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 2a + b = 10 and a - b = 4, what is the value of a?

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What is the square root of 0.25?

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How many diagonals does a pentagon have?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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What is the HCF of 48 and 180?

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What is the sum of all angles in a hexagon?

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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 perimeter of a square is 36 cm, what is the length of its diagonal?

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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