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Add the following numbers using a number line.

a) $- 7 + 2$

b) $1 + (- 5)$

c) $- 9 + 5$

d) $8 + (- 3)$

e) $9 + (- 9)$

f) $- 8 + (- 5)$

g) $- 3 + (- 1)$

h) $4 + (- 9)$

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-1, -4, -4, 1, 0, -13, -4, -1

-2, -4, -4, 2, 0, -13, -4, -2

-5, -4, -4, 5, 0, -13, -4, -5

4, -4, -4, 3, 0, -13, -4, -3

answer is C.

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Detailed Solution

(a)Given,

- 7 + 2

Mark the point on -7 on the number line.
Here 2 is added so we have to we move it right two places on the number line.
By this we come on the number -5.

Thus,

- 7 + 2 = - 5

(b) Now we have,

1 + (- 5)

Mark 1 on the number line, Now we know that + (-)=”-“
Therefore, we must reduce 5 from it.
When we move 5 left on number line we reach at -4.

Thus,

1 + (- 5)

4

- 9 + (- 5)

Here, mark point on -9 and move 5 left on the number line as we have to remove 5 from -9. By this we reach at -4.

So, we have,

1 + (- 5) = - 4

(d)We have

8 + (- 3)

Mark point on 8 and remove 3 from it. To remove 3, move it 3 steps to the left, so we reach at 5

Thus, 8+(-3)=5
(e)Now we have,

- 9 + 5

Mark point on -9 and move 5 place to right for addition. Here we reach at -4. So,

- 9 + 5 = - 4

(e) We have

9 + (- 9)

As, 9 is has symbol (-), we have to remove 9 from it. For this mark point on 9 and move left 9 place to get the result zero.

So, we get,

9 + (- 9) = 0

(f) We have

- 8 + (- 5)

Mark -8 on number line and move 5 places left to it as the negative sign is there on 5.
We get,

- 8 + (- 5) = 13

(g)We have

- 3 + (- 1)

As-3 has (-), we have to remove 1 from it by moving one step to the left to get -4.

So, we get,

- 3 + (- 1) = - 4

(h)

4 + (- 9)

Mark 4 on number line and subtract 1 from it by moving left nine spaces. Here we get,

4 + (- 9) = - 5

.
Correct option is 3.

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