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

If x:y = 4:5 and y:z = 2:3, what is x:z?

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

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

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If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

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

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

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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What is the sum of the first 20 odd numbers?

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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

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