
Introduction to Natural Numbers. Also what are odd and even numbers.
Learn how to determine which numbers are prime and which are composite using the famous sieve of Eratosthenes. Here a modified one which is much simpler is shown.
Learn different ways to find prime factors. Finding prime factors is fundamental to the study of mathematics.
Learn the divisibility tests of numbers like 2, 3, 4, 5, 8, 9, 10 and 11. That is to know whether a particular number is divisible by the above mentioned numbers or not.
Here we'll learn how to derive the divisibility tests of other numbers based on our knowledge of divisibility tests.
Introduces what is HCF and two methods to find the same are discussed.
Two more methods to find HCF are discussed.
More sums that discuss how to find HCF
Where do we find HCF in our everyday life. Also discusses the geometrical interpretation of HCF.
Where do we find LCM in our everyday life is discussed here.
Introduction to Integers, positive, zero and negative numbers. Where do we see negative numbers in our real life is also discussed here.
Learn how to add and subtract integers using a number line.
Short but a very important lecture discussing the union of positive and negative signs. Will be very useful to add, subtract, multiply and divide integers.
Learn how to add and subtract integers with out the help of a number line using the merger of signs.
Learn how to multiply positive and negative numbers and learn the logic behind the rules
Learn to divide Integers
Learn BEDMAS / PEMDAS / BODMAS
Learn how to reduce a fraction to its lowest terms by repeatedly dividing the numerator and denominator by common factors until no further reduction is possible.
Learn what is Proper fraction, Improper fraction and Mixed fraction and how to convert mixed fraction to improper fraction and vice-versa.
Learn which fraction is greater and which is smaller and more importantly how and why?
Learn to add and subtract fractions by using equal-sized pieces, such as halves, and rewrite to a common denominator to add or subtract quantities.
Learn 3 methods to add and subtract fractions.
Learn how fractions convert to decimals through division and by multiplying numerator and denominator to reach hundreds, and understand decimal placement and repeating decimals.
Learn to convert decimals to fractions by treating the decimal part as a numerator over a power of ten, then simplify to the lowest terms.
Learn how to convert percentages to fractions and decimals by rewriting over 100, dividing by 100, and shifting decimals. Examples: 75% to 0.75, 6.2% to 0.062, 12.5% to 0.125.
Learn a trick to write down the squares of numbers from 1 to 30 and even more.
Master the square root by factorization using prime factorization, pairing identical factors, and pulling one from each pair to compute the root, with examples like 36 and 144.
Sometimes it is important to guess square roots of an unknown or big perfect square. Learn how to do the same.
Learn another method to find square roots. The division method. Very useful if it is difficult to find the prime factors of a number.
Explore the cube roots concept by evaluating examples such as the cube root of 64 equals 4 and the rule that the cube of a negative number is negative.
Sometimes it is important to guess cube roots of an unknown or big perfect cubes. Learn how to do the same.
Learn what are rational numbers, why are they so called and how to identify the same.
Learn what are irrational numbers and how to identify the same.
Learn what is Profit (or Loss) percentage and why knowing this percentage is important.
When two out of the three (Cost price, Selling price, Profit/Loss Percentage) are given, find the third one using proportion.
Calculate discounts from the printed price by applying a percent off the list price, and determine the final selling price using examples like a $50 bag.
Master math fundamentals teaches calculating percent discounts from original prices using the discount formula, determining selling prices, and practicing with examples of price reductions and final amounts.
Learn how to compute sales commission on a house and a motorcycle using a stated percentage formula, and determine the commission and net amounts received.
Learn to solve land sale commission problems using ratio and proportion, given selling price and commission, to deduce the original price and the commission amount.
Define principal, amount, and interest, and show how the rate per hundred dollars per year and the time determine the total interest.
Understand and strengthen your Math Fundamentals so that you are better equipped to learn higher math.
So see you in the course.