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

The probability of getting an even number when rolling a die is:

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If 2x = 16, what is the value of x?

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What is the sum of the first 10 positive even numbers?

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How many diagonals does a pentagon have?

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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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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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What is the cube root of 729?

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If the average of five consecutive odd numbers is 25, what is the largest number?

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If sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?

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