What is 72 ÷ 9?

S1-SA1-1093

Grade Level:

Class 3

Maths, Computing, AI

Definition

What is it?

72 ÷ 9 means dividing the number 72 into 9 equal parts. It asks how many times the number 9 fits into 72.

Simple Example

Quick Example

Imagine you have 72 ladoos to share equally among your 9 friends. To find out how many ladoos each friend gets, you would calculate 72 ÷ 9.

Worked Example

Step-by-Step

Let's find the answer to 72 ÷ 9.
1. We need to find a number that, when multiplied by 9, gives us 72.
---
2. Let's start recalling the multiplication table of 9.
---
3. 9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
9 x 5 = 45
9 x 6 = 54
9 x 7 = 63
9 x 8 = 72
---
4. We found that 9 multiplied by 8 is 72.
---
5. So, 72 ÷ 9 = 8.
---
Answer: 8

Why It Matters

Understanding division is super important for everyday calculations and advanced fields. In computing, it helps in distributing tasks or data. In AI, it's used in algorithms for fair resource allocation. Even a data scientist needs strong division skills to analyze datasets!

Common Mistakes

MISTAKE: Confusing division with subtraction (e.g., thinking 72 ÷ 9 means 72 - 9). | CORRECTION: Remember division is about splitting into equal groups or finding how many times one number fits into another, not just taking away.

MISTAKE: Not knowing multiplication tables well, leading to incorrect answers. | CORRECTION: Practice your multiplication tables regularly, especially for numbers up to 10 or 12. Division is the inverse of multiplication.

MISTAKE: Writing the numbers in the wrong order (e.g., 9 ÷ 72 instead of 72 ÷ 9). | CORRECTION: The first number is the total being divided (dividend), and the second is the number of groups or the size of each group (divisor).

Practice Questions

Try It Yourself

QUESTION: If you have 48 crayons and want to put them equally into 6 boxes, how many crayons will be in each box? | ANSWER: 8 crayons

QUESTION: A bus can carry 9 passengers. How many buses are needed to carry 81 passengers? | ANSWER: 9 buses

QUESTION: Your mom bought 6 packets of biscuits, with 12 biscuits in each packet. If she wants to share all the biscuits equally among 8 relatives, how many biscuits will each relative get? (Hint: First find the total biscuits.) | ANSWER: 9 biscuits

MCQ

Quick Quiz

Which of the following multiplication facts helps you solve 72 ÷ 9?

9 x 7 = 63

9 x 8 = 72

8 x 7 = 56

72 x 1 = 72

The Correct Answer Is:

The correct answer is B because division is the inverse of multiplication. To find 72 ÷ 9, we look for a number that, when multiplied by 9, gives 72. That number is 8, as 9 x 8 = 72.

Real World Connection

In the Real World

When your family plans a trip and needs to divide the total cost of an auto-rickshaw fare among 3 people, you're doing division. Or, if a shopkeeper has 72 pens and wants to make packs of 9 pens each, they use division to know how many packs they can make.

Key Vocabulary

Key Terms

Dividend: The number being divided (72 in this case) | Divisor: The number by which another number is divided (9 in this case) | Quotient: The result of division (8 in this case) | Multiplication Tables: A list of multiples of a number, essential for division | Equal Sharing: Distributing items so each part has the same amount

What's Next

What to Learn Next

Great job understanding basic division! Next, you can learn about division with remainders, where numbers don't divide perfectly. This will help you solve more complex problems, like splitting things when there are a few left over.