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

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

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If a square has a perimeter of 64 cm, what is its area?

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What is the LCM of 15 and 20?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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If the perimeter of a square is 40 cm, what is the area of the square?

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If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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

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