Class 06 Subtracting integers on the number line

 Class 06 Subtracting integers on the number line
ACTIVITY INTEGERS

Objective: 

Subtracting integers on the number line.

Materials Required: Some sheets of paper, pen, sketch pen, pencil, etc.

Procedure:

When both the integers are positive .Let us find (+7)-(+ 4).

Using sketch pen draw a number line as shown below:

2. Start from 0 and move 7 steps towards right to reach at 7.

3. Since, (+ 7)-(+ 4) is same as (+ 7) + (-4), so from 7 move 4 steps towards left to reach at  Thus, (+ 7)-(+ 4) = + 3 = 3.

ACTIVITY INTEGERS

II. When an integer -is positive and another is negative.

Let us find (-8) -  (+5)

Draw a number line as shown below:

|     |   |     |    |    |   |   |   |   |   |   |    |   |   |   |   |   |   |    |   |

     -14 -13-12-11-10 -9 -8 -7 -6 -5 -4 -3  -2 -1   0  1   2  3   4    5  6

2. Start from 0 and 8 steps towards left to reach at -8.

 3. Since, (-8-) - (+ 5) is same as (-8) + (-5), so from 8 move 5 steps towards left to reach at -13. Thus, (-8)-(+5) =-13.

ACTIVITY INTEGERS

III. When both the integers are negative. Let us find (-9)-(-3)

Draw a number line as shown below:

2. Start from 0 and move 9 steps towards left to reach at -9

3. Since, (-9)-(-3) is same as (-9) + (+3), so from-9, move 3 steps towards right to reach at -6. Thus, (-9)-(-3) = -6.

Do Yourself :

Using the number line, find:1. (+ 9)-(+5) 2. (+12)-(+8) 3. (+ 10)-(-6) 4. (-11)-(+2) 5. (-5)-(-4) 6. (-10)-(-7)