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What is 0.75 (Zero Point Seventy-Five)?
Grade Level:
Class 4
Maths, Finance, Science, Computing, AI
Definition
What is it?
0.75 (Zero Point Seventy-Five) is a decimal number that represents three-quarters of a whole. It means 75 parts out of 100, or 75 hundredths. It's a way to show a value that is less than one but more than zero.
Simple Example
Quick Example
Imagine you have a delicious pizza cut into 4 equal slices. If you eat 3 of those slices, you have eaten 0.75 of the pizza. This means you ate three-quarters of the whole pizza.
Worked Example
Step-by-Step
Let's convert the fraction 3/4 into a decimal to see how we get 0.75.
Step 1: Understand that 3/4 means 3 divided by 4.
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Step 2: Set up the division: 3 ÷ 4.
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Step 3: Since 3 is smaller than 4, we put a '0' in the quotient and a decimal point. Then, add a zero after the 3, making it 30.
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Step 4: Now, divide 30 by 4. 4 goes into 30 seven times (4 x 7 = 28).
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Step 5: Write '7' after the decimal point in the quotient. Subtract 28 from 30, which leaves 2.
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Step 6: Add another zero to the remainder (2), making it 20. Divide 20 by 4. 4 goes into 20 five times (4 x 5 = 20).
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Step 7: Write '5' after the '7' in the quotient. Subtract 20 from 20, which leaves 0. The division is complete.
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Answer: So, 3 divided by 4 is 0.75.
Why It Matters
Understanding 0.75 is crucial in many fields like finance, science, and computing. Financial analysts use decimals for stock prices and interest rates, while scientists use them for measurements. Even AI algorithms rely on precise decimal calculations for decision-making, opening doors to careers in data science and engineering.
Common Mistakes
MISTAKE: Thinking 0.75 is the same as 75. | CORRECTION: 0.75 is less than 1, while 75 is a whole number. The decimal point changes the value significantly.
MISTAKE: Confusing 0.75 with 0.075. | CORRECTION: 0.75 means 75 hundredths, while 0.075 means 75 thousandths, which is a much smaller value. The position of the digits after the decimal point matters.
MISTAKE: Believing 0.75 is a whole number. | CORRECTION: Any number with digits after the decimal point is a decimal number and represents a part of a whole, not a full whole number.
Practice Questions
Try It Yourself
QUESTION: If a shop offers a discount of 0.75 rupees on a 1-rupee candy, how much is the discount? | ANSWER: The discount is 0.75 rupees.
QUESTION: Convert the fraction 3/4 to a decimal. | ANSWER: 0.75
QUESTION: You have 1 whole cake. If you eat 0.75 of it, how much cake is left? Express your answer as a decimal. | ANSWER: 0.25 of the cake is left (1 - 0.75 = 0.25).
MCQ
Quick Quiz
Which of these is another way to say 0.75?
Seven and five
Seventy-five hundredths
Seventy-five tens
Three-fifths
The Correct Answer Is:
B
0.75 means 75 parts out of 100, which is 'seventy-five hundredths'. Option D (three-fifths) is 0.6, not 0.75.
Real World Connection
In the Real World
When you check your mobile data usage, you might see that you have used 0.75 GB of data out of your 1 GB daily limit. This means you've used three-quarters of your daily allowance. Similarly, cricket match scores often use decimals, like a player's strike rate being 0.75, meaning they score 0.75 runs per ball on average.
Key Vocabulary
Key Terms
DECIMAL: A number that includes a decimal point, representing a value less than a whole number. | FRACTION: A way to represent parts of a whole, like 3/4. | HUNDREDTHS: The second digit after the decimal point, representing parts out of 100. | QUARTER: One of four equal parts of something.
What's Next
What to Learn Next
Now that you understand 0.75, you can explore other decimal numbers and learn how to add, subtract, multiply, and divide them. This will help you solve more complex problems involving money, measurements, and data.
