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Lesson ⁦4-2⁩: Estimate Quotients

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 estimate quotients using compatible numbers, which are numbers close to the given ones that are easy to divide mentally. This helps them know how many digits the quotient has and check it.

  • Estimates quotients using compatible numbers
  • Estimates quotients using rounding
  • Uses estimation to check whether a quotient is reasonable

💡 Tip: Choose a number close to the dividend that divides evenly by the divisor using a fact you know: 418 ÷ 7 becomes 420 ÷ 7 = 60.

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Worked examples from the Estimate Quotients lesson questions

Which of the following uses compatible numbers to estimate 278 ÷ 4?
  • 280 ÷ 4
  • 270 ÷ 4
  • 290 ÷ 4
  • 250 ÷ 4
✓ 280 ÷ 4
278 is close to 280, and 28 ÷ 4 = 7 is a basic fact, so 280 and 4 are compatible numbers, and the estimate is 70.
Estimate 418 ÷ 7.
  • 60
  • 6
  • 600
  • 70
✓ 60
418 is close to 420, and 42 ÷ 7 = 6, so 420 ÷ 7 = 60.
Show more examples (3)
Estimate 3,215 ÷ 8.
  • 400
  • 40
  • 4,000
  • 300
✓ 400
3,215 is close to 3,200, and 32 ÷ 8 = 4, so 3,200 ÷ 8 = 400.
Estimate 538 ÷ 9.
  • 60
  • 50
  • 600
  • 70
✓ 60
538 is close to 540, and 54 ÷ 9 = 6, so 540 ÷ 9 = 60.
A school library has 1,786 books shared about equally among 9 shelves. Estimate the number of books on each shelf.
  • 200
  • 20
  • 2,000
  • 180
✓ 200
1,786 is close to 1,800, and 18 ÷ 9 = 2, so 1,800 ÷ 9 = about 200 books.

FAQ about the Estimate Quotients lesson

What are compatible numbers?

Numbers that are easy to divide mentally because they are linked to basic division facts. To estimate 278 ÷ 4, we use 280 ÷ 4 = 70.

How do I estimate 3,215 ÷ 8?

Choose a nearby compatible number, 3,200: 3,200 ÷ 8 = 400, so the quotient is about 400.

How do I study the lesson Estimate Quotients 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 ⁦4-3⁩ Divide by a One-Digit Number ⁦4-4⁩ Divide by a Two-Digit Number ⁦4-5⁩ Problem-Solving Strategy: Model the Data ⁦4-6⁩ Interpret Remainders All Math Fifth Grade, Primary lessons →
← ⁦4-1⁩ Division Patterns ⁦4-3⁩ Divide by a One-Digit Number →