Algebra

Name: Algebra
Rating: 4.6 (185 reviews)

Algebraic Expressions and Real Numbers

Created byBoubacar Siddy Diallo

Last updated 3/2022

English

What you'll learn

Learn the sign of numbers. Addition and subtraction of real numbers. Opposite of a number. Multiplication of real numbers - the meaning of parentheses. Reciprocal. Least Common Multiples. Fractions. Division of real numbers. Introducing variables - Evaluating algebraic expressions. Exponents - The greatest common factor. Properties of real numbers.

Course content

1 section • 13 lectures • 1h 58m total length

Learn Sign of numbers12:42
Learn how to determine the sign of real numbers, including fractions, by reading the left side of the number and empty spaces, with practice to avoid mistakes.
Adding and Subtracting real numbers15:42
Learn how to add and subtract real numbers by comparing sizes and signs. Apply rules for opposite signs and same signs to compute results.
Opposite of a number5:18
Learn how the opposite of a number is its negative, with integers and fractions as examples. Understand how positive becomes negative and vice versa.
Exercises Opposite of a number2:57
Algebra students practice the opposite of a number, reinforcing that the opposite of a negative number is a positive number, with guided examples.
Multiplication of real numbers9:49
Learn how to multiply real numbers by first determining the signs: same signs yield positive, opposite signs yield negative. Multiply the numbers, and note that parentheses denote multiplication.
Ex Multiplication of real numbers7:11
Practice multiplying real numbers by applying sign rules; negative times positive is negative and negative times negative is positive, as shown by 14 × 7 = 98.
Least Common Multiple16:36
Learn how to find the least common multiple, or least common denominator used in fractions, using prime factorization and division, illustrated with 50 and 90.
Exercises Least Common Multiple10:21
Practice finding the least common multiple of 6 and 36 using prime factorization and step-by-step division, then multiply the remaining factors to confirm the LCM as 36.
Reciprocal of a number8:40
Learn how to find the reciprocal of a number by flipping the numerator and denominator, with examples for fractions and whole numbers; note that zero has no reciprocal.
Exercises Reciprocal of a number3:55
Master the reciprocal of real numbers by converting numbers to fractions and flipping the numerator and denominator, including negative values, with guided practice exercises.
Dividing Fractions9:10
Divide fractions by multiplying the first fraction by the reciprocal of the second, flipping the second fraction. For example, 4/5 ÷ -5/7 equals -28/25, and 11/6 ÷ 2/3 simplifies to 11/4.
Introducing variables7:51
Identify variables as letters that stand for changing quantities and learn to evaluate algebraic expressions by replacing them with given values, such as x=3 in 8x.
Commutative law of Addition7:51
Learn the commutative law of addition, where changing the order of addends does not change the sum, with examples like 2 + 3 = 3 + 2 = 5.

Requirements

Arithmetic (basic addition, subtraction, multiplication, and division)

Description

This course is an introduction to the fundamental concepts of algebra. This course is designed for anyone with little to no previous algebra experience. The course contains videos with detailed explanations to the following topics:

Real Numbers and Algebraic Expressions

Learn the sign of numbers.
Addition and subtraction of real numbers.
Opposite of a number.
Multiplication of real numbers - the meaning of parentheses.
Reciprocal.
Least Common Multiples.
Fractions.
Division of real numbers.
Introducing variables - Evaluating algebraic expressions.
Exponents - The greatest common factor.
Properties of real numbers.

Who this course is for:

Anyone who wants to learn Algebra