Arithmetic (all content)
Sal solves word problems that involve comparing multi-digit whole numbers.
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- [Instructor] Two baseball teams are comparing the number of fans who attended their most recent games. The attendance at the Stanleyville Sliders' game was 12,896 fans. The attendance at the Benson Bats' game was 12,901 fans. Which team had more fans at their game? Pause this video and see if you can figure it out. Alright, let's work through this together now. Stanleyville Sliders. They tell us Stanleyville Sliders' game was 12,000, 12,896 and there's a reason why I'm writing it really large right over there. And then we see at the Benson Bats' game was 12,901. 12,901. So, the way I like to compare numbers is I go to the largest place value first and I compare. Well, let's see. They both have one 10,000. So, they have the same number of 10,000s, they have the same number of 1,000s, but then when we get to 100s, notice, Benson Bats has more 100s than Stanleyville Sliders. It doesn't matter what happens in the 10s and ones place. If they have more 100s over here. So, Benson Bats this is a larger number. So, which one has more fans at their game? Benson's Bats, and once again, I started at the largest place value, I start at the 10,000's place. It was the same. Then I move onto the next place. It's the same. Then I move onto the next place but now in the 100's place Benson's Bats is larger. So, I know that Benson's Bats has more fans than Stanleyville Sliders. I could write this as 12,901 is greater than, and I always remember the sign by saying hey, it opens to the larger value, so this is gonna be greater than 12,896. And you can even just think about it. Just keep counting. 12,896, 12,897, 12,898, 12,899, 12,900 and then 12,901. Alright, let's do another example. The table shows the weights of several animals at the zoo. Put the animals in order from lightest to heaviest. The lightest animal should be on the top of the list. And so, you can see it right over here, they gave us these three animals, and if you're doing this on Khan Academy you'd be able to click on these and move them around but I just copy and pasted the actual image. So, let's just think about these wights. So, let's do the same thing. Let's first look and actually pause the video and try to solve it on your own. Alright, so if we first look at the 1,000's place. Remember, we start at the largest place value, so the 1,000's place, they all have exactly two 1,000s, so now we move on to the 100's place. So, what the polar bear and crocodile has two 100s but the giraffe only has one 100, so the giraffe is the lightest. And remember, we're ordering from lightest to heaviest because this has the least number of hundreds. They all have the same number of thousands, and so then we move one space to the right to the 100s and the giraffe has the least number of 100s. So, the giraffe is going to be the lightest. And so, let's think about between the polar bear and the crocodile. They both have the same number of 1,000s, they have the same numbers of 100s, they have the same number of 10s but notice, the polar has more ones than the crocodile. And so, the polar bear is heavier, so the crocodile comes next, it's the next heaviest or the next lightest, crocodile and then the heaviest is the polar bear. The polar bear. Now once again, you start at the largest place value, you compare. They were the same. Then you go to the next largest. Oh, there's a difference, so this one must be lighter. Doesn't matter what happens in the 10s and ones because it has fewer 100s than these right over here. And so, if you were sorting these around you would want to put the giraffe first and then you would put the crocodile, and then the polar bear would stay last, so actually you would just swap, you would just swap these two right over here. Let's do one more. This is a lot of fun. Alright. Let me scroll down a little bit. Pause this video now and see if you can solve this. The table shows the elevations for three mountains in North America. Abby is trying to guess the elevation of University Peak. She knows that it is taller than Mount Massive but not as tall as Mount Alverstone. So, it is between Mount Alverstone and Mount Massive. So, it is right over here. Taller than Mount Massive but not as tall as Mount Alverstone. Alright. Fill in the blank with an elevation Abby could guess for the elevation of University Peak. Enter a whole number solution. So, we just have to think of a number that is larger than 14,428 and smaller than 14,400. Well, one possibility is we'll just add one to Mount Massive. So, one possibility is 14,429. That would be taller than Mount Massive but not as tall as Mount Alverstone. Even though it has more ones than Mount Massive, everything else is the same, it has fewer 100s than Mount Alverstone. So, that could be. We could write 14,429. We could have also written 14,430 and we could have kept going all the way until 14,499. They want us to enter a whole number solution. So, any of these would have been acceptable answers.