ADDING INTEGERS WITH SAME SIGN WORKSHEET

Problem 1 : 

Evaluate :

(-4) + (-7)

Problem 2 : 

Evaluate :

(+5) + (+8)

Problem 3 : 

Evaluate :

(-1) + (-2)

Problem 4 : 

Use model to find the sum of -5 and -2. 

Problem 5 :

The temperature was 2°F below zero. The temperature drops by 5°F. What is the temperature now ?

Detailed Answer Key

Problem 1 : 

Evaluate :

(-4) + (-7)

Solution : 

Step 1 : 

Find the absolute values.

|-4|  =  4 and  |-7|  =  7

Step 2 : 

Find the sum of the absolute values :

 4 + 7  =  11

Step 3 : 

Use the sign of the integers to write the sum.

(-4) + (-7)  =  -11

Problem 2 : 

Evaluate :

(+5) + (+8)

Solution : 

Step 1 : 

Find the absolute values.

|+5|  =  5 and  |+8|  =  8

Step 2 : 

Find the sum of the absolute values :

 5 + 8  =  13

Step 3 : 

Use the sign of the integers to write the sum.

(+5) + (+8)  =  +13

Problem 3 : 

Evaluate :

(-1) + (-2)

Solution : 

Step 1 : 

Find the absolute values.

|-1|  =  1 and  |-2|  =  2

Step 2 : 

Find the sum of the absolute values :

 1 + 2  =  3

Step 3 : 

Use the sign of the integers to write the sum.

(-1) + (-2)  =  -3

Problem 4 : 

Use model to find the sum of -5 and -2. 

Solution : 

Let us take five negative counters for -5 and two negative counters in the second row for -2.

In the above figure, we find seven negative counters in total.  

So, the answer is -7. 

Therefore,

(-5) + (-2)  =  -7

Problem 5 :

The temperature was 2°F below zero. The temperature drops by 5°F. What is the temperature now ?

Solution :

Step 1 : 

According to the question, the initial temperature was 2°F below zero. 2 below zero is -2. 

So, the initial temperature is -2°F

Step 2 : 

Let us mark the initial temperature on the number line.

Step 3 : 

A drop in temperature of 5° is like adding -5° to the temperature.

Since the temperature is dropping, we have to go below the initial temperature. The temperature drops by 5°. So, we have to count 5 units on the number line below -2 to find the final temperature.

That is -7.

Mark the temperature now on the number line.

Step 4 : 

From the above figure, the final temperature is -7°.

Justify and Evaluate :

In the above example, we have just added -2 and -5.

From the above example problem, it is clear that when we add two negative numbers, we have to add them as usual and take negative sign to the result.  

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