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Interpreting Remainders

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Interpreting Remainders
CCSS.MATH.CONTENT.4.NBT.A.3

Basics on the topic Interpreting Remainders

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In this Interpreting Remainders 4th Grade Video

Mr. Squeaks is planning a surprise party to celebrate Imani’s Manufacture Date. He is working on decorations. He needs to figure out what to do with the leftovers by interpreting remainders in division word problems. In this interpreting remainders 4th grade lesson, we will see examples of how to answer a word problem with remainders based on what is being asked.

Interpreting the Remainders Word Problems

Division means we are putting items into equal groups. Sometimes when we divide, we have remainders, or leftovers, that can not be grouped equally. When we have a remainder in our quotient, we need to interpret it or determine what to do with the leftovers based on what the problem is asking. There are several ways to interpret a remainder in real-world situations. We can ignore it, use it, add it, or share it. 25428_SEO_Line11.svg

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Additional Interpreting Remainders Word Problems 4th Grade Practice

Following the video, there are exercises for interpreting remainders word problems and an interpreting remainders 4th grade worksheet for continued practice.

Transcript Interpreting Remainders

Mr. Squeaks is planning a surprise party to celebrate Imani’s Manufacture Date. He is working on decorations. Let's help Mr. Squeaks figure out what to do with the leftovers by... "Interpreting Remainders" Division means we are putting items into equal groups. Sometimes when we divide, we have remainders, or leftovers, that can not be grouped equally. When we have a remainder in our quotient, we need to interpret it or determine what to do with the leftovers based on what the problem is asking. There are several ways to interpret a remainder in real-world situations. We can ignore it, use it, add it, or share it. Let’s use the party supplies to look at each way of interpreting a remainder. M.r. Squeaks is making goody bags for the little robot guests. He has thirty treats to divide up into seven bags. How many treats will go into each bag? Let’s look at the word problem and highlight the important information. We know that there are thirty treats… we are dividing into seven bags..and the problem is asking us to find out how many treats go into each bag, so we will solve thirty divided by seven. Thirty divided by seven equals four with a remainder of two. To determine what we need to do with the remainder, let’s reread the question. How many treats will go into each bag? This tells us that we only need to know the equal groups, which is four and we would IGNORE the remainder. There are four treats in each goody bag. Mr. Squeaks is also going to hang up balloons around the burrow. There are seventy-two balloons in a bag and he wants to make bunches with seven balloons each. How many balloons will Mr. Squeaks have leftover? First, read the problem and highlight important information. There are seventy-two balloons and we are putting in bundles of seven. What is seventy-two divided by seven? Ten remainder two. Now, reread the question to determine how to interpret the remainder. How many balloons WILL NOT be used for the inside decorations? This tells us that we only need to know how many balloons are leftover, which is two... so he has two balloons remaining. All the guests need to wear party hats! They come in packs of six, and there's forty-five attendees. He needs a party hat for each. How many packs of hats does he need? Based on the information, What is the division problem we need to solve? Forty-five divided by six. What is forty-five divided by six? Seven remainder three. What does the problem say we need to find? How many packs of party hats he needs to get. Since there are three leftover and they come in packs of six, Mr. Squeaks would have to get an additional pack of party hats. In this problem, we would interpret the remainder by adding one to the quotient. Mr. Squeaks needs eight packs of party hats. Finally, Mr. Squeaks is going to hang up streamers around the four walls. The streamer roll measures eighty-five feet. How long is each piece of streamer for each wall?' Based on the information, what is the division problem we need to solve? Eighty-five divided by four. What is eighty-five divided by four? Twenty-one remainder one. What does the problem want us to find? How much of the streamers are on each wall. In this problem, the remainder, one, represents a material that can be further divided into parts, so... we write this remainder as a FRACTION. To write it as a fraction, we put the remainder, one, over the divisor, four, to show that each wall will also get one-fourth of the streamer. Mr. Squeaks will put twenty-one and one-fourth feet of streamers on each wall. While everyone waits for Imani, let's review. Remember… When solving real word division problems with remainders, we need to interpret remainders by identifying what the problem is asking. We can... ignore the remainder if the question asks for equal or whole amounts. Use the remainder as your answer if the question asks how much is left over. Add one to the quotient when the question asks for everything to be included. Or make the remainder a fraction when the quotient can be divided up into even smaller parts. "Shhh, Imani's coming." “SURPRISE!”