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 x^3 - 3x^2 + 4 = 0, what is one root of the equation?

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

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

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What is the square root of 144?

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What is the area of a circle with a diameter of 14 cm?

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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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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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What is the sum of all even numbers between 1 and 50?

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What is the HCF of 72 and 120?

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