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 a:b = 7:9 and b:c = 5:6, what is a:c?

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A train 150 m long passes a pole in 15 seconds. What is its speed?

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What is the sum of all even numbers between 1 and 50?

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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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What is the sum of the first 10 positive even numbers?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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If a square has a perimeter of 64 cm, what is its area?

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

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The probability of getting an even number when rolling a die is:

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

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