1 00:00:00,630 --> 00:00:06,730 Find the place value of 3 in 4,356. 2 00:00:06,730 --> 00:00:09,190 Now, whenever I think about place value, and the more you 3 00:00:09,190 --> 00:00:11,720 do practice problems on this it'll become a little bit of 4 00:00:11,720 --> 00:00:14,600 second nature, but whenever I see a problem like this, I 5 00:00:14,600 --> 00:00:20,320 like to expand out what 4,356 really is, so let me rewrite 6 00:00:20,320 --> 00:00:20,880 the number. 7 00:00:20,880 --> 00:00:21,940 So if I were to write it-- and I'll write it 8 00:00:21,940 --> 00:00:23,210 in different colors. 9 00:00:23,210 --> 00:00:33,420 So 4,356 is equal to-- and just think about 10 00:00:33,420 --> 00:00:34,360 how I just said it. 11 00:00:34,360 --> 00:00:48,190 It is equal to 4,000 plus 300 plus 50 plus 6. 12 00:00:48,190 --> 00:00:50,600 And you could come up with that just based on how we said 13 00:00:50,600 --> 00:00:54,810 it: four thousand, three hundred, and fifty-six. 14 00:00:54,810 --> 00:00:58,060 Now another way to think about this is this is just like 15 00:00:58,060 --> 00:01:07,520 saying this is 4 thousands plus-- or you could even think 16 00:01:07,520 --> 00:01:16,880 of "and"-- so plus 3 hundreds plus 50, you could think of it 17 00:01:16,880 --> 00:01:22,040 as 5 tens plus 6. 18 00:01:22,040 --> 00:01:24,420 And instead of 6, we could say plus 6 ones. 19 00:01:24,420 --> 00:01:27,570 20 00:01:27,570 --> 00:01:32,620 And so if we go back to the original number 4,356, this is 21 00:01:32,620 --> 00:01:36,440 the same thing as 4-- I'll write it down. 22 00:01:36,440 --> 00:01:39,230 Let me see how well I can-- I'll write it up like this. 23 00:01:39,230 --> 00:01:51,020 This is the same thing is 4 thousands, 3 hundreds, 5 tens 24 00:01:51,020 --> 00:01:53,670 and then 6 ones. 25 00:01:53,670 --> 00:01:59,820 So when they ask what is the place value of 3 into 4,356, 26 00:01:59,820 --> 00:02:02,120 we're concerned with this 3 right here, 27 00:02:02,120 --> 00:02:03,260 and it's place value. 28 00:02:03,260 --> 00:02:05,090 It's in the hundreds place. 29 00:02:05,090 --> 00:02:06,970 If there was a 4 here, that would mean we're dealing with 30 00:02:06,970 --> 00:02:07,850 4 hundreds. 31 00:02:07,850 --> 00:02:09,850 If there's a 5, 5 hundreds. 32 00:02:09,850 --> 00:02:12,260 It's the third from the right. 33 00:02:12,260 --> 00:02:13,410 This is the ones place. 34 00:02:13,410 --> 00:02:16,500 That's 6 ones, 5 tens, 3 hundreds. 35 00:02:16,500 --> 00:02:20,190 So the answer here is it is in the hundreds place.