- What is the sum of a number and zero?
- When two numbers are added the sum is the same regardless of the order of Addends?
- When three or more numbers are added the product is the same regardless?
- What property is adding 0 to any number leaves it and change?
- Under what conditions does ax Bxc AXB XC?
- What is a Bxc?
- What is AxB XC?
- What are the elements of AxB?
- How many injections are defined from set A to set B?
- How do you find the number of functions from A to B?

## What is the sum of a number and zero?

In other words, the sum of any whole number and zero is the number itself. That is, zero is the only whole number that does not change the value (identity) of the number it is added to. The whole number 0 (zero) is called the additive identity or the identity element for addition of whole numbers.

## When two numbers are added the sum is the same regardless of the order of Addends?

Commutative Property When we add two or more whole numbers, their sum is the same regardless of the order of the addends. The sum of both 2 + 4 and 4 + 2 is 6. That means, we can add whole numbers in any order.

## When three or more numbers are added the product is the same regardless?

Associative Property

## What property is adding 0 to any number leaves it and change?

The multiplicative inverse of a number, a is so that a x = 1. Adding 0 to any number leaves it unchanged. For example a + 0 = a. Multiplying any number by 0 yields 0.

## Under what conditions does ax Bxc AXB XC?

But b x c is already perpendicular to both b and c. That is, a x (b x c) lies in the plane of b and c. Consequently, (a x b) x c, which is the same as −c x (a x b), will lie in the plane of a and b. Hence, (a x b) x c will, in general, be different from a x (b x c).

## What is a Bxc?

b. b x c. c. a. The area of the base of the parallelepiped, from the geometrical properties of vector products, is the magnitude of the vector, b x c, which is perpendicular to the base.

## What is AxB XC?

(a x b) x c = (a c)b – (b c)a (1) for the repeated vector cross product. This vector-valued identity is easily seen to be. completely equivalent to the scalar-valued identity.

## What are the elements of AxB?

Cartesian Product: The Cartesian product of two sets A and B, denoted A × B, is the set of all possible ordered pairs where the elements of A are first and the elements of B are second. In set-builder notation, A × B = {(a, b) : a ∈ A and b ∈ B}. Example: Let A = {H, T} and B = {1, 2, 3, 4, 5, 6}.

## How many injections are defined from set A to set B?

∴ There are 24 ways of mapping an injective function from A to B. The answer is option-C. 4P3=4!

## How do you find the number of functions from A to B?

Therefore, each element of X has ‘n’ elements to be chosen from. Therefore, total number of functions will be n×n×n.. m times = nm. For example: X = {a, b, c} and Y = {4, 5}.