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 root of 729?

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What is the value of log₃(27)?

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What is the greatest common divisor (GCD) of 36 and 48?

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What is the square root of 0.25?

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What is the LCM of 15 and 20?

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If the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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If the sum of three consecutive integers is 72, what are the integers?

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If a:b = 3:4 and b:c = 5:6, what is a:c?

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What is the area of an equilateral triangle with side length 10 cm?

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If the radius of a circle is doubled, what happens to its area?

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