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 simple interest on Rs. 4000 at 5% per annum for 2 years is:

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

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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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If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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What is the LCM of 15 and 20?

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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A number is increased by 20% and then decreased by 10%. What is the net change?

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

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

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