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Lesson ⁦4-6⁩: Interpret Remainders

Math · Fifth Grade, Primary · Unit 4: Division · First Semester

A 10-question quiz; after every question you'll see the right answer with an explanation.
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What will you learn in this lesson?

Students learn that the meaning of a remainder changes depending on the situation: we may drop it, add one to the quotient, or the remainder itself may be the answer. Understanding remainders prevents answers that don't make sense.

  • Interprets the remainder in the context of the problem
  • Decides when to drop the remainder and when to round the quotient up to the next whole number
  • Determines when the remainder is the required answer

💡 Tip: Read the question carefully before answering: "how many cars do we need" means adding one to the quotient, and "how many full plates" means dropping the remainder.

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Worked examples from the Interpret Remainders lesson questions

50 students are going on a school trip, and each car holds 8 students. How many cars do we need to take all the students?
  • 7
  • 6
  • 2
  • 8
✓ 7
50 ÷ 8 = 6 remainder 2, and the 2 remaining students need another car, so we need 6 + 1 = 7 cars.
A seller has 45 eggs that he packs into trays, and each tray holds 6 eggs. How many full trays can he fill?
  • 7
  • 8
  • 3
  • 6
✓ 7
45 ÷ 6 = 7 remainder 3, and the question asks only about full trays, so we ignore the remainder and the answer is 7 trays.
Show more examples (3)
A teacher shared 38 pens equally among 5 students, giving each student as many as possible. How many pens did the teacher have left?
  • 3
  • 7
  • 8
  • 5
✓ 3
38 ÷ 5 = 7 remainder 3, and the question asks about the leftover pens, so the answer is the remainder, 3.
Mansour has 100 riyals, and one storybook costs 15 riyals. What is the greatest number of storybooks he can buy?
  • 6
  • 7
  • 10
  • 5
✓ 6
100 ÷ 15 = 6 remainder 10, and the 10 riyals are not enough for another storybook, so he buys only 6 storybooks.
A party has 125 guests, and each table seats 10 people. How many tables do we need so that all the guests can sit?
  • 13
  • 12
  • 5
  • 15
✓ 13
125 ÷ 10 = 12 remainder 5, and the 5 remaining guests need another table, so we need 13 tables.

FAQ about the Interpret Remainders lesson

There are 50 students and each car holds 8. How many cars do we need?

50 ÷ 8 = 6 remainder 2. The two remaining students also need a car, so we need 7 cars.

When is the remainder the answer?

When the question asks about the amount left over after sharing. Example: sharing 38 pencils equally among 5 students: 38 ÷ 5 = 7 remainder 3, so the teacher has 3 pencils left.

How do I study the lesson Interpret Remainders and test myself on it?

Start the lesson quiz on Study with Ghada: 10 questions from the Math Fifth Grade, Primary question bank. After each answer you'll see the right answer with an explanation, and any questions you miss move to “Review my mistakes” until you master them.

Are Study with Ghada quizzes free and aligned with the curriculum?

Yes, completely free. They're built on the Math - Grade 5 - Semester 1 lessons in the same order as the book, and every question is reviewed and approved by a teacher before students see it.

Unit 4 lessons: Division

⁦4-1⁩ Division Patterns ⁦4-2⁩ Estimate Quotients ⁦4-3⁩ Divide by a One-Digit Number ⁦4-4⁩ Divide by a Two-Digit Number ⁦4-5⁩ Problem-Solving Strategy: Model the Data All Math Fifth Grade, Primary lessons →
← ⁦4-5⁩ Problem-Solving Strategy: Model the Data ⁦5-1⁩ Addition and Subtraction Expressions →