# ADDING INTEGERS WITH DIFFERENT SIGNS WORKSHEET

Adding integers with different signs worksheet :

Worksheet on adding integers with different signs is much useful to the students who would like to practice problems on addition of integers with different signs.

## Adding integers with different signs worksheet - Problems

1.  Add : (-4) + (+7)

2.  Add : (+5) + (-8)

3.  Add : (+1) + (-2)

4.  Use model to add "-4" and "+3"

5.  Add "3" and "-2" using a number line.

## Adding integers with different signs worksheet - Solution

Problem 1 :

Solution :

Step 1 :

Find the absolute difference of the integers without the actual signs.

|4 - 7|  =  |-3|  =  3

Step 2 :

In the given two integers 4 and 7, the sign of the bigger integer is positive. So, we have to take positive sign to the answer.

Hence, (-4) + (+7)  =  +3

Problem 2 :

Solution :

Step 1 :

Find the absolute difference of the integers without the actual signs.

|5 - 8|  =  |-3|  =  3

Step 2 :

In the given two integers 5 and 8, the sign of the bigger integer is negative. So, we have to take negative sign to the answer.

Hence, (+5) + (-8)  =  -3

Problem 3 :

Solution :

Step 1 :

Find the absolute difference of the integers without the actual signs.

|1 - 2|  =  |-1|  =  1

Step 2 :

In the given two integers 1 and 2, the sign of the bigger integer is negative. So, we have to take negative sign to the answer.

Hence, (+1) + (-2)  =  -1

Problem 4 :

Use model to add "-4" and "+3"

Solution :

Let us take four negative counters for "-4" and three positive counters for "+3".

Cross out each negative counter for each positive counter.

In the above figure, after having crossed out each negative counter for each positive counter, the result is one negative counter.

Hence, (-4) + (+3)  =  -1

Problem 5 :

Add "3" and "-2" using a number line.

Solution :

Here, the integers "3" and "-2" are having different signs.

To find the sum of integers 3 and -2, we have to start at 3

Since the second number "-2" is negative, we have to move 2 units in the negative  direction as given in the picture below.

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

Hence, 3 + (-2)  =  1

After having gone through the stuff given above, we hope that the students would have understood "Worksheet on adding integers with different signs".

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