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 2x - 3 = 7, what is the value of x?

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

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If the sum of the squares of two consecutive positive integers is 365, what are the integers?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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

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The probability of rolling a sum of 7 with two dice is:

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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

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If the perimeter of a square is 40 cm, what is the area of the square?

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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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