Most of the time in a Mathematics class, Real numbers are always mentioned and we tend to think or rethink what are Real Numbers. In this blog, we will discuss what are real numbers. The Set of Real Numbers The Set of Real Numbers is divided into different sets. It is designed for the use of each number set. All of the numbers/sets of numbers that will be discussed are under the Set of Real Numbers. Irrational Numbers Irrational Numbers are numbers that are neither terminating nor repeating decimals. Some of the examples of Irrational numbers are trigonometric values, logarithmic values, square roots of positive non-perfect square numbers, the value of pi ( π ), and many more. Rational Numbers Rational numbers are numbers that can be represented as a relation between two numbers such that the relation is in the form \[\frac{a}{b}\] where a and b are any integer but b is not 0. Integers ...
FOIL Method is a method used to multiply two binomials. FOIL is an abbreviation used to identify the terms to be multiplied in the binomials. The meaning of the letters of the FOIL are as follows: F - First Terms O - Outer Terms I - Inner Terms L - Last Terms Here are some examples on how to multiply binomials using FOIL Method: Example 1 Since the given are binomials, (x-3) and (x+2), we can use the FOIL Method here. Following the order of FOIL we have: F - (x)(x) O - (x)(2) I - (-3)(x) L - (-3)(2) Getting the products on each term, we will have \[\large x^{2}+2x-3x-6\] Combining similar terms, 2x and -3x, we will have \[\large x^{2}-x-6\] Example 2 Since the given are binomials, (x+5) and (x+9), we can use the FOIL Method here. Following the order of FOIL we have: F - (x)(x) O - (x)(4) I - (5)(x) L - (5)(9) Getting the products on each term, we will have \[\large x^{2}+9x+5x+45\] Co...
Before we discuss Prime and Composite Numbers, we should take note that in this topic our desired quotients would be focused on Natural Numbers. Now, let us begin to know what are Prime Numbers and Composite Numbers. Prime Numbers These are numbers whose divisors are only 1 and itself. Example: 1. The number 2 is a prime number. \[\frac{2}{2}=1\] \[\frac{2}{1}=2\] Since there are no more divisors that can divide 2, we can say that 2 is a prime number. 2. The number 5 is a prime number. \[\frac{5}{1}=5\] \[\frac{5}{5}=1\] If we try to divide 5 by 4, 3 and 2, we will not obtain a Natural Number answer. Since the only divisors for 5 is 1 and itself, we can say that 5 is a prime number. Composite Numbers These are numbers that has other divisors other than 1 and itself. Example: 1. The number 6 is a composite ...
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