Topic Details (Notes format)

How to Work with Negative Numbers (Addition and Subtraction)

Subject: Mathematics

Book: Maths Mastery

Adding and subtracting negative numbers requires careful attention to signs. For addition: if both numbers share the same sign, add their absolute values and keep that sign. For example, (–3) + (–5) = –8. If signs differ, subtract the smaller absolute value from the larger and keep the sign of the larger absolute value: (–7) + 4 = –3. Subtraction can be converted to addition of the opposite: a – b = a + (–b). Understanding negative numbers is vital in contexts like temperature changes, financial debts, or coordinate geometry. Frequent practice cements your skill, preventing sign errors in more advanced algebraic operations.

Practice Questions

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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A cube has a side length of 4 cm. What is its volume?

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

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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If 3x = 81, what is the value of x?

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

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If the probability of an event is 1/4, what is the probability of its complement?

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