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

The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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What is the sum of all even numbers between 1 and 100?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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If the sum of three consecutive integers is 72, what are the integers?

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

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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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