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What is 1/100 (One Hundredth)?
Grade Level:
Class 4
Maths, Percentages, Finance, Data Science
Definition
What is it?
1/100 (One Hundredth) means one part out of a total of one hundred equal parts. It is a way to represent a very small fraction or a portion of something when it's divided into 100 pieces.
Simple Example
Quick Example
Imagine you have a delicious gulab jamun and you cut it into 100 tiny, equal pieces. If you take just one of those tiny pieces, that one piece is 1/100 of the whole gulab jamun. It's a very small portion!
Worked Example
Step-by-Step
PROBLEM: If a cricket match has 100 overs, and a bowler bowls 1 over, what fraction of the total overs did the bowler bowl in terms of hundredths?
STEP 1: Understand the total. The total number of overs in the match is 100.
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STEP 2: Identify the part. The bowler bowled 1 over.
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STEP 3: Write it as a fraction. The part bowled (1) goes on top, and the total (100) goes at the bottom.
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STEP 4: The fraction is 1/100.
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ANSWER: The bowler bowled 1/100 of the total overs.
Why It Matters
Understanding 1/100 is key to understanding percentages, as 'percent' literally means 'per hundred'. This concept is crucial in finance for calculating interest, in data science for representing proportions, and in engineering for precision measurements. Knowing this helps you think like a financial analyst or a data scientist!
Common Mistakes
MISTAKE: Thinking 1/100 means 100 parts | CORRECTION: 1/100 means ONE part out of 100 total equal parts.
MISTAKE: Confusing 1/100 with 1/10 (one tenth) | CORRECTION: 1/100 is much smaller than 1/10. Think of cutting a cake into 100 pieces vs. 10 pieces – the 1/100 piece is tiny!
MISTAKE: Writing 1/100 as 100 when asked for a fraction | CORRECTION: 1/100 is a fraction. 100 is a whole number. They are very different.
Practice Questions
Try It Yourself
QUESTION: A chocolate bar is divided into 100 equal squares. If you eat 1 square, what fraction of the chocolate bar did you eat? | ANSWER: 1/100
QUESTION: A school has 100 students. If 1 student wins a prize, what fraction of the total students won a prize? | ANSWER: 1/100
QUESTION: A tailor has 1 meter of cloth. If he cuts a piece that is 1/100 of the total length, how many such pieces could he cut from the 1-meter cloth? | ANSWER: 100 pieces
MCQ
Quick Quiz
Which of the following correctly represents one hundredth?
100
1/10
1/100
0.1
The Correct Answer Is:
C
1/100 means one part out of a hundred. Option C, 1/100, directly represents this. Options A, B, and D represent 100, one tenth, and one tenth respectively.
Real World Connection
In the Real World
When you see prices in Rupees and Paise, 1 Paise is 1/100 of a Rupee. For example, Rs. 5.25 means 5 Rupees and 25 Paise, where 25 Paise is 25/100 of a Rupee. This is a common way we use hundredths in everyday transactions, like buying snacks or paying for an auto-rickshaw ride.
Key Vocabulary
Key Terms
FRACTION: A part of a whole | NUMERATOR: The top number in a fraction, showing the number of parts | DENOMINATOR: The bottom number in a fraction, showing the total number of equal parts | HUNDREDTH: One part out of 100 equal parts
What's Next
What to Learn Next
Great job understanding 1/100! Next, you should learn about 'Percentages'. Since 'percent' means 'per hundred', understanding 1/100 will make learning about 1% (which is 1/100) much easier and help you calculate discounts or interest!
