Whole Numbers and Prime Factorization
This lesson covers the expression of whole numbers and decimal numbers in standard form. It includes finding prime factors of numbers up to 200, determining the least common multiple (LCM), and finding the highest common factor (HCF). Additionally, it addresses perfect squares and square roots using
- 16:30 “could have given you a very good idea, now let's pick up one more, one more, let's look into one more, to be able to let's say find the is common factor of 24, 36, and 54, find the is common factors of 24, 36, and 54, no...”
- 13:56 “you are expected to have, out the process, so when you bring out the process, I'm supposed to have, separate them into the two, so for these two, I have what divides them, I have 222, 223, the LCM, so, I have two multipl...”
- 22:20 “moved for the next, remember we started from square to perfect square then to square root, the three are they are together, so moving up I have square root, so if I have the square root of 49, it means that what I'm simp...”
Whole Numbers and Their Properties
This lesson covers whole numbers, including their definition and characteristics. It explains how to express whole numbers and decimal numbers in standard form. The lesson also includes finding prime factors, least common multiples (LCM), and highest common factors (HCF) of numbers.
- 24:59 “Now, what would not be the poor dot of the prime factors? Remember a question taking three. What would not be the poor dot of prime factors? Poor dot of prime factors. See, the prime factors already two and two and 11. P...”
- 21:44 “your point becomes very important. Now, there's an aspect to clearly look at. The aspect that is called the prime factorization. Now, what are the prime factorization has to do? Remember, from our objective, we said we'r...”
- 24:09 “what numbers can divide again from R, from R table? Remember a table. Technut of your table, we have what are the factors? We have two, two divide 22. That gives 11. So, 11 also can also go and 22, the number itself. Now...”
Factorization of Algebraic Expressions
This lesson covers the factorization of simple algebraic expressions and quadratic expressions. It includes methods for identifying factors and solving related word problems.
- 01:34 “You write a number or an expression as a product of itself. When you write a number or an expression as a product of itself is factorization. You write a number. We're going to be solving questions on it or first, we're...”
- 26:52 “Factorized, P square minus 10P plus 25. The last one says factorized, x square plus xy plus 8x plus y plus 8y plus y plus 8y. So, you could see that I had to bring it into four. So, you could group it into two, two, two....”
- 13:16 “Then I have plus 2 into 14 is 7 and I have x squared, taking out x to the power 4, will be left with 1, 2x. Oh, beautiful. Now, this has given us a better idea on the factorization process. Which gives you wider view to...”
Exponential Equations
This lesson covers the definition and properties of exponential equations. It explains how to solve exponential equations of linear form by ensuring the bases are the same. Examples are provided to illustrate the process of finding the unknown variable in these equations.
- 06:18 “two raised to power x or raised to power two. We use what we call the power law yeah. So minus six raised to power two raised to power x plus eight equals zero. So let's why equals two raised to power x. So it means wher...”
Roots of Quadratic Equations
This lesson covers how to find the sum and product of the roots of a quadratic equation. It also explains how to form a quadratic equation given the roots and states the conditions for equal roots, real roots, and no roots. Additionally, it discusses the relationship between a line and a curve in te
- 23:24 “so that you don't deal with like numbers. So that gives me x squared, two over six could lead me to minus one over three. So I have x over three, all right? And 20 over six could lead me to 10 over three, and that would...”
- 03:15 “I have X squared for my X times X. And for my X times minus beta, I'm gonna have X minus X beta. If I go to expand using the minus alpha to multiply, that is minus alpha times X, that gives me alpha minus alpha X. And if...”
- 16:51 “Our roots are actually minus five, minus two over five, and minus one over one, oh, number one over two. So if I have this to be minus then, I should have, excuse me, I should have gotten this to be plus, all right? So t...”