Rounding Place Value to Billions

So what I'm doing here is when I say I'm going to round to the tens place, an actually saying that I'm only going to count by tens. So using my number line, I'm just going to pick a dash to start with. And I'm going to identify that, okay, to the tens place. So I'm got 14,000, 400, and 50, some counting by tens, so notice that 50 is one of the multiples of ten. Just for the sake of having some space, I'm going to scoot over here and say if I was counting by ten, and I'm at 14,450, my next count by ten, or increase by ten, would be 14,000. 400. 60. So we've identified now that two choices we have to round this number by ten. We could round down. Or we can round up. What we're trying to do is figure out where does 56 lie in between those two choices? Visually, if you look, you could see that the 56 would be right about right about here. And I think using this number line, you can actually see that it's looks like it's closer to the larger value 14,460. 

Another way of looking at this is saying that it is four away going that way. If I were to go back to the smaller number, it is 6 away. From 4014 1450. So however you like to think of it, you can kind of tell then which one is it closer to. So if I'm rounding 14,000 400 56 to the nearest ten, my answer be 14,000 400. In 60. One thing I'd like to point out to you just to make sure it's clear is notice that in my answer the one stayed the same, because I'm not counting by 10,000s. The four state the same in the thousands place. And the hundreds stayed the same. In both of them, because I'm not counting by hundreds. I'm counting by tens. So one of my choices was a 50. And then the next highest ten is the 60. 

So that's how you go about doing that. And I'm going to pop up another problem here. Let me get my board cleared. And this time we're going to be rounding to the nearest thousands place. When we round to the nearest thousands, it means we're counting by thousand, 1002 1003 thousand, in this case were up to 43 thousand already. And so I'm going to go ahead and put that down on my number line 43,000. And if I were going to count by thousands, my next thousand would be 44,000. 

Our question, then, so we've identified our place value that's our thousands place. And we're trying to figure out where the 761 would go in between these numbers. Well, 761 would probably be if this is halfway, and this is 500. Then 761 might be someplace in there. And usually using this number line, you can see that 43,761 is closer to 44,000. Another way that you are often taught to do this in school is to look at the place value. That's the three word graph counting by thousands, and ask yourself, is the neighbor to the right 5 or higher? If it's 5 or higher, you choose the higher answer. If it's four or less, each is the lower answer. So if it's less than four, four or less, then you use the lowest answer, 5 or higher, you round it up to the next choice. So I hope that helps