Category: 05. Basic number properties

There are two ways to find the inverse of a number. The first way is to look for the opposite or additive inverse of the number. The second way is to look for the reciprocal or multiplicative inverse of the number. Examples showing how to find the inverse of a number Find the opposite and…

The density property states that between two rational numbers, there is another rational number. For example, is there a rational number between 0 and 1/2 ? Yes, there is a rational number between 0 and 1/2 and that rational number is 1/4.  0           1/4            1/2 If you do not quite understand why 0 is a…

We will show 6 properties of inequality. When appropriate, we will illustrate with real life examples of properties of inequality. Let x, y, and z represent real numbers Addition property: If x < y, then x + z < y + z Example: Suppose Sylvia’s weight < Jennifer’s weight, then Sylvia’s weight + 4 <…

There are 8 properties of equality and their names are listed below. We will define them and when appropriate, we will illustrate with real life examples of properties of equality.  Reflexive property of equality Let x represent a real number. The reflexive property states that a number is always equal to itself. Mathematically, x = x…

Properties of real numbersLet a, b, and c represent real numbers Property Addition Multiplication Closure a + b is a real number ab is a real number Identity a + 0 = a, 0 + a = a a × 1 = a, 1 × a = a Inverse a + (-a) = 0 a…

The identity property of multiplication, also called the multiplication property of one says that a number does not change when that number is multiplied by 1. You can see this property readily with a printable multiplication chart. Display the chart in front of your student and have them look at the products in the first row…

The two properties of zero are the addition property of zero and the multiplication property of zero. The figure below illustrates the addition property of zero and it can be written as 2 + 0 = 2Addition property of zero: The addition property of zero says that a number does not change when adding or…

The distributive property states that multiplying a number by an addition problem is the same as multiplying the number by each addend in the addition problem and then adding the products. If instead the number is multiplied by a subtraction problem, it is the same as the difference of the products. Notice that the distributive…

The word associate in associative property may mean to join or to combine when doing addition or multiplication. It states that when adding numbers or multiplying numbers, the way that the numbers are combined using parentheses or brackets will not change the answer. Associative property of addition In the figure above, we are trying to…

Find below some examples of commutative property in real life and some other examples where you can use the commutative property. Can the commutative property be used in the situation described ? Example #1 Robert and Maria order sausage and pepperoni on their pizza. Here, we are trying to see if sausage and  pepperoni are…