ADDING INTEGERS WITH DIFFERENT SIGNS WORKSHEET

Problem 1 :

Add (-4) and (+7).

Problem 2 :

Add (+5) and (-8).

Problem 3 :

Add (+1) and (-2).

Problem 4 :

Use model to add -4 and +3.

Problem 5 :

Add 3 and -2 using a number line.

Problem 1 :

Add (-4) and (+7).

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.

So,

(-4) + (+7)  =  +3

Problem 2 :

Add (+5) and (-8).

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.

So,

(+5) + (-8)  =  -3

Problem 3 :

Add (+1) and (-2).

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.

So,

(+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.

Mark zero pairs.

In the above figure, if you remove three zero pairs, the result will be one negative counter.

So, the answer is -1.

Therefore,

(-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

Because 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.

Therefore,

3 + (-2)  =  1

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