ADDITIVE INVERSE WORKSHEET
About "Additive inverse worksheet"
Additive inverse worksheet:
Worksheet on additive inverse is much useful to the students who would like to practice problems on adding two same numbers with opposite signs.
Additive inverse worksheet - Problems
1. A football team loses 3.5 yards on their first play. On the next play, they gain 3.5 yards. What is the overall increase or decrease in yards ?
2. Add the rational number 2/3 and its additive inverse.
3. Add the rational number 4/9 and the additive inverse of 2/9.
4. Add the rational number -4/3 and the additive inverse of -1/3.
Additive inverse worksheet - Solution
Problem 1 :
A football team loses 3.5 yards on their first play. On the next play, they gain 3.5 yards. What is the overall increase or decrease in yards?
Solution :
Step 1 :
Use a positive number to represent the gain in yards and a negative number to represent the loss in yards.
Step 2 :
Find -3.5 + 3.5.
Step 3 :
Start at -3.5.
Step 4 :
Move | 3.5 | = 3.5 units to the right, because the second addend is positive.
The result is 0. This means the overall change is 0 yards.
Problem 2 :
Add the rational number 2/3 and its additive inverse.
Solution :
Step 1 :
The additive inverse of 2/3 is -2/3.
Then, we have to find (2/3) + (-2/3).
Step 2 :
In the above addition, since the two rational numbers have different signs, we have to find the absolute difference of them without the actual signs.
|2/3 - 2/3| = |0| = 0
Hence, (2/3) + (-2/3) = 0
Problem 3 :
Add the rational number 4/9 and the additive inverse of 2/9.
Solution :
Step 1 :
The additive inverse of 2/9 is -2/9.
Then, we have to find (4/9) + (-2/9).
Step 2 :
In the above addition, since the two rational numbers have different signs, we have to find the absolute difference of them without the actual signs.
|4/9 - 2/9| = |2/9| = 2/9
Step 3 :
In (4/9) + (-2/9), the sign of the bigger number is positive. So, we have to take positive sign to the answer.
Hence, (+4/9) + (-2/9) = +2/9
Problem 4 :
Add the rational number -4/3 and the additive inverse of -1/3.
Solution :
Step 1 :
The additive inverse of -1/3 is +1/3.
Then, we have to find (-4/3) + (+1/3).
Step 2 :
In the above addition, since the two rational numbers have different signs, we have to find the absolute difference of them without the actual signs.
|4/3 - 1/3| = |3/3| = 1
Step 3 :
In (-4/3) + (+1/3), the sign of the bigger number is negative. So, we have to take negative sign to the answer.
Hence, (-4/3) + (+1/3) = -1.
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