Math 0

53問 • 2年前

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Consists of a set of elements called real numbers.

Real Number System

May be positive, negative or zero, and can be classified as either rational or irrational number.

Real Numbers

Any number that can be expressed in ratio of two integer i.e a number of the form a/b where a and b are integers and b≠0.

Rational Number

In rational numbers, decimals classified as fractions may either be __ or __.

Terminating Decimals, Non-terminating Repeating Decimals

Are real numbers that are not rational.

Irrational Numbers

Irrational numbers are also called __.

Non-terminating Non-repeating Decimals

Properties of Real Number

Closure Property, Commutative Property, Associative Property, Identity Property, Inverse Property, Distributive Property

The set of real numbers is said to be closed under a given operation if upon performing any two elements in R, the result also belongs to R.

Closure Property

a + b £ R for any a, b £ R

Closure Property

ab £ R for any a, b £ R

Closure Property

9 + 5 = 14

Closure Property

4(5) = 20

Closure Property

The sum product of two numbers is the same in whatever order they are added/multiplied.

Commutative Property

a + b = b + a

Commutative Property

ab = ba

Commutative Property

4 + 5 = 5 + 4

Commutative Property

4(5) = 5(4)

Commutative Property

The product of three or more numbers is the same in whatever way the numbers are grouped.

Associative Property

a + (b + c) = (a + b) + c

Associative Property

2 + (5 + 7) = (2 + 5) + 7

Associative Property

For addition, the identity element is __ (additive identity)

Zero

For multiplication, the identity element is __ (multiplicative identity)

One

For addition, the inverse element is __ (additive inverse)

-a

For multiplication, the inverse element is __ (multiplicative inverse)

1/a

a + (-a) = 0

Inverse Property

a. 1/a = 1

Inverse Property

The product of a number and the sum of other number is the same as the sum of the products obtained by multiplying each of the other numbers by the first number.

Distributive Property

a (b + c) = ab + ac

Distributive Property

(b + c) a = ba + ca

Distributive Property

The basic language of algebra is __.

Symbolic

Is an object or symbol that changes its value in a particular problem or discussion.

Variable

Last few letters in the alphabet (x, y, z)

Variable

Is an object or symbol that does not change its value in a particular problem or discussion.

Constant

First few letters in the alphabet (a, b, c)

Constant

Is a constant, a variable or a combination of constants and variables together with the operations of addition, subtraction, multiplication, division, raising to powers or extraction of roots.

Algebraic Expression

Consist of a variable and constant separated by + or - sign.

Terms

Is an expression which is composed of terms separated by the fundamental operations in Algebra.

Polynomial

Exponents should be positive.

Polynomial

If exponents are/have negative.

Algebraic Expression

Is an algebraic expression consisting of only one term.

Monomial

Is an algebraic expression which consists of two unlike terms.

Binomial

Is an algebraic expression which consists of three unlike terms.

Trinomial

Is an algebraic expression which consists of four or more unlike terms.

Multinomial

Is the symbol or letter in a particular expression.

Literal Coefficient

Is a numeral/number in a particular expression.

Numerical Coefficient

Is the sum of the exponents of its variables.

Degree of Term

Is the highest exponent found in any non-zero term of the polynomial.

Degree of a Polynomial

Same variable and exponent.

Similar or Like Terms

Same variable but different exponent.

Unlike Terms

set of rational numbers

set of irrational numbers

Q¹

set of real numbers

2 ways of adding polynomials

Horizontal Form, Vertical Form

Pg 1. Radio-and-Television

Jian Estelle · 23問 · 2年前

Pg 1. Radio-and-Television