Topic Details (Notes format)

How to Perform Long Division

Subject: Mathematics

Book: Maths Mastery

Long division systematically divides multi-digit dividends by single or multi-digit divisors, generating a quotient and remainder. For instance, dividing 728 by 8: 8 goes into 72 nine times (72), leaving 0, then 8 into 8 is once, so the quotient is 91. Remainders can be expressed as fractions or decimals if needed. Long division helps in real-world tasks like splitting bills, distributing resources, or converting fractions to decimals. Even in an era of calculators, proficiency ensures clarity, fosters number sense, and handles situations without digital tools.

Practice Questions

A sphere has a radius of 7 cm. What is its volume?

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What is the square root of 144?

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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If x^2 - 5x + 6 = 0, what are the roots?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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What is the slope of a line passing through the points (2, 3) and (4, 7)?

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If x^2 + 4x + 4 = 0, what is the value of x?

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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