# Use the number line and add the following integers:

(a) 9+(-6) (b) 5+(-11)(c) (-1)+(-7)

(d)(-5)+10(e) (-1)+(-2)+(-3)(f) (-2)+8+(-4)

**Solution:**

A number line is a visual representation of numbers on a straight line.

If we observe the given number line, we find that the origin is 0 (zero), which stands in the middle. To the right, there are positive numbers** **and to the left, there are negative numbers.

(a) We will start at 0 and move 9 units to the right to arrive at point A which represents 9.

Now, move 6 units to the left from A to arrive at point B which represents 3.

(b) We will start at 0 and move 5 units to the right to arrive at point A which represents 5.

Now, move 11 units to the left from A to arrive at point B which represents -6.

(c) We will start at 0 and move 1 unit to the left to arrive at point A which represents -1.

Now, move 7 units to the left from A to arrive at point B which represents -8.

(d) We will start at 0 and move 5 units to the left to arrive at point A which represents -5.

Now, move 10 units to the right from A to arrive at point B which represents 5.

(e) We will start at 0 and move 1 unit to the left to arrive at point A which represents -1.

Now, move 2 units to the left from A to arrive at point B which represents -3.

Now, move 3 units to the left from B to arrive at point C which represents -6.

(f) We will start at 0 and move 2 units to the left to arrive at point A which represents -1.

Now, move 8 units to the right from A to arrive at point B which represents 6.

Now, move 4 units to the left from B to arrive at point C which represents 2.

So, we used the number line to show the given operations on the integers.

## Use the number line and add the following integers:

(a) 9+(-6) (b) 5+(-11)(c) (-1)+(-7)

(d)(-5)+10(e) (-1)+(-2)+(-3)(f) (-2)+8+(-4)

**Summary:**

(a) 9+(-6) = 3 (b) 5+(-11) = -6 (c) (-1)+(-7) = -8 (d) (-5)+10 = 5 (e) (-1)+(-2)+(-3) = -6 (f) (-2)+8+(-4) = 2

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