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Decimals and Fractions: Shortcuts & Tricks to solve problems Video Lecture | CSAT Preparation - UPSC

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FAQs on Decimals and Fractions: Shortcuts & Tricks to solve problems Video Lecture - CSAT Preparation - UPSC

1. What are some shortcuts and tricks to solve decimal and fraction problems quickly?
Ans. Some shortcuts and tricks to solve decimal and fraction problems quickly include: - Converting decimals to fractions by dividing the decimal by 1 and multiplying both the numerator and denominator by the same power of 10. - Simplifying fractions by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it. - Adding and subtracting decimals by lining up the decimal points and carrying out the operation as usual. - Multiplying decimals by ignoring the decimal point and performing the multiplication. Then, placing the decimal point in the product by counting the total number of decimal places in the original numbers. - Dividing decimals by moving the decimal point in the divisor to the right until it becomes a whole number. Then, move the decimal point in the dividend the same number of places to the right and perform the division.
2. How can I convert a decimal to a fraction quickly?
Ans. To convert a decimal to a fraction quickly, divide the decimal by 1 and multiply both the numerator and denominator by the same power of 10. Simplify the resulting fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it. This will give you the simplified fraction equivalent to the decimal.
3. What is the process for adding and subtracting decimals?
Ans. To add or subtract decimals, line up the decimal points in the numbers and carry out the operation as usual. Add or subtract the digits to the right of the decimal point first, and then move to the left. If one number has fewer decimal places than the other, add zeros at the end of the shorter number to make them equal in length before performing the operation.
4. How can I multiply decimals quickly?
Ans. To multiply decimals quickly, ignore the decimal point and perform the multiplication as if the numbers were whole numbers. Count the total number of decimal places in the original numbers and place the decimal point in the product by moving from right to left, starting with the rightmost digit, and placing the decimal point after the same number of digits as the total decimal places counted.
5. What is the shortcut for dividing decimals?
Ans. To divide decimals quickly, move the decimal point in the divisor to the right until it becomes a whole number. Then, move the decimal point in the dividend the same number of places to the right and perform the division. Remember to place the decimal point in the quotient at the same position as the original dividend.
214 videos|139 docs|151 tests

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