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 a = 4 and b = 5, what is the value of (a+b)^2?

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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The area of an equilateral triangle with side length 6 cm is:

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

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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If x^2 + 4x + 4 = 0, what is the value of x?

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

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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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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