Class 5 >> Math >> numbers >> numbers-and-operations >> practice-standard-division-algorithms-for-real-world-problems
Skip to Practice

practice-standard-division-algorithms-for-real-world-problems

🚀 Division is one of the four basic operations in mathematics, and it involves splitting a number into equal parts. In real-world problems, we often need to divide quantities to find out how many groups we can make or how much each group will receive. Understanding division algorithms helps us solve these problems efficiently. For example, if you have 24 apples and want to divide them among 6 friends, you can use division to find out how many apples each friend gets.

Theory Explanation

Understanding Division

Division is the process of determining how many times one number is contained within another. It can be thought of as sharing or grouping. For example, dividing 12 by 3 means finding out how many groups of 3 can be made from 12.

\[ 12 \div 3 = 4 \]
Using Division in Real-World Problems

When faced with a real-world problem, identify the total quantity and the number of groups you want to divide it into. Use the division operation to find out how many items will be in each group or how many groups can be formed.

Checking Your Work

After performing division, you can check your work by multiplying the quotient (the result of the division) by the divisor (the number you divided by) to see if you get back to the original number.

\[ \text{If } 12 \div 3 = 4, \text{ then } 4 \times 3 = 12. \]

Key Points

  • 🎯 Division is the process of splitting a number into equal parts.
  • 🎯 The number being divided is called the dividend, and the number you divide by is called the divisor.
  • 🎯 The result of division is called the quotient.
  • 🎯 In real-world problems, division helps us find out how many groups can be made or how much each group gets.
  • 🎯 Always check your work by reversing the operation with multiplication.

Examples:💡

If you have 30 candies and want to share them equally among 5 friends, how many candies does each friend get?

Solution:

Step 1: Identify the total number of candies (30) and the number of friends (5).

Step 2: Perform the division: 30 ÷ 5 = 6.

Step 3: Each friend gets 6 candies.

A farmer has 48 eggs and wants to pack them into boxes of 12 eggs each. How many boxes can he fill?

Solution:

Step 1: Identify the total number of eggs (48) and the number of eggs per box (12).

Step 2: Perform the division: 48 ÷ 12 = 4.

Step 3: The farmer can fill 4 boxes.

Common Mistakes

  • Mistake: Confusing the dividend and divisor when setting up the division problem.

    Correction: Always remember that the dividend is the number you are dividing, and the divisor is the number you are dividing by.

  • Mistake: Forgetting to check the answer after performing the division.

    Correction: Always multiply the quotient by the divisor to ensure it equals the dividend.

← Back Start Practice