What is 1/10 (One Tenth)?

S1-SA2-0209

Grade Level:

Class 3

Maths, Decimals, Data Science, Percentages

Definition

What is it?

1/10 (One Tenth) means dividing something into 10 equal parts and taking just one of those parts. It is a fraction that represents one out of ten portions of a whole. You can also write it as a decimal, which is 0.1.

Simple Example

Quick Example

Imagine you have a delicious chocolate bar, and you want to share it equally with 9 friends, making 10 people in total. If you break the chocolate bar into 10 equal pieces, each piece is 1/10 (one tenth) of the whole chocolate bar. So, you and each of your friends get one tenth of the chocolate.

Worked Example

Step-by-Step

Let's find 1/10 of 50 ladoos.

1. Understand the problem: We need to divide 50 ladoos into 10 equal groups and find out how many ladoos are in one group.
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2. Write the fraction: 1/10 of 50.
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3. Multiply the fraction by the total number: (1/10) * 50.
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4. This is the same as dividing 50 by 10: 50 / 10.
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5. Perform the division: 50 ÷ 10 = 5.
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6. Answer: 1/10 of 50 ladoos is 5 ladoos.

Why It Matters

Understanding 1/10 is crucial for working with decimals, percentages, and data. It helps you understand money, measurements, and proportions in everyday life. Careers like data analysts, engineers, and shopkeepers use these concepts constantly.

Common Mistakes

MISTAKE: Thinking 1/10 means 1 divided by 1, then multiplying by 10. | CORRECTION: 1/10 means 1 divided by 10. The '10' in the denominator tells you the total number of equal parts.

MISTAKE: Confusing 1/10 with 10/1 or 1/100. | CORRECTION: 1/10 is one part out of ten. 10/1 is ten whole parts, and 1/100 is one part out of one hundred.

MISTAKE: Believing 0.1 is a very large number. | CORRECTION: 0.1 is a small part of a whole, specifically one tenth. It's much smaller than 1.

Practice Questions

Try It Yourself

QUESTION: What is 1/10 of 70 rupees? | ANSWER: 7 rupees

QUESTION: If a cricket match has 50 overs, and one bowler bowls 1/10 of the overs, how many overs did that bowler bowl? | ANSWER: 5 overs

QUESTION: A 100-meter track is marked into 10 equal sections. If you run 1/10 of the track, and then another 1/10 of the track, how many meters have you run in total? | ANSWER: 20 meters

MCQ

Quick Quiz

Which of these is another way to write 1/10?

0.1

0.01

The Correct Answer Is:

0.1 is the decimal representation of one tenth. 10.0 is ten, 1.0 is one, and 0.01 is one hundredth.

Real World Connection

In the Real World

When you buy groceries, sometimes discounts are given as a fraction, like '1/10 off the price'. Or, if you're checking your mobile data usage, you might see that you've used 0.1 GB of your 1 GB plan, which means you've used one tenth of your total data.

Key Vocabulary

Key Terms

FRACTION: A way to show a part of a whole, like 1/10 | NUMERATOR: The top number in a fraction (here, 1), showing how many parts you have | DENOMINATOR: The bottom number in a fraction (here, 10), showing the total number of equal parts | DECIMAL: Another way to write fractions using a point, like 0.1 | WHOLE: The entire amount or object before it's divided

What's Next

What to Learn Next

Great job understanding 1/10! Next, you should explore 'What is 1/100 (One Hundredth)?' This will help you understand even smaller parts of a whole and build your knowledge of decimals and percentages.