Download Number System Chapter Questions

7th Grade The Number System: Adding and Subtracting Rational Numbers
Name:
1. Show the addition problem on a number line, and give the answer.
a. 4 + 2.5
b. 4 + (-2.5)
c.
-4 + 2.5
d. -4 + (-2.5)
e. -4 + 4
2. Decide whether the statements below are always true, sometimes true, or always false. Give examples to
support your answer.
a. The sum of two positive numbers is a positive number.
b. The sum of a negative number and a positive number is a positive number.
c.
The sum of two negative numbers is a negative number.
3. Find the sum.
a. 2.3 + (-4.8) =
h.
2
1
 5  (4 ) =
3
2
m.
i.
4½ + (-3) =
n. 35 + (-22) =
d. -10.9 + (-10.9) =
j.
-7 + 10 =
o. -250.3 + (-27.25) =
e. -8.23 + 8.23 =
k.
25.8 + (-30) =
f.
l.
-40.32 + (-25) =
b. -5 + (-6) =
c.
-6 + 4 =
5 + (-5) =
525
+ (-110) =
5
g. -3 + 0 =
4. Decide whether the statements below are always true, sometimes true, or always false. Give examples to
support your answer.
a. The difference when a negative number is subtracted from a positive number is a negative number.
b. The difference when a negative number is subtracted from a negative number is a negative number.
5. Convert the following subtraction problems into addition problems, and then find the sum.
a. -10 – 4
k. 55.12 – (-20.34)
3
1
f.  15  ( 7 )
b. 12 – (-2)
l. -100 – (-99)
8
2
g. -1 – (-3)
m. -30.6 – 30.6
d. -12 – 3
h. -2½ – 5
n. 45 - (-45)
e. 10.75 – 14
i.
5.6 – (-4.72)
j.
-2.8 – (-4.3)
c.
-5.8 – (-2.9)
o. -175 – 30