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Decimals Video Lecture | Math Olympiad for Class 5

FAQs on Decimals Video Lecture - Math Olympiad for Class 5

1. What are decimals and how are they used in everyday life?
Ans.Decimals are a way of expressing numbers that are not whole. They are used to represent parts of a whole and are particularly useful in measurements, currency, and scientific computations. For example, when you buy groceries, the price might be $3.75, indicating that it costs three dollars and seventy-five cents. Decimals help in making precise calculations and comparisons in daily activities.
2. How do you convert a fraction into a decimal?
Ans.To convert a fraction into a decimal, you divide the numerator (the top number) by the denominator (the bottom number). For example, to convert ½ to a decimal, you divide 1 by 2, which equals 0.5. This method can be applied to any fraction, and if the division doesn’t result in a whole number, you can continue dividing to get more decimal places.
3. What is the difference between terminating and repeating decimals?
Ans.Terminating decimals are decimals that come to an end, meaning they have a finite number of digits after the decimal point. For instance, 0.75 is a terminating decimal. On the other hand, repeating decimals have an infinite number of digits that repeat in a pattern, such as 0.333…, where the digit 3 repeats indefinitely. Understanding this difference is important for proper numerical representation and calculations.
4. How do you add and subtract decimals?
Ans.Adding and subtracting decimals involves lining up the decimal points of the numbers being added or subtracted. For example, to add 2.5 and 1.75, you align them as follows: 2.50 + 1.75 ------- 4.25 Make sure to fill in any empty spaces with zeros so that the decimal points line up correctly. The process of subtraction follows the same principle.
5. Why are decimals important in mathematics and science?
Ans.Decimals are crucial in mathematics and science because they allow for precise calculations and representation of values. In science, measurements are often expressed in decimals to convey accuracy, such as 9.81 m/s² for gravitational acceleration. In mathematics, decimals are essential for understanding place value, performing arithmetic operations, and working with ratios and proportions. Their significance extends to fields like finance, engineering, and data analysis, where precision is key.
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