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Long Division Method Decimals - Square and Square Roots, Mathematics, CBSE Class 8 Video Lecture

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FAQs on Long Division Method Decimals - Square and Square Roots, Mathematics, CBSE Class 8 Video Lecture

1. What is the long division method for decimals?
Ans. The long division method for decimals is a mathematical technique used to divide two decimal numbers. It follows the same principles as long division for whole numbers, but with the inclusion of decimal places. The process involves dividing the decimal numbers, placing the decimal point in the quotient directly above the decimal point in the dividend, and continuing the division until the desired level of accuracy is achieved.
2. How do you find the square of a decimal number?
Ans. To find the square of a decimal number, you multiply the number by itself. For example, to find the square of 2.5, you multiply 2.5 by 2.5, which equals 6.25. Similarly, if you want to find the square of 0.4, you multiply 0.4 by 0.4, resulting in 0.16. The square of a decimal number is always positive.
3. What is the square root of a decimal number?
Ans. The square root of a decimal number is a value that, when multiplied by itself, equals the original decimal number. For example, the square root of 4.84 is 2.2, because 2.2 multiplied by 2.2 equals 4.84. Similarly, the square root of 0.09 is 0.3, as 0.3 multiplied by 0.3 equals 0.09. The square root of a decimal number can be a whole number or a decimal, depending on the original number.
4. How can long division method be used to find square roots of decimal numbers?
Ans. The long division method can be used to find square roots of decimal numbers by following these steps: 1. Start by separating the given decimal number into groups of two digits, starting from the decimal point and moving left. If there is an odd number of digits, the first group will have only one digit. 2. Find the largest whole number whose square is less than or equal to the first group of digits. This will be the first digit in the square root. 3. Subtract the square of this digit from the first group of digits and write down the remainder. 4. Bring down the next group of digits (if any) and double the current digit of the square root. 5. Find the largest digit to append to the current digit, such that the resulting number is less than or equal to the remainder obtained in step 3. 6. Repeat steps 3-5 until all the groups of digits have been brought down. 7. The final result obtained by the above process will be the square root of the given decimal number.
5. Can long division method be used to find square roots of non-perfect square decimal numbers?
Ans. Yes, the long division method can be used to find the square roots of non-perfect square decimal numbers. However, the process will continue indefinitely as the decimal digits are never-ending and non-repeating. In such cases, we usually round off the decimal to a certain level of accuracy or use approximation techniques to find an approximate value for the square root.
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