yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Estimating multi-digit division word problems | Grade 5 (TX TEKS) | Khan Academy


2m read
·Nov 10, 2024

We're told a dog food company produced 4,813 dog biscuits. The company will put the dog biscuits into bags, each containing 40 biscuits. About how many bags will the company be able to fill? So pause the video and think about it, and remember you don't have to figure out exactly how many bags the company will be able to fill; they say about how many bags.

All right, now let's work through this together. To figure out this, I'm just going to round some of these numbers so that I can work with them in my head. So, 40 is already a nice, clean, friendly number. Let's see, I'm going to have to divide this number by 40. If I divided 4,813 by 40, I would get the exact number of bags that the company would be able to fill. But maybe I could round this to something that is very easy to divide by 40.

If I round this to the nearest 100, that gets me to 4,800. So I can say this is going to be approximately equal to 4,800 divided by 40. Why did I like 4,800? Well, because 4 goes into 48 really cleanly. So let's see, how many times does 4 go into 4,800?

4 goes into 48 12 times, so it goes into 4,800 1200 times. Therefore, 40 would go in 120 times. So I would say approximately 120 bags.

Let's do another example. A teacher is taking 29 students on a field trip to the state fair. The teacher has 592 tickets for the rides and games. She wants to divide up the tickets equally among the students. Estimate the number of tickets each student will get.

So again, pause the video and try to do that. All right, so neither of these numbers are really that friendly. But it looks like we can round them to numbers that are a little bit more friendly. So, 29 is approximately 30, and then 592 is approximately 600.

If I round to the nearest 100, 600 are nice, friendly numbers. 30 goes into 600 pretty cleanly; 600 divided by 30 would be 20. So, approximately 20 tickets per student.

More Articles

View All
Comparing the effects of the Civil War on American national identity | US history | Khan Academy
It’s hard to imagine anything more transformative in American history than the Civil War. Before the Civil War, the United States was a largely rural, barely unified collection of states, not making much of a blip on the world stage. After the Civil War, …
What Is Art?
What is art? Is this art? What about this? This most would hesitate to call this art, unless it’s the art of cruelty. But then again, that’s most, not all. Because as dark as this might seem, someone out there thinks of it as art. And who are we to say th…
Divided government and gridlock in the United States | Khan Academy
We have this diagram here, party divisions of the United States Congress. What this helps us visualize is which parties controlled the various houses of Congress, as well as which party was in control of the White House. For example, during Lyndon Johnson…
What do quadratic approximations look like
In the last couple of videos, I talked about the local linearization of a function. In terms of graphs, there’s a nice interpretation here. If you imagine the graph of a function and you want to approximate it near a specific point, you picture that point…
Factorization with substitution | Polynomial factorization | Algebra 2 | Khan Academy
We’re told that we want to factor the following expression that they have right here, and they say that we can factor the expression as ( u + v ) squared, where ( u ) and ( v ) are either constant integers or single variable expressions. What are ( u ) an…
Graphs of indefinite integrals
Find the general indefinite integral. So we have the integral of 2x dx. Which of the graphs shown below, which of the graphs below shows several members of the family? So if we’re talking about, so if we’re taking the integral of, [Music] 2x dx, we’re …