Find the sum of:

(i) −557 and 488

(ii) −522 and −160

(iii) 2567 and −325

(iv) −10025 and 139

(v) 2547 and −2548

(vi) 2884 and −2884

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Solution

$(i) Here, we have to add integers of unlike sign, therefore we find the difference of their absolute values & assign the sign of the addend having greater absolute value (- 557) + 488 = - [| - 557 | - | 488 |] (As, | - 557 | = 557, | 488 | = 488) = - [557 - 488] = - 69 (ii) Here, we have to add integers that are both negative . (- 552) + (- 160) = - [| - 552 | + | - 160 |] (As, | - 552 | = 552, | - 160 | = 160) = - [552 + 160] = - 682 (iii) Here, we have to add integers of unlike signs, therefore we find the difference of their absolute values & assign sign of the addend having greater absolute value . (2567) + (- 325) = [| 2567 | - | - 325 |] (As, | 2567 | = 2567, | - 325 | = 325) = [2567 - 325] = 2242 (iv) Here, we have to add integers of unlike sign, therefore we find the difference of their absolute values & assign the sign of the addend having greater absolute value . (- 10025) + 139 = - [| - 10025 | - | 139 |] (A s, | - 10025 | = 10025, | 139 | = 139) = - [10025 - 139] = - 9886 (v) Here, we have to add integers of unlike signs, therefore we find the difference of their absolute values & assign sign of the addend having greater absolute value . (2547) + (- 2548) = - [| 2548 | - | - 2547 |] (As, | 2548 | = 2548, | - 2547 | = 2547) = - [2548 - 2547] = - 1 (vi) Here, we have to add integers of unlike signs, therefore we find the difference of their absolute values & assign sign of the addend having greater absolute value . (2884) + (- 2884) = [| 2884 | - | - 2884 |] (As, | 2884 | = 2884, | - 2884 | = 2884) = [2884 - 2884] = 0$

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