# SUBTRACTING ON A NUMBER LINE

## About "Subtracting on a number line"

Subtracting on a number line :

We can subtract numbers signs using a number line.

If we subtract a positive number, we have to move in the negative direction on the number line.

If we subtract a negative number, we have to move in the positive direction on the number line.

For example, let us consider 4 - (-3).

Here we subtract a negative number. That is "-3". So we have to move 3 units in the negative direction from "4" on the number line.

In 5 - (+3), here we subtract a positive number. That is "+3".  So we have to move 3 units in the positive direction direction from "5" on the number line.

## Subtracting on a number line - Practice questions

Question 1 :

Subtract "-2" from "3" using a number line.

Since we subtract a negative number (-2) from "3", we have to move 2 units in the positive direction from 3 on the number line as given in the picture below.

After having moved 2 units in the positive direction, we are in the position of "5"

Hence, 3 - (-2)  =  5

Question 2 :

Subtract "2" from "3" using a number line.

Since we subtract a positive number (2) from "3", we have to move 2 units in the negative direction from 3 on the number line as given in the picture below.

After having moved 2 units in the negative direction, we are in the position of "1"

Hence, 3 - (2)  =  1

Question 3 :

Subtract "3" from "5" using a number line.

Since we subtract a positive number (3) from "5", we have to move 3 units in the negative direction from 5 on the number line as given in the picture below.

After having moved 3 units in the negative direction, we are in the position of "2"

Hence, 5 - (3)  =  2

Question 4 :

Subtract "5" from "-1" using a number line.

Since we subtract a positive number (5) from "-1", we have to move 5 units in the negative direction from -1 on the number line as given in the picture below.

After having moved 5 units in the negative direction, we are in the position of "-6"

Hence, -1 - (5)  =  -6

Question 5 :

Subtract "-3" from "-7" using a number line.

Since we subtract a negative number (-3) from "-7", we have to move 3 units in the positive direction from -7 on the number line as given in the picture below.

After having moved 3 units in the positive direction, we are in the position of "-4".

Hence, -7 - (-3)  =  -4.

After having gone through the stuff given above, we hope that the students would have understood "Subtracting on a number line".

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