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

What is the cube of 4?

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What is the probability of drawing an ace from a standard deck of 52 cards?

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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If 2x = 16, what is the value of x?

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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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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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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What is the value of x if log(x) + log(4) = log(32)?

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If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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