Topic Details (Notes format)

How to Multiply and Divide Negative Numbers

Subject: Mathematics

Book: Maths Mastery

For multiplication or division, if the signs of the two numbers are the same (both positive or both negative), the result is positive. If the signs differ, the result is negative. For instance, (–4) × (–5) = 20, but (–6) × 7 = –42. This sign rule extends to divisions as well, so (–10) ÷ (–2) = 5, while 8 ÷ (–2) = –4. Proficiency in handling negatives is crucial for solving equations, interpreting credit/debit transactions, or analyzing temperature variations. Grasping these rules ensures you can manage advanced algebraic expressions without confusion.

Practice Questions

If sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?

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

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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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If sin(A) = 1/2 and A is acute, what is the value of A?

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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What is the sum of the interior angles of a hexagon?

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

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If a:b = 7:9 and b:c = 5:6, what is a:c?

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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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If x^2 - 6x + 9 = 0, what is the value of x?

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