Addition and multiplication follow specific guidelines called the Additive Principle and the Multiplicative Principle. But how do they actually work?
In this lesson, I explain these principles step-by-step. Mastering them will give you a much better grasp of the Decimal Number System (or base-10 positional system)—the very set of rules used to represent all numbers.
By the end of this video, you'll understand the logic behind the numbers we use every day.
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A adição e multiplicação é regida por princípios que podemos chamar de princípo aditivo e princípio multiplicativo, então se quiser conhecer mais sobre esses princípios está aula irá explicar como é cada princípio Os princípios aditivo e multiplicativo irão te ajudar melhor na compressão do sistema de numeração decimal, também chamado de sistema de numeração decimal posicional, é um conjunto de regras que são utilizadas para representar os números
00:00Additive principle. Today we're going to talk about the additive principle. It's a very simple concept.
00:11and that will be very important throughout your learning, especially in the use of
00:18other mathematical concepts. So let's think a little. We have 325 here. What does that mean?
00:28Using the additive principle? It's a very simple and basic concept. 325 we can write
00:35It's like this: 300 plus 20 plus 5. As you can see, 300 plus 20 plus 5. And then you do this...
00:47Adding them together, you'll get exactly 325. So you noticed that we were adding the quantities.
00:55And it kept adding up. That's the additive principle. Now keep that concept in mind and let's move on to the next one.
01:02which is the multiplicative principle.
01:06Multiplicative principle. In the multiplicative principle, we will use the same number that we did in the...
01:13Additive principle. Here we have 325. And now let's begin a brief reflection on the number 300.
01:22Have you ever stopped to think that 300 is 3 times 100? That is, it's 300. So let's write it down now.
01:34That's another way of saying it. Remember the additive principle? 325 equals 300 plus 20 plus 5. Principle
01:43Additive. Now we can write this in the following way. 300 plus 20 plus 5 is the same as writing
01:523 times 100 equals 300. Writing 2 times 10 equals 20. And writing 1 times 5 equals 5.
02:04So, can you see the difference between the additive and multiplicative principles?
02:09In additive operations, we used addition. And in multiplicative operations, we used multiplication.
02:17Putting them side by side, we have this.
02:20325, the number, which is equal to 300 plus 20 plus 5. Which is the same as writing 3 times 100, which equals 300.
02:31plus 2 times 10, which equals 20, plus 1 times 5, which equals 5. Therefore, we have here the principle
02:41The multiplicative principle is the additive principle.
02:46Okay everyone, let's look at an example. I'm going to give you two numbers. Based on what we've seen in this lesson, I want you to answer in the comments how to write these two numbers using the additive principle and the multiplicative principle.
03:07Let's look at an example.
03:10Therefore, write the numbers below using the additive and multiplicative principles in the comments.
03:18Okay, let's go. Take what the little boy is thinking of, 1025, and write in the comments what the additive and multiplicative principles of this number would be.
03:28Finally, subscribe to the channel, leave a like, and share our videos.
03:39And that's all for this lesson. Until next time!
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