What is Dividing by 10?

S1-SA1-0139

Grade Level:

Class 3

Maths, Computing, Place Value, AI

Definition

What is it?

Dividing by 10 means splitting a number into 10 equal parts. When you divide a whole number by 10, the digits shift one place to the right, and the last digit becomes the remainder, or it moves after the decimal point.

Simple Example

Quick Example

Imagine you have 70 ladoos and you want to share them equally among 10 friends. Each friend will get 7 ladoos. So, 70 divided by 10 is 7.

Worked Example

Step-by-Step

Let's divide 230 by 10.

Step 1: Write down the number: 230.
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Step 2: When dividing by 10, a quick trick for whole numbers ending in zero is to remove the last zero. The number 230 ends in a zero.
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Step 3: Remove the last zero from 230. This leaves us with 23.
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Step 4: So, 230 divided by 10 is 23.

Answer: 23

Why It Matters

Understanding division by 10 is crucial for everyday calculations, from managing money to understanding data. It's a fundamental skill used in computing for scaling numbers, and in AI, it helps process large datasets efficiently. Many careers, like finance managers or data analysts, use this concept constantly.

Common Mistakes

MISTAKE: Removing a zero even if the number doesn't end in zero (e.g., saying 23 divided by 10 is 2). | CORRECTION: Only remove a zero if the number is a multiple of 10 (ends in 0). Otherwise, the decimal point shifts.

MISTAKE: Thinking that dividing by 10 always makes the number much smaller, without understanding place value shift. | CORRECTION: Remember that dividing by 10 shifts each digit one place to the right, making the number one-tenth of its original value.

MISTAKE: Confusing division by 10 with multiplication by 10. | CORRECTION: Division by 10 makes a number smaller (or moves the decimal left), while multiplication by 10 makes it larger (or moves the decimal right).

Practice Questions

Try It Yourself

QUESTION: What is 50 divided by 10? | ANSWER: 5

QUESTION: If a bus ticket costs ₹100 and 10 friends share the total cost, how much does each friend pay? | ANSWER: ₹10

QUESTION: A farmer has 450 kg of wheat. He wants to pack it into bags that each hold 10 kg. How many bags does he need? | ANSWER: 45 bags

MCQ

Quick Quiz

Which of these is the correct result of 160 ÷ 10?

1600

1.6

The Correct Answer Is:

When you divide 160 by 10, you remove the last zero, which gives you 16. Options A, C, and D are incorrect because they either multiply by 10, shift the decimal incorrectly, or are unrelated.

Real World Connection

In the Real World

When you check your mobile data usage, if you see you used 500 MB and want to know how many 10 MB chunks that is, you divide 500 by 10. Or when a shopkeeper calculates the price per item if a pack of 10 biscuits costs ₹80, they divide 80 by 10 to find the cost of one biscuit.

Key Vocabulary

Key Terms

DIVIDE: To split into equal parts | QUOTIENT: The answer to a division problem | PLACE VALUE: The value of a digit based on its position in a number | DECIMAL POINT: A dot used to separate the whole number part from the fractional part of a number

What's Next

What to Learn Next

Now that you understand dividing by 10, try learning about dividing by 100 and 1000. These concepts build directly on what you've learned and will help you handle even larger numbers with ease!