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 x² - 9x + 18 = 0, what are the roots of the equation?

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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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If the perimeter of a square is 36 cm, what is the length of its diagonal?

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

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What is the HCF of 72 and 120?

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If the length of a rectangle is doubled and the width is halved, what is the change in area?

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What is the probability of drawing a king from a standard deck of 52 playing cards?

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

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The LCM of 12 and 15 is:

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