✖️➗ Multiplication and Division
Class 5 Maths · Unit 3 of 12 · about 120 minutes
This unit builds on the addition and subtraction of large numbers to introduce multiplication of 3-digit by 2-digit numbers and division by 1- and 2-digit numbers, including remainders. Students will learn to estimate and check answers, and apply these operations to solve real-life word problems. The unit lays the foundation for factors, multiples, and fractions in later units.
What your child will learn
- Students will be able to multiply a 3-digit number by a 2-digit number using the standard algorithm.
- Students will be able to divide a number by a 1-digit or 2-digit divisor, finding the quotient and remainder.
- Students will be able to check the answer to a multiplication or division using inverse operations.
- Students will be able to solve word problems involving multiplication and division, including those with remainders.
Lessons in this unit
- Multiplying 3-digit by 2-digit numbers: Use the standard algorithm to multiply a 3-digit number by a 2-digit number, breaking the 2-digit multiplier into tens and ones, and adding partial products.
- Dividing by 1-digit numbers: Divide 3-digit and 4-digit numbers by 1-digit divisors using long division, including remainders, and check with multiplication.
- Dividing by 2-digit numbers: Divide by 2-digit divisors using estimation to find quotient digits, with remainders, and check answers.
- Word problems with multiplication and division: Solve real-life word problems that require multiplication or division, including those with remainders that need interpreting (e.g., round up for buses, ignore remainder for full packets).
Key words
- product
- The answer you get when you multiply two numbers.
- quotient
- The answer you get when you divide.
- remainder
- What is left over after dividing when the number cannot be split evenly.
- estimate
- A close guess, not the exact answer.
- inverse operation
- The opposite operation that undoes it, like division undoes multiplication.
Help your child at home
What to watch for
- When multiplying by the tens digit, they forget to put a zero in the ones place of the second partial product.
- Help: Remind them: 234 × 10 = 2340, so the second partial product must end in 0.
- When there is a remainder, they write it as a decimal or fraction.
- Help: In this unit, we write the remainder as a whole number left over.
- They think the quotient digit is always the same as the first digit of the dividend.
- Help: Use estimation: how many times does the divisor go into the first part of the dividend?
- They always round up the remainder, even when the problem asks for full groups.
- Help: Read the question: if it asks 'how many full packets', ignore the remainder; if it asks 'how many buses', round up.
Try this at home
- 234 × 12 with partial products shown
- 789 ÷ 6 with remainder
- 672 ÷ 24
- Cost of 15 books at ₹125 each
Quick questions to ask aloud
- Multiply: 234 × 12
Show answer
234 × 2 = 468, 234 × 10 = 2340. Add them: 468 + 2340 = 2808. - Divide: 789 ÷ 6. Write your answer as quotient and remainder (e.g., 25 R1).
Show answer
131 R3. 6 goes into 7 once, remainder 1. Bring down 8: 18 ÷ 6 = 3. Bring down 9: 9 ÷ 6 = 1 remainder 3. So quotient 131, remainder 3. - Divide: 672 ÷ 24. Write the quotient.
Show answer
24 goes into 67 twice (24 × 2 = 48), remainder 19. Bring down 2: 192 ÷ 24 = 8. So quotient 28.
Frequently asked questions
What will my child learn in "Multiplication and Division" (Class 5 Maths)?
Your child will be able to: multiply a 3-digit number by a 2-digit number using the standard algorithm.; divide a number by a 1-digit or 2-digit divisor, finding the quotient and remainder.; check the answer to a multiplication or division using inverse operations.; solve word problems involving multiplication and division, including those with remainders..
How does MangoMindz teach "Multiplication and Division"?
In 4 short parts (Multiplying 3-digit by 2-digit numbers, Dividing by 1-digit numbers, Dividing by 2-digit numbers, Word problems with multiplication and division). Each part has a picture-based lesson read aloud by Mango Teacher, a quick check, and a quiz built from common mistakes children make, with Mango, a study buddy, for questions.
How long does "Multiplication and Division" take?
About 120 minutes in total, spread over 4 parts of 15–25 minutes each.
How can I help my child with "Multiplication and Division" at home?
Work through a small example together, such as: 234 × 12 with partial products shown; 789 ÷ 6 with remainder. Then ask a quick question aloud: Multiply: 234 × 12
What mistakes do children often make in "Multiplication and Division"?
When multiplying by the tens digit, they forget to put a zero in the ones place of the second partial product. Fix: Remind them: 234 × 10 = 2340, so the second partial product must end in 0. When there is a remainder, they write it as a decimal or fraction. Fix: In this unit, we write the remainder as a whole number left over. They think the quotient digit is always the same as the first digit of the dividend. Fix: Use estimation: how many times does the divisor go into the first part of the dividend?
Is "Multiplication and Division" free on MangoMindz?
Yes. Every lesson part and quiz in "Multiplication and Division" is free on MangoMindz, with no ads.