What is 1/5 as a Decimal?

S1-SA2-0270

Grade Level:

Class 5

Maths, Finance, Computing, AI

Definition

What is it?

To express 1/5 as a decimal means to convert this fraction into a number that uses a decimal point. This shows parts of a whole number, where each digit after the decimal point represents a power of 10.

Simple Example

Quick Example

Imagine you have a delicious gulab jamun, and you want to share it equally among 5 friends. Each friend gets 1/5 of the gulab jamun. If you were to measure this on a scale, 1/5 of the gulab jamun would be 0.2 of the whole.

Worked Example

Step-by-Step

Let's convert 1/5 into a decimal step-by-step:

Step 1: Remember that a fraction (like 1/5) means division. The top number (numerator) is divided by the bottom number (denominator).
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Step 2: So, 1/5 means 1 divided by 5.
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Step 3: Set up the division: 1 ÷ 5.
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Step 4: Since 1 is smaller than 5, we put a '0' in the quotient and a decimal point after it. Add a '0' to the 1, making it 10.
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Step 5: Now, divide 10 by 5. 5 goes into 10 two times (5 x 2 = 10).
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Step 6: Write '2' after the decimal point in the quotient.
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Step 7: The division is complete, and there's no remainder.
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Answer: So, 1/5 as a decimal is 0.2.

Why It Matters

Understanding decimals helps you handle money, measure things, and understand data. In finance, you see decimals for rupees and paise; in computing, they're used in calculations, and even AI models use decimals for probability. Knowing this helps you for jobs in banking, data science, or even game development!

Common Mistakes

MISTAKE: Dividing the denominator by the numerator (e.g., 5 ÷ 1 = 5) | CORRECTION: Always divide the numerator (top number) by the denominator (bottom number). So, 1 ÷ 5.

MISTAKE: Forgetting the decimal point or adding it in the wrong place (e.g., writing 2 instead of 0.2) | CORRECTION: When the numerator is smaller than the denominator, the decimal form will start with '0.' followed by other digits.

MISTAKE: Not adding zeros after the decimal point to continue division (e.g., stopping at 1 ÷ 5 and getting stuck) | CORRECTION: You can always add zeros after the decimal point to the numerator to continue dividing until there is no remainder or you reach a repeating decimal.

Practice Questions

Try It Yourself

QUESTION: Convert 1/2 to a decimal. | ANSWER: 0.5

QUESTION: What is 3/10 as a decimal? | ANSWER: 0.3

QUESTION: You scored 4 out of 5 marks on a mini-quiz. Express your score as a decimal. | ANSWER: 0.8

MCQ

Quick Quiz

Which of these is the correct decimal representation of 1/5?

0.5

0.2

1.5

The Correct Answer Is:

1/5 means 1 divided by 5. When you perform this division, the result is 0.2. Options A, C, and D are incorrect divisions or misunderstandings of fractions.

Real World Connection

In the Real World

When you check your mobile data usage, sometimes it shows a fraction of a GB, like 'you have used 1/5 of your daily 1GB data'. This means you've used 0.2 GB. Or, if you're splitting a bill of 100 rupees among 5 friends, each pays 1/5, which is 0.2 of the total, or 20 rupees.

Key Vocabulary

Key Terms

FRACTION: A part of a whole, like 1/5 | DECIMAL: A number that uses a decimal point to show parts of a whole, like 0.2 | NUMERATOR: The top number in a fraction (the number being divided) | DENOMINATOR: The bottom number in a fraction (the number dividing) | QUOTIENT: The result of a division.

What's Next

What to Learn Next

Great job understanding fractions to decimals! Next, you can explore converting decimals back to fractions, or learn about different types of decimals like repeating decimals. This will make your number sense even stronger!