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.
- 00:00 “Hello, my name is Oyase Sunday. I'm taking you to Mathematics JSS 3 class. We have an interesting topic for today. A topic is subtraction of numbers in base two numerals. A subtraction of numbers in base two numerals. Th...”
- 00:45 “And don't know now we'll be doing the subtraction of this operation. That the question is, I don't know the class, what are we expecting? Now at the end of the class, we'll be expecting to solve subtraction of two three...”
- 13:16 “1, 0, 1, 0, 1, so I have subtraction. So I have many digits that I have before the point, take note of the digit before the point. I have digits after the point, digits after the point, or before the point, take note of...”
Addition of Binary Numbers
This lesson teaches how to add two or three-digit binary numbers. It covers the basic rules of binary addition, including carrying over when the sum exceeds one. Several examples are provided to illustrate the process.
- 02:30 “one, zero, one, one, one, one, one, so we have one, zero, one, one, one, one, one, one, one, one plus one is one and zero plus one, this, right one, take one to the next column, one plus one is what, ten, that's one and...”
- 01:37 “give you one and zero. Write this one, then take the other one, carry the other one to the other side of the next column, one plus one, we give you ten, sixty, one and zero, the right one, then take one to the next colum...”
- 00:00 “Hello everyone, I am Esther Oluchi Ndubukwe, your Mathematist teacher. And the topic of our today's lesson is addition of numbers in base two numerals. At the end of this lesson, you should be able to add two or three di...”
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.
- 01:43 “Now, binary numbers are, they work similar to base 10, they work similar to base 10, but the exception is this, binary numbers are expressed in 0 and 1. That is, they're expressed within 2, the framework of 2 digits. And...”
- 00:56 “So, what is the class? What are we expected at the end of the class? Now, the objective of the class is to solve multiplication of 2 to 3 digit binary numbers, how to solve, how to go around questions that involve 2 to 3...”
- 10:38 “so I have one times one I have that's what one remember I leave the first two digits one times zero zero one times zero zero one times one one so I have one one one zero plus one one one plus zero one one one plus zero o...”
Counting in Binary
This lesson teaches how to count using the binary system, which uses only the digits zero and one. Students will learn to represent numbers in base two and understand the place values associated with binary digits. Activities include grouping counters to illustrate binary numbers.
- 00:59 “which is known as a decimal system. We have digit zero, one, two, three, four, five, six, seven, eight, and nine. We use this digit to represent numbers in base 10. The binary system is the second in importance to our us...”
- 01:45 “Now, counting in groups of two. Counting in group of two is also known as a binary base system. A binary number is made up of zero and one, like I said earlier. An example is one, zero, one, one in base two. One, zero, o...”
- 09:39 “So yeah, there's nothing here too. Okay, yes, two, we have two. So I write one for two. So this two is now gone. We don't have nothing left. So nothing here. So for our base, for our ten, the equivalent in base two is on...”
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.
- 01:32 “You have to be familiar with the powers of 2. To be able to convert numbers from base 10 to numbers in base 2, you have to be familiar with the powers of 2. So, 2 to the power of 0 equals 1 to the power of 1 equals 2 to...”
- 00:00 “Hello everyone, I am Esther Oluchi, your Mathematist teacher, and the topic of today's lesson is "Conversion of based and numerals to binary numbers." By the end of the lesson, you should be able to convert based and num...”
- 05:41 “How do we do this? The same method, using the subtraction method. So, let's write all, let's draw a... Okay, let's better still group them into 2s. Because we have 8, we have 4, we have 2, then we have 1. So, we have num...”
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.
- 09:24 “six, how many zero do I have? One, two, three, one, two, three, one, two, three, one, two, three, one, two. I mean, I have 12 zeros, three, three, another three, another three, and another three. And another three. So, I...”
- 14:21 “Now, we are going the backward movement. Because forward, there are no digits. So, there are digits backward. And so, because there are digits backward, we move backward. And for every backward movement, a backward movem...”
- 07:01 “So, I could just say, nine multiplied by, how many times did we move the movement? Let's say forward movement. How many times will we move it multiplied by seven? So, we have one, two, three. We have one, two, three, fou...”
Introduction to Sets
This lesson defines a set and explains set notation. It covers types of sets, cardinality, and set operations. Venn diagrams are also introduced for solving real-life problems.
- 06:42 “so we also, our eight will also be, we not be included. We also have B, which is a x such that zero less than or equal to x less than or equal to five. So it means we will start listing the element from zero. One, two, t...”
- 01:43 “a, f, and m. A defines the set to be odd numbers from one to 21 and f defines the factors of 30 and hem defines multiples of four from up to 40. So we have the sets A, which is the set of odd numbers from one to 21. So w...”
- 17:33 “let's say we have the number of A, don't forget we said the cardinality of A says can be represented by this. So we have 23 and we have the number of B to be 12 and we have the number of A union B to be 35 and don't forg...”
Rational and Non-Rational Numbers
This lesson covers the identification of rational and non-rational numbers. It explains the characteristics of different number sets, including natural numbers, whole numbers, and integers. The lesson also discusses the significance of the number PI in relation to circles.
- 01:42 “They're natural numbers. They include the positive counting numbers. So you talk about your 1, your 2, your 3, your 4, your 5. As far as this is positive and this is counting number, it is called a natural number. Take n...”
- 00:10 “Hello, I'm Oyase Sunday, and I'm taking Matamatics JSS 3 class. We're treating an interesting topic for today. And the topic is rational and non-rational numbers. We're taking it from the numbers and numerations. Now wha...”
- 00:56 “And to determine particle appropriate values for the PI, the PI. Now, the PI is usually used doing what? A cycle, that's the cycle phase of the cycle, to bring in your PI. How do we determine that? Now, move on straight...”
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
- 12:13 “what do we have, what do we have, we have, we have, okay, we have two, two into five, oh that will give us two five, two into five, 88 will give us two, nine, four, now, can two, two again, we give us one, two, six, two...”
- 24:58 “finally I have 7, give me 1, if you look to the process with this division, look to the process, it means that I have 3, 3, 5, 5, 7, 7, double double of each of them using the division method, so we have the division met...”
- 25:55 “so split them into 2, I have 3 times 5 times 7, for the first part, and the second part, I have 3 times 5 times 7, now splitting them into 2, 3 times 5, that's 15, 15 times 7, that is 1, 0, 5, multiply by 3 times 5, 15,...”