres
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