What is 0.125 (One Eighth)? | Simple Explanation for Class 5

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What is 0.125 (One Eighth as Decimal)?

Grade Level:

Class 5

Maths, Computing (binary 0.001), Finance, AI

Definition

What is it?

0.125 is a decimal number that represents 'one eighth' of a whole. It means if you divide something into 8 equal parts, 0.125 is the value of one of those parts.

Simple Example

Quick Example

Imagine you have a delicious pizza cut into 8 equal slices. If you eat just one slice, you have eaten 0.125 of the whole pizza. Similarly, if your mobile data plan gives you 8 GB per month, using 1 GB means you've used 0.125 of your total data.

Worked Example

Step-by-Step

Let's convert the fraction 1/8 into a decimal.
1. We need to divide the numerator (1) by the denominator (8).
2. Set up the division: 1 ÷ 8.
3. Since 1 is smaller than 8, we add a decimal point and a zero to 1, making it 1.0. Now, 10 ÷ 8 is 1 with a remainder of 2.
4. Bring down another zero, making the remainder 20. Now, 20 ÷ 8 is 2 with a remainder of 4.
5. Bring down one more zero, making the remainder 40. Now, 40 ÷ 8 is 5 with no remainder.
6. So, 1 ÷ 8 = 0.125.
Answer: 0.125

Why It Matters

Understanding decimals like 0.125 is super important in many fields. Engineers use them to measure tiny parts, computer programmers use them for calculations, and even financial experts use them for currency conversions. Learning this helps you think precisely and solve real-world problems.

Common Mistakes

MISTAKE: Thinking 0.125 is the same as 1.25 or 0.12. | CORRECTION: Remember that the position of each digit after the decimal point changes its value. 0.125 is 'one hundred twenty-five thousandths', not 'one and a quarter' or 'twelve hundredths'.

MISTAKE: Forgetting to add zeros after the decimal point during division. | CORRECTION: When the numerator is smaller than the denominator, always put a 0 and a decimal point in the quotient, then add zeros to the dividend to continue dividing.

MISTAKE: Confusing 1/8 with 1/2 or 1/4. | CORRECTION: 1/8 is much smaller than 1/2 (0.5) or 1/4 (0.25). Always visualize how many parts the whole is divided into.

Practice Questions

Try It Yourself

QUESTION: If a water bottle holds 1 litre and you drink 1/8 of it, how much water (in litres) did you drink as a decimal? | ANSWER: 0.125 litres

QUESTION: Convert the fraction 3/8 into a decimal. (Hint: Think of 1/8 and multiply by 3) | ANSWER: 0.375

QUESTION: A recipe calls for 0.125 kg of sugar. If you need to make 4 such recipes, how much sugar (in kg) do you need in total? | ANSWER: 0.5 kg

MCQ

Quick Quiz

Which of these fractions is equivalent to 0.125?

1/2

1/4

1/8

1/10

The Correct Answer Is:

0.125 is the decimal representation of the fraction 1/8. This is found by dividing 1 by 8. Options A, B, and D represent 0.5, 0.25, and 0.1 respectively.

Real World Connection

In the Real World

When you buy gold or silver, sometimes the weight is given in fractions like 1/8th of a gram. Or, if you're tracking cricket scores, sometimes strike rates might involve decimals that come from fractions. Even stock market prices often use decimals like 0.125 to show small changes in share value.

Key Vocabulary

Key Terms

DECIMAL: A number that uses a point to separate the whole number part from the fractional part | FRACTION: A way to represent parts of a whole, written as numerator/denominator | NUMERATOR: The top number in a fraction, showing how many parts are taken | DENOMINATOR: The bottom number in a fraction, showing the total number of equal parts | EQUIVALENT: Having the same value, even if they look different (like 1/8 and 0.125)

What's Next

What to Learn Next

Great job understanding 0.125! Next, you can explore converting other common fractions like 1/3 or 1/6 into decimals. This will help you become a master at working with fractions and decimals in everyday life!