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Decimals Video Lecture | Mathematics Class 7 ICSE

FAQs on Decimals Video Lecture - Mathematics Class 7 ICSE

1. What are decimals and how are they used in everyday life?
Ans.Decimals are a way of expressing numbers that are not whole, using a decimal point to separate the whole number part from the fractional part. For example, 3.14 is a decimal number where 3 is the whole number, and 14 represents the fractional part. In everyday life, decimals are used in various situations such as measuring lengths, weights, and in financial transactions like calculating prices, taxes, and discounts.
2. How do you convert fractions to decimals?
Ans.To convert a fraction to a decimal, you divide the numerator (the top number) by the denominator (the bottom number). For example, to convert ¾ to a decimal, you would divide 3 by 4, which equals 0.75. If the fraction cannot be simplified easily, using a calculator can help achieve an accurate decimal representation.
3. What is the relationship between decimals and percentages?
Ans.Decimals and percentages are closely related. A percentage is a decimal number multiplied by 100. For example, 0.25 as a decimal is equivalent to 25% when expressed as a percentage (0.25 x 100 = 25). Understanding this relationship helps in converting between the two forms, which is useful in various applications such as calculating discounts or interest rates.
4. How do you add and subtract decimals?
Ans.Addition and subtraction of decimals involve aligning the decimal points of the numbers being added or subtracted. For instance, when adding 2.5 and 3.75, you line them up as follows: 2.50 + 3.75 ________ 6.25 After performing the operation, simply carry down the decimal point in the result. The same principle applies to subtraction.
5. What are some common mistakes made when working with decimals?
Ans.Common mistakes when working with decimals include misplacing the decimal point, not aligning decimal points correctly during addition or subtraction, and forgetting to carry over when necessary. Additionally, when multiplying or dividing, some may overlook adjusting the decimal point in the final answer based on the number of decimal places in the original numbers. Careful attention to detail can help avoid these errors.
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