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

What is the sum of all odd numbers from 1 to 99?

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

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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 square root of 121?

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

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What is the greatest common divisor (GCD) of 36 and 48?

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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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What is the LCM of 15 and 20?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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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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