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YouTube

Pre-Algebra - Numbers, Fractions, Decimals, Exponents, and Scientific Notation

Krista King via YouTube

Overview

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Master fundamental mathematical concepts through this comprehensive video course covering essential pre-algebra topics over 5 hours and 31 minutes of instruction. Explore the properties and operations of numbers, starting with identity numbers, opposites, and signed number arithmetic including addition, subtraction, multiplication, and division. Learn about absolute value, divisibility rules, multiples, prime and composite numbers, prime factorization, and least common multiples. Develop proficiency with decimal operations including place value, arithmetic, repeating decimals, and rounding techniques. Study fraction concepts extensively, covering reduction and cancellation, equivalent fractions, addition, subtraction, multiplication, and division of fractions, along with reciprocals and fraction signs. Convert between fractions, decimals, and percentages while exploring percent markup applications. Work with mixed numbers and improper fractions, including all four basic operations and relationships between different number types. Apply mathematical concepts to real-world scenarios through ratio and proportion problems, unit price calculations, unit multipliers, and chemical compound applications. Master exponent rules including the power rule, quotient rule, negative bases, fractional powers, and zero exponents. Explore radical operations including addition, subtraction, and multiplication of square roots and other radicals. Conclude with scientific notation techniques for expressing and calculating with very large and very small numbers, plus an introduction to statistical measures including range, mean, median, and mode.

Syllabus

identity numbers (KristaKingMath)
opposite of a number (KristaKingMath)
signed numbers, addition and subtraction (KristaKingMath)
signed numbers, multiplication (KristaKingMath)
signed numbers, division (KristaKingMath)
absolute value (KristaKingMath)
divisibility (KristaKingMath)
multiples (KristaKingMath)
prime and composite numbers (KristaKingMath)
prime factorization and product of primes (KristaKingMath)
least common multiple (KristaKingMath)
place value (KristaKingMath)
decimal arithmetic (KristaKingMath)
repeating decimals (KristaKingMath)
rounding decimals (KristaKingMath)
reducing fractions and cancellation (KristaKingMath)
equivalent fractions and reducing (KristaKingMath)
division of zero (KristaKingMath)
adding and subtracting fractions (KristaKingMath)
multiplication and division of fractions (KristaKingMath)
signs of fractions (KristaKingMath)
reciprocals (KristaKingMath)
fractions to decimals to percents (KristaKingMath)
percent markup (KristaKingMath)
mixed numbers and improper fractions (KristaKingMath)
addition and subtraction of mixed numbers (KristaKingMath)
multiplication and division of mixed numbers (KristaKingMath)
relationships of numbers (KristaKingMath)
adding mixed measures (KristaKingMath)
ratio and proportion (KristaKingMath)
unit price (KristaKingMath)
unit multipliers (KristaKingMath)
ratio and proportion, word problems (KristaKingMath)
ratio and proportion for chemical compounds (KristaKingMath)
exponents (KristaKingMath)
rules of exponents (KristaKingMath)
power rule for exponents (KristaKingMath)
quotient rule for exponents (KristaKingMath)
exponents of negative bases (KristaKingMath)
exponents, powers of fractions (KristaKingMath)
zero as an exponent (KristaKingMath)
radical addition and subtraction (KristaKingMath)
multiplying radicals (KristaKingMath)
HOW TO EASILY DIVIDE SCIENTIFIC NOTATION (KristaKingMath)
How to estimate HUGE numbers using scientific notation! (KristaKingMath)
How to write small and big numbers in SCIENTIFIC NOTATION (KristaKingMath)
All about DIVIDING SQUARE ROOTS! (KristaKingMath)
How to easily find RANGE MEAN MEDIAN and MODE! (KristaKingMath)
Exponents - What are they?
Scientific notation - How to do it?

Taught by

Krista King

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