Decimal Place Value: Hundreds to Thousandths

0:01 Hey everybody, welcome back to Math with Mr. DJ. Uh, today we're going to be talking about place value. And in this video, it's place value is so important to understanding number sense. So stick with me here and I think you're going to get a lot out of this video. All right, when we're talking about place value, right, this is the ones place. All right, so let me write and write ones down here. Most people know that right to the left of the ones place, that's your 10's place. And when we're talking about the 10's place, we're talking about 10 1's. Next to that, we're going to have the hundred's place. Hundreds. Now, just to give a little bit

0:46 more information here, let's say we had a five in the ones place. That would be five ones. 1 2 3 4 5. And let's say we had a three in the 10's place. That would be three tens. 1 2 3. And in the hundred's place, let's say we had two hundreds. That would be two hundreds. All right. So, you might be saying to yourself, "Well, Mr. DJ, like why are you drawing dots for the ones place and it's kind of like these longer uh skinny lines for the 10's

1:31 place and these square looking things for the hundred's place. Well, when we're talking about base 10, we we what we're talking about is, you know, like individual cubes for the one place. And I like to draw dots. So for example, you know, one, two, three, four, five, six, seven, eight, nine, 10 of these. 10 of those single dots is equal to one. No, wrong color. Go back. Is equal to one of these lines, right? So that's like a 10. And you can also say 10 of these Um, 10

2:16 of the longs here. 1 2 3 4 5 6 7 8 9 10. 10 of those is equal to 100. So it's important to understand that for place value sake. Okay. Now this number that I have currently written here with the five 1's, three tens and 200s is the number 235 because it has 20 hunds which remember 200s is just 200 and the three 10 is

3:02 30. 30 and the five ones is just five. So it is 20 hunds, 310, 5 1's. Let's start talking about place value with decimals. All right, place value with decimals. Let's put the decimal right here cuz the decimal is always to the decimal is always to the right of the ones place. So it's always like right here. It's always to the right of the ones place. even if you don't see it, even if it's not in the number, like for example, the number 235 wouldn't normally have a decimal place there cuz it's not needed. But once you start talking about um uh the decimal places, you know, fractional parts um

3:49 you know, part of a whole number, you're going to you're going to put the decimal in now, but it's always going to live right there whether you see it or not. Now, let's do this first place value here. This is the tenth's place. Now, sometimes students get a little tripped up and they want to call that like the once place. The once is not a thing. Um, it's it's the ones place and and then it jumps into the 10's place. And the reason why it the first one to the right of the decimal is the 10th's place is because what you're doing is you're breaking up them into 10 parts. like each one is a tenth of one hole. So for example,

4:34 if we have say a four here in the 10th's place, that fourth is this right here individually right here is equal to 4 out of 10 of one whole amount. Right? So like if this was say $235 and410 that's like saying $23540 cuz you have 4/10 of another dollar for example. All right let's keep moving on here. Now let's jump over to the next one. And after the 10th is the hundredth's place. Hundredths place not hundreds hundredths. hundreds

5:20 and it's basically you spell the word 100 oh which I didn't do 100 and then you add ths at the end so it's just hundredth's place and let's say that was a seven there now you have 235 and you want to say the word and when you get to the decimal 235 and 47 hundreds now That seven right there. The value of that seven is 7 out of The value of that seven is 7 out of 100. Hang on. Let me write that out. So the value of that seven is 7 out of 100.

6:05 Again, we had the two hundreds is 200. The 310 is 30. The five 1's is five. And we're going to add on here uh the four 4/10. So it would just be like 4 out of 10. You could also write instead of writing 4 out of 10, you could write um just 0.4. And then for the 700s, you can write um 7 out of 100 like I wrote over there. Or you could also write uh 0.07 here cuz that's 7 hundreds.

6:50 All right, great. Uh let's do one more place value here to uh to the right of the hundredth's place. And all right, let's take a look. Let's do one more. And let's do the thousandth place. And think about that. What does that mean, thousand's place? Well, that just means you're going to break that up into a thousand parts. Okay? And remember, you're spelling thousand uh just spell the word thousand. T H O U S A N D and then add T uh T Hs. Um all right. And let's say we had um a three here. Um and now that would be

7:36 three out of a thousand. Three parts out of a thousand, right? it would take 997 more of those parts to get a whole amount uh if you just had 3,000. Um but in this one we do the whole number altogether is 235 and 473,000. And something really important to understand is that this number right here is equal to this number 235 and 473 over 1,000. All right. this number on the number line right here.

8:22 If you were to put it on a number line, it would live in between the number 235 and the number 236. And if the halfway point between 235 and 236 was 235.5 or 235 1/2, it would live like probably somewhere like right around hereish. All right. So, it's a little bit closer to the 235 than it is to the 236. All right, that's the basics of place value. Very important for having a strong number sense to have all of those memorized. You know, knowing which one is the ones, the tens, the hundreds, and what they mean. And then

9:08 also knowing the tth, hundreds, thousands, um, and what those values are as well. Now, we're not going to get into it in this video, but just know that the that both of those place values go off in both directions in infinite amount of times. So, you know, after the thousand's place is the 10,000's place, then the 100 thousand's place, then the millionth's place, and 10 millions, and so on and so forth. Okay? But for the purposes of this video, we're going to stop it right there. I'll see you in the next video. Make sure you check out my other videos. Don't forget to like, subscribe, leave a comment. Love to hear from you. And again, we'll see you in the next video. Thanks for stopping by.