Scientific Notation Form 1 and 2 New Syllabus ECZ

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[00:00:00]Good evening everybody.

[00:00:03]Welcome to this platform. My name is Jacob Sich Chamba. All right. So I know most of you are aware that uh the syllabus for ECZ has changed and um there is some works that each and every form one needs to to know. So for example, what we have here is the work for form one and two. They need to know how to work out scientific notation.

[00:00:46]So the first question here we need to write it in scientific notation.

[00:00:54]So what you must first of all understand is to identify the significant figures.

[00:01:04]So when we look at this question or should I say question A, how many significant figures do we have right here? There are four significant figures.

[00:01:17]And when it comes to significant figures, we simply talk about the numbers. Okay, each digit which is greater than zero. For example, when you look at this, it's greater than zero.

[00:01:35]Okay, look at this. It's greater than zero. This one and this one, they are all greater than zero. Therefore, they qualify to be called significant figures. So, 1 2 3 4 There are four significant figures. For this one, if I may ask you to apply or to think outside the box, how many significant figures do we have right over here?

[00:02:10]There are three.

[00:02:12]One, two, three.

[00:02:14]We don't count [clears throat] anything that is less than one. A zero is not a significant figure. If it is this side, if they are ending, they are not considered as a significant figures.

[00:02:31]For this one, when the zeros are in front starting like they are starting here, they are not significant figures.

[00:02:39]So, we've got how many significant figures? 1 2 3. Here it's 1 2 3. That's it. Now come to this one which is very important.

[00:02:50]A zero right here is not a significant figure because it's starting. A four is a significant figure. What about this zero?

[00:03:01]Any zero that is found in between the numbers that are greater than zero, it's also a significant figure. For example, here this zero is a significant figure.

[00:03:17]Significant figure two significant figure and a one is a significant figure. So let's count how many significant figures are right on question D. They are 1 2 3 4 5 five significant figures. Now let me take you back to what we are doing this evening which is a scientific notation.

[00:03:45]So for scientific notation you must know the first significant figure. So when you're coming from this side check which one is the first significant figure. It is a a four.

[00:04:00]That's the most important thing that you are supposed to know. Get to know the first significant figure.

[00:04:09]And if I were to ask you that where is the point on this question, the point is right here. That's where the point is.

[00:04:20]What about this one? Where is the point?

[00:04:23]It is It is also right here.

[00:04:27]here. Where is the decimal point? It's right here. For this one, it's here.

[00:04:33]Now, what you can keep in your mind is that whenever you are able to see a decimal point, just know that that decimal point must be at the back right here. If I see a decimal point, I know where it is. I've seen here, I know where it is. But for this one, I can't see where the decimal point is. That tells me that decimal point is right over here. That's what you need to know.

[00:05:01]So let's write something here. So now converting a into scientific notation.

[00:05:12]We will first identify where the decimal point is and the decimal point is right here. So we have to write four and then put a decimal point.

[00:05:25]Have you seen put a decimal point just after a significant figure you put a point and this will be 3 7 8 and you say times okay times 10 always it should be times 10. The moment you move that decimal point to this, it should be times 10. Now, what power or what exponent are we supposed to put right here? So, the exponent that we're supposed to put, it's a 1 2 3. It's a a three power three. That's the answer for this one. Just remember that you put a decimal point. So it was here. It has moved down many steps, three steps. And when you look at this number, when you look at this number, which direction is the decimal uh point moving in? Is it going to the front of the number or the back? The decimal point was here. So it's now moving to the front of the number. Therefore, the exponent will have a positive. You are going to have a positive power. That's how it is. Let's look at question B. Question B, we've got uh a two 3 4 0 0. So here we shall say 2 3 4 0. Uh actually don't put the zeros here. Remember this. Don't put the zeros. So the zeros which are here, we will ignore them. But we're going to say times 10 like it was here. Power the decimal point was here. 1 2 3 4 power 4.

[00:07:26]That's how it's supposed to be.

[00:07:29]One quick thing, don't put the zeros here. If they are zeros, ignore them.

[00:07:36]That's how it is. They are not significant figures. So ignore the zeros at the end. Okay? And when counting the movement of the decimal, start from here. 1 2 3 4. Just like that. We go to question C. Question C, they've given us 0.0 3 uh 2 4. So this is um it's good. You can see we can now see the decimal point on this question. And the decimal point is right over here. So we're going to say zero. Okay. Have you zero right there?

[00:08:22]Oh, sorry. Let's do this. Let's do this.

[00:08:25]We shall say three because this is not a significant figure. This is also not a significant figure. This one is not a significant figure.

[00:08:36]Remember when we started we talked about significant figures three it's a significant figure so we're going to say 2 4 * 10 okay 10 power have you seen three so now let me show you something these are not significant figures we start with a significant figure and the point must always be after the significant figure. For example, here and then you put a point. So now you start counting how many steps it's 1 2 3. So it's a -3. And why are we putting -3? It's because we are moving in the opposite back of the number direction.

[00:09:32]We're moving going backwards. Okay. Here the decimal is here. We are moving in front of the number. While here the decimal is in front. We are moving to the back of the number. That's how this is. Let's check out one quick question here which is this one. I'll just write the answer here. So this will be a 4 4 0 6 2 1 * 10^ -1. So the point is right here. It will just make one move in the backwards direction. Okay. So since it's backward the power will be power one just like that. Thank you so much. Hopefully you've gotten one or two things out of this question. Please share the video and tomorrow which is a Friday. Tomorrow Friday and remember the date today is the 14th and tomorrow it will be the 15th we are opening or we are starting to enroll the form ones. So if you've got a child who is doing form one and you don't understand, you can see that most of the form ones are facing difficulties on how to work out or understand the syllabus. So they can join our online classes. We've got classes or we are forming classes for form ones that is mathematics one and mathematics 2. Remember there are two types of mathematics which they are doing. Mathematics 2 is more like additional mathematics and there is physics, there is chemistry, there is biology. These are the classes that we are forming for the form ones starting tomorrow. So book a slot before it's too late. The number that you can get in touch with us if you want a slot for your child is 096975701 or 0974 63 2097.

[00:11:50]These are the numbers. Thank you and bye-bye.