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.
- 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...”
- 13:22 “Remember what? 1. So, we can see that 10. 10, in base 10. Don't forget that you are supposed to come to write from the bottom to the top. Now, we have 1, 0, 1, 0 in base 2. You can see that this is what we got when we ev...”
- 04:54 “So, the 1 that we have here, there's a 1 here. So, we just put down 1 here, there's a 1 here, add your 1 here. So, we see that this 4 plus 1 equals 5. So, the binary equivalent of 5 in base 10 equals what? It's very clea...”
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.
- 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...”
- 07:12 “Use the method in example one to represent the numbers from one to twenty in base two in a paper abacus. So for each number, you're going to do this. Group them into eight, four, two, and one. We have done number nine fo...”
- 00:11 “Hello everyone, I am your Mathematics teacher, Esther Oluchi Ibebukwe. Today, our topic is counting in base two. By the end of this lesson, you should be able to count in group of two's. Number basis, a number base is th...”
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.
- 03:10 “in the form of two raised to power x. So we have two raised to power x equals two raised to power five. Two raised to power five will give us 32. So we have, and you can see that we have the same base. Since we have the...”
- 03:56 “it means that if we have, how do we make this one to have the same base with the right-hand side? So we have, this is going to be 25 all over 100. That is 0.25 give us 25 over 100 all is power of x plus one equals. And t...”
- 04:44 “minus one. That is four is per minus one. All raised to power was x plus one equals four raised to power two. And by the time we use what we call the power law in our indices, in our law of indices, we can easily have th...”
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.
- 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...”
- 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...”
- 00:46 “And also zero plus one equals one, one plus zero equals one. And one plus one equals ten, one and zero. So you must take note of all of this if you must add base two numbers together. Zero plus one equals zero, zero plus...”
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...”
- 13:07 “bring down the one one plus zero bring down the one one plus zero bring down the one then the final one is one all in base two okay now we have we have all in base two okay so we have this as this at the final answer bec...”
- 04:23 “As I want to say, okay, solve, I have 1, 0, mean 1, 0, okay, 1, 0, 1, 0, and I have 1, 0, 1, I'm multiplying. Now, let's multiply in the multiplication. It becomes important that you use your first digits. First to digit...”
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.
- 18:13 “That's 10 times 10. 10 in two forms. That's 10 times 10. 10 in two form. 10 times 10. 10 times 10. Now, going forward, we have that gives categorically equal to 3.14.1.6 divided by 10 times 10 is 100. 100. So, we have 3....”
- 15:51 “When you divide it by 20, when you bring out your calculator and you divide this by 20, you are expected to have your pie to be 1. 3.1416, 3.1416, 3.1416. Now, that becomes my value when you divide it on your calculator....”
- 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...”