Answer:
(a) We have, 9 + (?6) Firstly, draw a number line, then, we move 9 steps to the right of 0 and reach at 9. Now, we move 6 steps to the left of 9 [\[\because -6\] is a negative integer] and reach at 3, as shown in the above figure. Hence, 9 + (?6) = 3 (b) We have, 5 + (?11) Firstly, draw the number line, then we move 5 steps to the right of 0 and reach at 5. Now, we move 11 steps to the left of 5 [\[\because -11\] is a negative integer] and reach at ?6, as shown in the above figure. Hence, 5 + (?11) = ?6 (c) We have, (?1) + (?7) Firstly, draw the number line, then we move one step to the left of 0 (zero) and reach at ?1. Now, we move 7 steps to the left of ?1 [\[\because -7\]is a negative integer] and reach ?8, as shown in the above figure. Hence, (?1) + (?7) = ?8 (d) We have, (?5) + 10 Firstly, draw the number line, then we move 5 steps to the left of 0 and reach at ?5. Then, we move 10 steps to the right of ?5 [\[\because 10\] is a positive integer] and reach at 5, as shown in the above figure. Hence, (?5) + (+10) = 5 (e) We have, (?1) + (?2) + (?3) Firstly, draw the number line, then we move one step to the left of 0 and reach at ?1. Now, we move 2 steps to the left of ?1 [\[\because -2\]is a negative integer] and reach at ?3. Then, we move 3 steps to the left of ?3 [\[\because -3\] is a negative integer] and reach at -6, as shown in the above figure. Hence, (?1) + (?2) + (?3) = (?6) (f) We have, (?2) + 8 + (?4) Firstly, draw the number line, then we move 2 steps to the left of 0 and reach at ?2. Now, we move 8 steps to the right of ?2 [\[\because 8\]is a positive integer] and reach at 6. Again, from 6, we move 4 steps to the left of 6 [\[\because -4\] is a negative integer] and reach at 2, as shown in the above figure. Hence, (?2) + (8) + (?4) = 2
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