Basic Operations on Whole Numbers
This lesson covers addition and subtraction of whole numbers, including how to align numbers by their place values. It also explains multiplication and division by 10, 100, and 1000, and introduces the use of the BODMAS rule for solving mixed operations.
- 39:05 “So, since you have a question, you don't need a remainder. Okay, now question, so now we have, that's the next question, question C, it does a 1, 4, 5. 1, 4, 5 divided by charging. Now, this one is going to have a remain...”
- 38:18 “5 in 30 is 6, and of course 5 in 5 is 1, so the final answer is 161, you can also use the other method, you still get the same answer. Right now, the next question is, that one is going to have a remainder.”
- 51:10 “if you do 40 times 9, that's 9 times 4 is 36, we have 360, so I think we can use 9, because if you do 40 times 10, 40 times 10 is 400, I'm 400 is greater than 382, so we're going to use 360, so 40 in 382 is actually 9, s...”
Polynomials and Their Properties
This lesson covers the definition of polynomials and their degrees. It explains how to divide a polynomial by another polynomial of lesser degree and introduces the remainder theorem. Additionally, it discusses how to find factors of polynomials and solve cubic equations using their roots.
- 22:11 “find the remainder when p of x is divided by x minus 1. We have to find the remainder when p of x equals x minus 1 is divided by x minus 1. So what are we going to do? So we're going to equate this. We said we have 3 x s...”
- 17:56 “so if you find your quotient a remainder and you want to find your polynomial back, what we need to do is to multiply your quotient by the divisor, then how do you towards the remainder? It's to give you the polynomial,...”
- 24:41 “one is divide Puy-Numia P1 of x equals 2 x squared equals 2 x squared minus 3 x plus 9 by P of 2, P 2 of x equals x plus 3. We have to use lung division method. And find the remainder when x is equal to 3 plus 5 x square...”
Addition and Subtraction of Fractions
This lesson covers how to add and subtract fractions with the same and different denominators. It explains finding the least common multiple (LCM) to create equivalent fractions for addition and subtraction. Examples are provided for practice.
- 10:50 “then you get the answer for the remainder which is the oranges. So we have to go about that very simple. We have 1 over 3, plus 3 over 8, plus 1 over 6. So when you turn this to, the LCM of 3, 8 and 6 is 24. Remember whe...”
- 07:28 “the denominator by 3 to get to f. It also means that you're multiplying the numerator also by 3. Giving you 45 over 12. So for us to solve this problem now, 77 over 12, minus 45 over 12, that will give you 32 over 12. So...”
- 09:13 “1 over 6 for mangoes and the remainder for orange. What fraction of his land is used for orange? So that example 5. So we have a fruit grower, 1 over 3 for bananas, 1 over 8 for pineapples, then 1 over 6 for mangoes and...”
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
- 08:57 “get two, now using the division method, division method method B, also for clarification, let's see the division method now, in the division method, that's method B, it will give you, we have it as right out the division...”
- 09:44 “can two go in this, no, you start off with three, now, three into nine, that gives us what, three, it cannot go in 11, three can still go wrong, three, one, three into 11, cannot go, and the last one is 11, one, one, all...”
- 01:38 “known as the LCM, the lowest common multiple, the LCM, the lowest common multiple is the lowest or the smallest all number into which two or more numbers divide without the remainder, now once you're going to do that, yo...”
Converting Base 10 to Binary
This lesson teaches how to convert base 10 numerals into binary numbers using two methods: subtraction and successive division. Students will learn to identify the powers of 2 and apply them in the conversion process.
- 10:21 “We have done this using this subtraction method. I'm using the same number so that we can see for ourselves that, whichever method you use, you arrive at the same answer. That's the essence of me. Repeat the same numbers...”
- 09:34 “So, there's a 2 in 3. So, what do we do? The same thing here, 3 minus 2, given us 1. That means, well, I don't get 2. Because, we have 1 left here now. So, what do we have? We also have 1 left. So, just put it there. We...”
- 11:06 “It's the same thing we're going to do. The same line we use in doing SCM and SCM. That's the same line we're going to use in solving, trying to convert base 10 to base 2 using the successive division method. So, for the...”
Multiplication in Binary Numbers
This lesson covers the multiplication of 2-digit and 3-digit binary numbers. It explains the basic rules of binary multiplication and how to apply them in calculations. Students will learn to perform binary multiplication without borrowing.
- 14:52 “down I'm going to be having one zero zero one so final answer you are adding up so add up I have one one it's coming down one now one plus one that's two so that's two divided by two that gives us one remainder zero that...”
- 15:40 “transferred to this place so that gives us plus one yeah plus one one plus one that's two we turn back here that gives us zero that what do I have then I have the last one transferred yeah that's plus one so plus one plu...”
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.
- 17:03 “it is division. We moved backward. That's out of a 7. So, if you look carefully, so we have, what do I have? I have 7, 7 over how many times do I have? I have 10 ways to power 6. Because of the sign of division, because...”
- 18:36 “this is moving up, it becomes a minus. That's negativity. Take notes. It becomes very important. It becomes very important. Now, looking at it again, another example that we have in the part of division. So, you could ha...”
- 22:37 “19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and finally, 97. Now, but the question is, let's pick a question and how do we not express it in this form? Like we've done. It turns to power n, it's a...”
Subtraction in Binary Numbers
This lesson covers the subtraction of two 3-digit binary numbers. It explains the four basic rules of binary subtraction, including borrowing when necessary. Students will practice solving binary subtraction problems using these rules.
- 03:11 “So we have to borrow. So in this room, we will need to borrow. Now, what do you need to do? You borrow from the nest digits. So this is where the borrow comes in place. So please take notes that when we have zero minus o...”
- 17:52 “Two zeros, I have one. And I have zero, and I have one, okay. So going back to the process again, I have a half, one minus one, zero, zero minus zero, zero, zero minus zero, we give it zero. Now, zero minus one, no, it's...”
- 11:10 “It means that the year is left with only one. Only one. Just note becomes important. Take note of those. That's manipulations in the figure making it flexible to use. So I have plus two. Plus one coming at the base as pl...”