What is Dividing by 100?

S1-SA1-0140

Grade Level:

Class 4

Maths, Computing, Percentages, AI

Definition

What is it?

Dividing by 100 means splitting a number into 100 equal parts. It is also the same as finding one-hundredth (1/100) of a number. This operation makes the original number 100 times smaller.

Simple Example

Quick Example

Imagine you have a 500 Rupee note and you want to share it equally among 100 friends. Each friend would get 5 Rupees. So, 500 divided by 100 is 5.

Worked Example

Step-by-Step

Let's divide 725 by 100.
1. Write the number: 725.
2. In any whole number, the decimal point is imagined to be at the very end, to the right. So, 725 can be written as 725.00.
3. When you divide by 100, you move the decimal point two places to the left.
4. Starting from 725.00, move the decimal point one place left, it becomes 72.50.
5. Move it one more place left, it becomes 7.25.
6. So, 725 divided by 100 is 7.25.
Answer: 7.25

Why It Matters

Understanding division by 100 is key for working with percentages, which are used everywhere from calculating discounts to understanding exam scores. It's crucial for careers in finance, retail, and even data science, where you often need to scale numbers.

Common Mistakes

MISTAKE: Moving the decimal point to the right instead of the left. For example, 25 divided by 100 becomes 2500. | CORRECTION: When dividing by 100, the number gets smaller, so the decimal point must move to the LEFT.

MISTAKE: Moving the decimal point only one place instead of two. For example, 345 divided by 100 becomes 34.5. | CORRECTION: 100 has two zeros, so you must move the decimal point exactly TWO places to the left.

MISTAKE: Getting confused with numbers less than 100, like 50 divided by 100 becoming 0.500. | CORRECTION: The rule is the same: 50.00 becomes 0.50. Add leading zeros if needed to move the decimal point.

Practice Questions

Try It Yourself

QUESTION: What is 900 divided by 100? | ANSWER: 9

QUESTION: A shop offers a 200 Rupee discount on an item that costs 1000 Rupees. What percentage of the original price is the discount? (Hint: Divide the discount by the original price, then multiply by 100 to get percentage. This question uses division by 100 as a step). | ANSWER: 20%

QUESTION: If a car travels 450 km and uses 100 litres of petrol, how many kilometres does it travel per litre (km/L)? | ANSWER: 4.5 km/L

MCQ

Quick Quiz

Which of these is the correct result of dividing 1234 by 100?

1.234

12.34

123.4

123400

The Correct Answer Is:

When you divide by 100, you move the decimal point two places to the left. Starting with 1234 (or 1234.00), moving the decimal two places left gives 12.34.

Real World Connection

In the Real World

In India, when you see a '50% off' sale at your favourite clothing store, the shopkeeper divides the original price by 100 (and then multiplies by 50) to find the new price. Similarly, when calculating interest on a bank deposit, the annual interest rate is often divided by 100 to convert it into a decimal for calculations.

Key Vocabulary

Key Terms

DIVIDEND: The number being divided | DIVISOR: The number by which another number is divided (here, 100) | QUOTIENT: The result of a division | DECIMAL POINT: A point or dot used to separate the whole part of a number from the fractional part | PERCENTAGE: A rate, number, or amount in each hundred.

What's Next

What to Learn Next

Next, you should learn about 'What is Multiplying by 100?' This will help you see the inverse relationship between multiplication and division, and strengthen your understanding of how numbers change when scaled by powers of ten.