Remainders in Real Life: Estimation & Significance for 4th Grade

A farmer has 245 apples and wants to pack them into boxes of 10. How many full boxes can he pack, and how many apples will be left over? Explain the significance of the remainder.

• 25 full boxes and 0 apples left over

• 23 full boxes and 7 apples left over

• 24 full boxes and 5 apples left over

• 24 full boxes and 10 apples left over

A school has 312 pencils and wants to distribute them equally among 8 classrooms. How many pencils will each classroom receive, and how many will be left over? What does the remainder tell us about the distribution?

• Each classroom receives 41 pencils, and there are 1 pencil left over.

• Each classroom receives 38 pencils, and there are 4 pencils left over.

• Each classroom receives 40 pencils, and there are 2 pencils left over.

• Each classroom receives 39 pencils, and there are 0 pencils left over.

A baker made 456 cookies and wants to put them into bags of 12. How many full bags can he fill, and how many cookies will remain? Why is it important to know the remainder in this situation?

• 38 full bags, 0 cookies remain

• 37 full bags, 2 cookies remain

• 38 full bags, 4 cookies remain

• 39 full bags, 3 cookies remain

A library has 678 books and wants to arrange them on shelves that hold 50 books each. How many shelves will be completely filled, and how many books will be left over? Discuss the importance of the remainder in this context.

• 12 shelves completely filled, 38 books left over

• 15 shelves completely filled, 8 books left over

• 14 shelves completely filled, 18 books left over

• 13 shelves completely filled, 28 books left over

A toy store has 523 toys and wants to create sets of 15 toys each for a sale. How many complete sets can they make, and how many toys will be left? How can the remainder help in planning the sale?

• 30 complete sets and 18 toys left.

• 35 complete sets and 8 toys left.

• 34 complete sets and 13 toys left.

• 32 complete sets and 23 toys left.

A concert hall has 789 seats and sells tickets in groups of 20. How many full groups of tickets can be sold, and how many seats will remain empty? Explain the significance of the remainder in this scenario.

• 40 full groups can be sold, and 8 seats will remain empty.

• 39 full groups can be sold, and 9 seats will remain empty.

• 37 full groups can be sold, and 13 seats will remain empty.

• 38 full groups can be sold, and 11 seats will remain empty.

A gardener has 345 flowers and wants to plant them in rows of 25. How many full rows can he plant, and how many flowers will be left over? Why is it useful to know the remainder?

• 14 full rows and 15 flowers left over

• 12 full rows and 25 flowers left over

• 10 full rows and 45 flowers left over

• 13 full rows and 20 flowers left over

A factory produces 432 toys and packs them in boxes of 30. How many full boxes can be packed, and how many toys will be left? What does the remainder indicate about the production?

• 15 full boxes and 3 toys left.

• 14 full boxes and 12 toys left.

• 14 full boxes and 6 toys left.

• 13 full boxes and 18 toys left.

A teacher has 564 markers and wants to give them out in packs of 18 to her students. How many full packs can she give, and how many markers will be left? Discuss the relevance of the remainder in this situation.

• 30 full packs and 14 markers left

• 32 full packs and 2 markers left

• 31 full packs and 6 markers left.

• 28 full packs and 18 markers left

A sports team has 875 water bottles and wants to distribute them equally among 40 players. How many bottles will each player receive, and how many will be left over? What does the remainder signify in this distribution?

• Each player receives 21 bottles, and 35 bottles are left over.

• Each player receives 21 bottles, and 50 bottles are left over.

• Each player receives 22 bottles, and 15 bottles are left over.

• Each player receives 20 bottles, and 75 bottles are left over.