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Class-5Mathematics

Mathematics | Ways to Multiply and Divide

This topic teaches students ways to multiply and divide quickly and without errors

Introduction to CBSE Solutions for Class 5 Mathematics: Ways to Multiply and Divide

This pivotal chapter in the CBSE Class 5 Mathematics curriculum opens up new ways for students to view and solve multiplication and division problems. It moves beyond the basic multiplication tables and single-digit division to introduce more complex concepts such as multi-digit multiplication, long division, and word problems that involve these operations.

Students will learn shortcuts for multiplication, including using distributive properties and understanding patterns in numbers that can simplify calculations. For division, the chapter covers different strategies to divide larger numbers, such as by breaking them down into smaller, more manageable parts or using estimation to find the closest multiples.

The chapter is filled with examples and exercises that encourage students to practice these methods and understand when and how to apply them effectively. By exploring these varied ways to multiply and divide, students can improve their computational efficiency and problem-solving skills.

Assignments for CBSE Class 5 Mathematics: Ways to Multiply and Divide Students can enhance their understanding through assignments like:

  • Multiplication Grids: Fill in multiplication grids to find products of two-digit numbers and recognize patterns.
  • Division Stories: Create and solve word problems that involve multi-digit division.
  • Estimation Practice: Use estimation to find approximate answers to multiplication and division problems before calculating the exact answer.
  • Multiplication and Division Drills: Complete drills that include a mix of multi-digit multiplication and long division problems to build speed and accuracy.

Conclusion:

“Ways to Multiply and Divide” deepens students’ numerical abilities by exposing them to different techniques that make complex calculations more approachable. Mastery of these operations is not just a math skill but a life skill, enabling students to tackle everyday problems with confidence and ease. Through this chapter, students become more flexible in their mathematical thinking and ready to take on more advanced concepts.

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Questions and Answers for CBSE Class 5 Mathematics: Ways to Multiply and Divide

  • Q1: What is the distributive property in multiplication?
    ANS: The distributive property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
  • Q2: How can you multiply a number by 10?
    ANS: To multiply a number by 10, add a zero to the end of the number.
  • Q3: Describe one way to divide a two-digit number by a one-digit number.
    ANS: One way is to use long division, where you divide each digit of the two-digit number individually by the one-digit number and carry over any remainders to the next step.
  • Q4: If you multiply 23 by 4, what is the product?
    ANS: The product is 92.
  • Q5: What is a remainder in division?
    ANS: A remainder is the amount left over after division when the number cannot be divided evenly.
  • Q6: When dividing 125 by 5, what is the quotient?
    ANS: The quotient is 25.
  • Q7: How do you check if your division answer is correct?
    ANS: Multiply the quotient by the divisor and add the remainder if there is one. The result should be the original dividend.
  • Q8: Is it possible to divide a smaller number by a larger one?
    ANS: Yes, but the quotient will be less than one, and it is often expressed as a fraction or decimal.
  • Q9: How does multiplication help in division?
    ANS: Understanding multiplication helps you determine how many times the divisor fits into the dividend, which is the basis of division.
  • Q10: What are some multiplication patterns that can make solving problems easier?
    ANS: Some patterns include multiplying by multiples of 10 or recognizing that multiplying by 5 is half of multiplying by 10.

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