Addition of Integers
An Elevator starts at Floor -3. It goes up 11 Floors. What floor is it on now?
Floor 8
Which expression is equal to 6 - (-4)?
A) 6 + 4 B) 6 - 4 C) -6 + 4 D) -6 - 4
Answer: A) 6 + 4
What is -3 × (-6)?
A) -18 B) 18 C) 9 D) -9
Answer: B) 18
What is 3/5 + 2/5?
A) 5/10 B) 1 C) 1/5 D) 5/5
Answer: B) 1
What is 5/6 - 1/3?
A) 2/3 B) 1/6 C) 4/9 D) 1/3
Answer: A) 2/3
Which expression results in the greatest sum?
A) -3 + 4+(-10) B) -5 + 2+(-8) C) -2 + (-9)+4 D) -5 + 5+(-12)
c) -7
A submarine is at -250 meters. It dives 180 meters more. What is its final depth?
Answer: -250 - 180 = -430 meters
What is the result of 56 ÷ (-7)?
A) -8 B) 8 C) -7 D) 49
Answer: A) -8
What is -2/3 + 5/6?
A) 1/6 B) 3/6 C) -7/6 D) -1/6
Answer: A) 1/6
What is -3/4 - 2/5?
A) -1/20 B) -23/20 C) -7/9 D) -19/20
Answer: B) -23/20
A submarine is 400 feet below sea level. It ascends 150 feet and then 100 more feet. What is its new depth?
Answer: -400 + 150 + 100 = -150 feet
True/false
Subtracting a larger positive integer from a smaller one always results in a negative number.
Answer: True
A factory loses 15 units per hour for 6 hours. What is the total loss?
Answer: -15 × 6 = -90 units
Liam drank 3/4 of a liter of juice in the morning and 5/8 liter in the evening. How much total?
Answer: 3/4 + 5/8 = 6/8 + 5/8 = 11/8 = 1 3/8 liters
A recipe needs 1 1/2 cups of sugar. You only have 3/4 cup. How much more do you need?
Answer: 3/2 - 3/4 = 6/4 - 3/4 = 3/4 cup more
True/False
The sum of any three negative integers is always greater than the smallest number among them.
Answer: False
A debt of $120 was reduced by $35, then increased again by $90. What is the total debt now?
Answer: -120 + 35 - 90 = -175 dollars
True/False
The quotient of two integers is always an integer.
Answer: False (e.g., 5 ÷ 2 = 2.5, which is not an integer)
True/False
The sum of two rational numbers can never be an irrational number.
Answer: True
For all rational numbers r and s, the expression r−s is always greater than or equal to zero if r≥s
Answer: True
True/False
There exists exactly one integer that is its own additive inverse.
True
True or False
For all integers a and b, if a−b= b−a, then either a=b or a + b =0
True
Evaluate: (-4 × 3) + (6 ÷ -2) - (-5)
Answer: (-12) + (-3) - (-5) = -12 - 3 + 5 = -10
A container has 2 2/3 liters of water. Another 3 5/7 liters are added. What is the total?
Answer: Convert: 8/3 + 26/7 = (56 + 78)/21 = 134/21 = 6 8/21 liters
A pool was filled with 12 3/8 gallons of water. After draining 4 5/6 gallons, how much remains?
Answer: Convert: 99/8 - 29/6 = (297 - 116)/24 = 181/24 = 7 13/24 gallons