What is Dividing by 1?

S1-SA1-0137

Grade Level:

Class 3

Maths, Computing, AI

Definition

What is it?

Dividing any number by 1 means splitting that number into groups of one. When you divide a number by 1, the answer is always the same number you started with. It's like having a pile of items and giving each person just one item; you'll need as many people as there are items.

Simple Example

Quick Example

Imagine you have 7 ladoos in a box. If you want to give 1 ladoo to each friend, how many friends can get a ladoo? You can give a ladoo to 7 friends. So, 7 divided by 1 is 7.

Worked Example

Step-by-Step

Let's divide 15 by 1.
1. We start with the number 15.
2. We want to divide it into groups where each group has 1 item.
3. How many groups of 1 can you make from 15 items?
4. You can make 15 groups, with each group having exactly 1 item.
5. So, 15 ÷ 1 = 15.
Answer: 15

Why It Matters

Understanding division by 1 is a fundamental building block for more complex math, which is key in computing and AI. Programmers use this logic in algorithms, and data scientists use it when scaling data. It’s also important for careers in engineering, finance, and even game development.

Common Mistakes

MISTAKE: Thinking that dividing by 1 makes the number smaller or zero. | CORRECTION: Remember, dividing by 1 means you are keeping the original quantity whole, just seeing how many 'single' parts it contains, so the number stays the same.

MISTAKE: Confusing division by 1 with division by 0 (which is undefined). | CORRECTION: Division by 1 always gives the original number. Division by 0 is a special case that we cannot do in math.

MISTAKE: Forgetting that the rule applies to any number, big or small. | CORRECTION: Whether it's 5 ÷ 1 or 500 ÷ 1, the answer will always be 5 and 500 respectively.

Practice Questions

Try It Yourself

QUESTION: What is 9 divided by 1? | ANSWER: 9

QUESTION: A cricket team scored 125 runs. If each run is counted as 1 point, how many points did they score? (Hint: Think of points divided by 1). | ANSWER: 125

QUESTION: You have a pack of 24 coloured pencils. If you put them into boxes, with 1 pencil in each box, how many boxes will you need? | ANSWER: 24

MCQ

Quick Quiz

Which of the following statements is true?

10 ÷ 1 = 1

10 ÷ 1 = 0

10 ÷ 1 = 10

10 ÷ 1 is undefined

The Correct Answer Is:

When you divide any number by 1, the answer is always the number itself. So, 10 divided by 1 is 10.

Real World Connection

In the Real World

Imagine you are tracking your daily steps on a fitness app. If the app calculates your total steps and shows them as 'steps per 1 day', it's essentially dividing your total steps by 1 to show the daily count. Or, if you're buying a single item on a shopping app like Flipkart or Amazon, the price per item is just the item's price divided by 1.

Key Vocabulary

Key Terms

DIVIDEND: The number being divided | DIVISOR: The number by which another number is divided (here, it's 1) | QUOTIENT: The result of division | IDENTITY PROPERTY OF DIVISION: The rule that any number divided by 1 is itself

What's Next

What to Learn Next

Great job understanding division by 1! Next, you can explore 'What is Multiplying by 1?'. It's another important concept that will help you build a strong foundation in arithmetic and understand how numbers behave.