Question

Write the letter for each expression in the box under the correct category in the table.

A 9+(-3) + (-2)
B -12 +1 +11

Negative Sum Zero Sum
Positive Sum

c -3+8+ (-4)
D -4+9+(-10)
E 3+(-2) + (-4)
F 2 + (-4) + 2

Answer 1

a) 9+(-3) + (-2) = 9 -5 = 4> 0 ⇒ Positive Sum

b) -12 +1 +11 = -12 +12 5 = 0 ⇒ Zero Sum

c) -3 +8 + (-4) = -7 + 8 -5 =-1 < 0 ⇒ Negative Sum

d) -4+9+(-10) = 9 -14 = -5 < 0 ⇒ Negative Sum

e) 3+(-2) + (-4) = 3 -6= -3 < 0 ⇒ Negative Sum

f) 2 + (-4) + 2 = 4 -4 = 0 ⇒ Zero Sum

Explanation:

Positive Sum is defined as the condition in which the Sum of total of gains and losses is GREATER THAN ZERO.

Zero Sum is defined as the condition in which the Sum of total of gains and losses is EQUAL TO ZERO.

Negative Sum is defined as the condition in which the Sum of total of gains and losses is LESS THAN ZERO.

Now, here

a) 9+(-3) + (-2) = 9 -5 = 4> 0 ⇒ Positive Sum

b) -12 +1 +11 = -12 +12 5 = 0 ⇒ Zero Sum

c) -3 +8 + (-4) = -7 + 8 -5 =-1 < 0 ⇒ Negative Sum

d) -4+9+(-10) = 9 -14 = -5 < 0 ⇒ Negative Sum

e) 3+(-2) + (-4) = 3 -6= -3 < 0 ⇒ Negative Sum

f) 2 + (-4) + 2 = 4 -4 = 0 ⇒ Zero Sum