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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