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### Course: 5th grade (Eureka Math/EngageNY)>Unit 2

Lesson 6: Topic F: Partial quotients and multi-digit whole number division

# Strategies for dividing multiples of 10, 100, and 1000

Learn the concept of multi-digit division estimation. Watch and understand how to divide numbers that are multiples of 10, 100, and 1000.

## Want to join the conversation?

• Once you get the concept everything is easy
• Yes your statement is true of all levels of math, whether it’s arithmetic, algebra, geometry, trigonometry, probability & statistics, calculus, etc. Once you understand the concepts math becomes much easier.
• Dividing multiples seems confusing. Do you divide or multiply?
• divide of course
• how do u divide something that’s missing like 3,500 divided by blank gets u seventy how would u do that?
• Here is one way to solve for your question. This is just one of many ways to solve for the problem above. You don't have to use this method of solving problems when you solve for problems like this. -

Anyways, we can start off by restating the problem that you asked. You are asking for some number, "x" which divided by 3500 is equal to 70. This is essentially the same thing as finding the number which multiplied by 70 is equal to 3500. Restating the problem can make hard math problems much more easier.

To start off, we can create an equation to solve for this problem. The equation we can create is,

70x = 3500

How did we get this equation? Well, we wanted to find some number, "x" which multiplied by 70 is equal to 3500. "x" is a placeholder for our answer. We essentially restated the problem, but in terms of math. If you are confused on how we got this equation, I suggest watching this video on Khan Academy - (https://www.khanacademy.org/math/algebra-basics/alg-basics-linear-equations-and-inequalities/alg-basics-two-steps-equations-intro/v/basic-linear-equation-word-problem)

Ok, back to the problem. We want to isolate "x" (get x on one side). This allows us to get our answer.

To do this, we can divide by 70 on both sides, getting us the answer of -

x = 50

Yay! We can now check our work by substituting 50 for "x". Here is what it will look like,

70(50) = 3500

After multiplying 70 x 50, we do indeed get 3500.

So after solving for the equation above, we find that the answer to our question is 50.

Again, this is just one possible way to solve for a question like this. You do not have to use this way of solving problems if you don't want to.

If you want to learn more about how I solved this problem, the equations, expressions, and inequalities unit on Khan Academy is very good. The link is below -

I hope this helps!
• 40000000000000000000000 x 20000000000000000000000000009 ==========?
• 80000000000000000000000000000000000000000000000000
• It is very EASY ty for the video it really helped.
• would if it was not in the thousands like 3,678 divided by 4 then if you wanted to do it this way then how would you do it?
• How does it work with decimals?
• How can you turn a fraction in to a mixed number?