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

If the perimeter of a square is 40 cm, what is the area of the square?

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How many ways can 4 people sit in a row?

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

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

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If x + y = 10 and xy = 21, what is the value of x³ + y³?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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If the sum of three consecutive integers is 96, what are the integers?

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

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If 2x - 3 = 7, what is the value of x?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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