Understanding Remainders in Division Word Problems

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What is the purpose of finding the remainder in a division problem?

To identify the leftover amount that cannot be separated equally

In the example of sharing pencils, what would be the remainder if 9 pencils were divided among 3 friends?

2 pencils

If Amber wants to share her 25 cookies among 6 friends, what would be the remainder?

1 cookie

In the field trip to the zoo, why do 8 buses need to be rented?

Because 7 buses can only carry 49 students

What is the main reason for considering the remainder in real-world problems?

To account for leftover amounts

Study Notes

Understanding Remainders in Division Word Problems

  • A remainder is a leftover amount that cannot be separated equally into one of the parts in a division problem.
  • In a division problem, the remainder is the amount left over after dividing a group into equal parts.

Example: Sharing Pencils

  • If you have 7 pencils and want to divide them equally among 2 friends, each friend would get 3 pencils, with 1 pencil remaining as a remainder.

Example: Sharing Cookies

  • Amber baked 25 cookies and wants to share them equally among 4 friends.
  • Each friend would get 6 cookies, with 1 cookie remaining as a remainder.

Example: Field Trip to the Zoo

  • 52 students are going on a field trip to the zoo, and each bus can carry 7 students.
  • 52 divided by 7 is 7 remainder 3, so 7 buses would be needed, but 3 students would be left behind.
  • To ensure each student has a seat, the remainder of 3 needs to be rounded up, so 8 buses are needed in total.

Understanding Remainders in Division Word Problems

  • A remainder is the leftover amount that cannot be divided equally into parts in a division problem.

Sharing Items Equally

  • When dividing items into equal parts, the remainder is the amount left over.
  • Example: 7 pencils divided among 2 friends results in 3 pencils each and a remainder of 1 pencil.

Real-World Applications

  • Example: Amber divides 25 cookies among 4 friends, resulting in 6 cookies each and a remainder of 1 cookie.
  • Example: 52 students going on a field trip to the zoo, with each bus carrying 7 students, results in a remainder of 3 students left behind.
  • To ensure each student has a seat, the remainder of 3 is rounded up, requiring a total of 8 buses.

Learn about remainders in division word problems with examples on sharing pencils and cookies. Discover how to calculate the leftover amount in equal parts.

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