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Intro to Remainders in a Division Problem
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What you will learn from this videoWhat you will learn
- We’ll learn what a remainder is in a division problem.
- We'll also learn how to interpret the remainder in a division problem.
- And we'll discover that understanding a remainder can help us plan a field trip, display trophies, and share treats with dogs!
- Discussion Questions
Before Video
If you want to evenly distribute 32 books onto 4 shelves, how many books are on each shelf?ANSWER32 ÷ 4 = 8. There are 8 books on each shelf.
45 ÷ 9 = 5. I have 5 rows.
1 ÷ 4 = [ggfrac]1/4[/ggfrac], so each person gets [ggfrac]1/4[/ggfrac] of the pizza.
2 ÷ 4 = [ggfrac]2/4[/ggfrac] = [ggfrac]1/2[/ggfrac], so each person gets [ggfrac]1/2[/ggfrac] of a pizza.
I cannot divide evenly.
After Video
Is there a remainder when you divide 15 ÷ 3? 15 ÷ 4?ANSWER15 ÷ 3 = 5. There is no remainder. 15 ÷ 4 = 3 R 3.
I want to ask, 5 times what is equal to 34? 5 × 6 = 30 and 5 × 7 = 35, so I know that I have a remainder when I divide 34 ÷ 5. If I want to distribute 34 objects evenly into 5 groups, I now know that I can put 6 objects into each group, and then I have 4 left that cannot be distributed. The answer is 6 with a remainder of 4.
30 ÷ 4 = 7 R 2. I can make 7 dresses, and I have 2 meters of fabric leftover. Maybe I can make a shirt!
46 ÷ 10 = 4 R 6. I can fill 4 boxes and then I have 6 apples leftover. I still need a box for those apples, although it will not be full. I need 5 boxes in total.
7 ÷ 3 = 2 R 1. Each person gets 2 bowls of soup, and then there is one bowl left to be shared. The contents of one bowl can be divided by 3, and 1 ÷ 3 = [ggfrac]1/3[/ggfrac]. So in total, each person gets 2[ggfrac]1/3[/ggfrac] bowls of soup. Then there is no remainder left!
- Vocabulary
- Divide DEFINE
To split something up into equal groups.
- Dividend DEFINE
The number being divided.
- Divisor DEFINE
The dividing number.
- Quotient DEFINE
The result of dividing.
- Multiply DEFINE
To add together equal groups.
- Remainder DEFINE
The amount that is left over after something is divided into equal groups.
- Fraction DEFINE
A number that represents parts of a whole.
- Round up DEFINE
When our answer is between two whole numbers and it makes more sense to use the greater number.
- Round down DEFINE
When our answer is between two whole numbers and it makes more sense to use the smaller number.
- Divide DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide