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Add the following on the number line:
(i) ($-$12) $+$ ($-$2)
(ii) 10 $+$ ($-$7)
(iii) 8 $+$ ($-$8)
(iv) ($-$6) $+$ ($-$2) $+$ (3)
Given:
($-$12) $+$ ($-$2), 10 $+$ ($-$7), 8 $+$ ($-$8) and ($-$6) $+$ ($-$2) $+$ (3)
To find:
We have to add the given numbers on the number line.
Solution:
(i) ($\mathbf{-}$12) $\mathbf{+}$ ($\mathbf{-}$2)
Step 1: First mark $-$12.
Step 2: Move 2 steps to the left.
So, the answer is $-$14.
(ii) 10 $\mathbf{+}$ ($\mathbf{-}$7)
Step 1: First mark 10.
Step 2: Move 7 steps to the left.
So the answer is 3.
(iii) 8 $\mathbf{+}$ ($\mathbf{-}$8)
Step 1: First mark 8.
Step 2: Move 8 steps to the left.
So the answer is 0
(iv) ($\mathbf{-}$6) $\mathbf{+}$ ($\mathbf{-}$2) $\mathbf{+}$ (3)
Step 1: First mark $-$6.
Step 2: Move 2 steps to the left.
Step 3: Move 3 steps to the right.
So the answer is $-$5.