Name: ______________________________________________
Date: _____________________
Independent Practice: Adding Integers and Rational Numbers Answer sheet
1. Construct a Number line with integers (negative and positive numbers)
-5
-4
-3
-2
-1
0
1
2
3
4
5
(1 Point)
Using the number lines below show 4 and  2 and give its absolute value. (Remember absolute value
is distance.)
2.
4
+4
-5
-4
-3
-2
-1
0
1
2
3
4
5
(2 Points; 1 point for absolute value & 1 point for number line representation)
3.
2
-2
-5
-4
-3
-2
-1
0
1
2
3
4
5
(2 Points; 1 point for absolute value & 1 point for number line representation)
Use the given number lines to model the given equations
4. -4 + (-1) = _-5__
-1
-4
-5
-4
-3
-2
-1
0
1
2
3
4
5
(2 Points; 1 point for the answer & 1 point for number line representation)
5. 3 + (-2) = _1__
-2
3
-5
-4
-3
-2
-1
0
1
2
3
4
5
(2 Points; 1 point for the answer & 1 point for number line representation)
6. What is the rule for adding integers and rational numbers with the same signs using absolute value:
find the absolute value of the integers add them and keep the common sign
(1 Point)
7. What is the rule for adding integers and rational numbers with different signs using absolute value:
find the absolute value of each integer find their differences and take the sign of the larger absolute
value
(1 Point)
8. Why do the rules for adding integers always work?
Because you always take the absolute value of the integers but the signs of the integers determine if
you should add or subtract the integers not the absolute value. The greater absolute value
determines the sign of the sum of the integers.
(1 Point)
9. Christy hikes up a mountain 7
4
2
yards . She realizes that her water bottle fell 2 yards down the
5
5
mountain. Where is the water bottle at? Write and solve an addition equation to represent the
situation.
Answer: 7
4 
2
2
  2   5
5 
5
5
(2 Points; 1 point for the answer & 1 point for the equation)
10. Roy owed Greg $5.46 for paying for his lunch. So he wrote Greg a check. When Roy checks his
account he discovers that his account is in the negative $20. What will his account balance be after the
check processes? Write and solve an addition equation to represent the situation.
Answer:  5.46   20   25.46 ; (-$25.46)
(2 Points; 1 point for the answer & 1 point for the equation)
Total Possible Points: (16 Points)
12 out of 16 points show sufficient understanding.