Mathematics · Class 5
Ways to Multiply and Divide
Learn Ways to Multiply and Divide with notes, examples, and practice questions.
3 sections15–25 min read3 MCQs · 1 examples
Chapter Overview
Division can be checked using divisor × quotient + remainder = dividend.
Ways to Multiply and Divide develops efficient written and mental strategies for larger numbers. Learners use place-value partitioning, standard algorithms, estimation, and the multiplication-division relationship.
Multiplication Strategies
- Partition by place value, such as 34 × 6 = 30 × 6 + 4 × 6.
- Multiply by 10, 100, or 1000 using place value shifts.
- For two-digit factors, combine partial products.
- Estimate by rounding to check the product's size.
Division Strategies
- Use known multiples of the divisor to find quotient digits.
- Carry any remainder into the next place-value step.
- A remainder must be less than the divisor.
- Interpret whether a remainder is left over or requires rounding up.
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Divide a Large Number
Divide 1,248 by 6.
- 16 goes into 12 twice, leaving 0.
- 2Bring down 4; 6 goes into 4 zero times, so write 0.
- 3Bring down 8 to make 48; 48 ÷ 6 = 8.
- 4The quotient is 208.
Answer
208
Key Points to Remember
- ✓ Partitioning explains multiplication
- ✓ Partial products must keep place value
- ✓ Division undoes multiplication
- ✓ Estimate and use the inverse to check
Exam Tips
- • Write zero in a quotient place when needed
- • Keep columns aligned
- • Ensure any remainder is smaller than the divisor
Practice MCQs — Ways to Multiply and Divide
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 3Score: 0/0
What is 48 × 25?