Complete the addition: i) (−3) + (−2) ii) (+5) + (−7)

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Part (i): (−3) + (−2) Step 1: Rule for adding two negative numbers. Sum of two negatives is negative of the sum of absolute values. a + b = −( |a| + |b| ) where a < 0 and b < 0. Step 2: Substitute values. (−3) + (−2) = −(3 + 2) Step 3: Simplify inside parentheses. 3 + 2 = 5; −(5) = −5 −5 Part (ii): (+5) + (−7) Step 1: Rule for adding positive and negative. If absolute value of negative is larger, result is negative of the difference. a + b = −(|b| − |a|) where |b| > |a| > 0. Step 2: Substitute values. 5 + (−7) = −(7 − 5) Step 3: Simplify inside parentheses. 7 − 5 = 2; −(2) = −2 −2

Complete the addition: i) (-3) + (-2) ii) (+5) + (-7)

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Step-by-step solution

Part i· 3 steps

Rule for adding two negative numbers.

Substitute values.

Simplify inside parentheses.

Part ii· 3 steps-2

Rule for adding positive and negative.

Substitute values.

Simplify inside parentheses.

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