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Question

# Draw a number line and represent each of the following on it: (i) $5+\left(-2\right)$ (ii) $\left(-9\right)+4$ (iii) $\left(-3\right)+\left(-5\right)$ (iv) $6+\left(-6\right)$ (v) $\left(-1\right)+\left(-2\right)+2$ (vi) $\left(-2\right)+7+\left(-9\right)$

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Solution

## (i) If we start from 5 and move 2 units to the left of 5, we will obtain 3, as shown on the number line. (ii) If we start from -9 and move 4 units to the right of -9, we will obtain -5, as shown on the number line. (iii) If we start from -3 and move 5 units to the left of -3, we will obtain -8, as shown on the number line. (iv) If we start from 6 and move 6 units to the left of 6, we will obtain 0, as shown on the number line. (v) If we start from -1 and move 2 units to the left of -1, we will obtain -3; and then if we start from -3 and move 2 units to the left, we will obtain -1, as shown on the number line. (vi) If we start from -2 and move 7 units to the right, we will obtain 5; and then if we start from 5 and move 9 units to the left, we will obtain -4, as shown on the number line.

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