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What is the Divisor (simple quantity)?
Grade Level:
Pre-School – Class 2
All domains without exception
Definition
What is it?
In a division problem, the Divisor is the number that divides another number. It tells us into how many equal parts we are splitting the main quantity. Think of it as the 'splitter' in division.
Simple Example
Quick Example
Imagine you have 10 ladoos and you want to share them equally among 2 friends. Here, 10 is the total number of ladoos, and 2 is the number of friends you are sharing with. The '2' is the Divisor because it's the number you are dividing by.
Worked Example
Step-by-Step
Let's divide 15 chocolates equally among 3 children.
Step 1: Identify the total number of chocolates. We have 15 chocolates.
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Step 2: Identify the number of children among whom we are dividing. We are dividing among 3 children.
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Step 3: Set up the division problem: Total chocolates ÷ Number of children.
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Step 4: Write it as 15 ÷ 3.
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Step 5: In this problem, the number '3' is doing the dividing. So, 3 is the Divisor.
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Answer: The Divisor in this problem is 3.
Why It Matters
Understanding the Divisor is key to solving any division problem, which is a basic skill in maths. It helps you understand how things are distributed or grouped. Engineers use it to divide resources, and business owners use it to split profits or costs among partners.
Common Mistakes
MISTAKE: Confusing the Divisor with the Dividend. Students sometimes think the larger number is always the Divisor. | CORRECTION: The Divisor is always the number that 'does the dividing', regardless of its size compared to the Dividend.
MISTAKE: Thinking the answer to a division problem (the quotient) is the Divisor. | CORRECTION: The Divisor is the number you divide BY, not the result of the division.
MISTAKE: Not understanding that the Divisor represents the number of groups or the size of each group. | CORRECTION: Always remember the Divisor tells you 'how many groups' or 'how many items in each group' you are aiming for.
Practice Questions
Try It Yourself
QUESTION: In the division 24 ÷ 6 = 4, which number is the Divisor? | ANSWER: 6
QUESTION: A bus has 50 seats. If 5 people can sit in one row, how many rows are there? Identify the Divisor in this problem. | ANSWER: The Divisor is 5.
QUESTION: You have 75 rupees and want to buy pens that cost 15 rupees each. To find out how many pens you can buy, you perform division. What is the Divisor in this calculation? | ANSWER: 15
MCQ
Quick Quiz
Which number is the Divisor in the expression 45 ÷ 9?
45
9
5
Both A and B
The Correct Answer Is:
B
The Divisor is the number by which another number is divided. In 45 ÷ 9, 9 is the number doing the dividing. 45 is the Dividend, and 5 is the Quotient.
Real World Connection
In the Real World
When a family calculates how much electricity bill each member needs to pay if they split it equally, the number of members is the Divisor. Similarly, when a chef divides a large batch of biryani into smaller portions for delivery, the number of portions is the Divisor.
Key Vocabulary
Key Terms
DIVISION: The process of splitting a number into equal parts | DIVIDEND: The number being divided | QUOTIENT: The result of a division problem | REMAINDER: The amount left over when a number cannot be divided exactly
What's Next
What to Learn Next
Now that you understand the Divisor, you can learn about the Dividend and Quotient. These concepts work together to help you master all types of division problems, making you a pro at sharing and grouping!
