Integer Operations
What is -7 + 12?
5
True or False: The order of numbers in addition does not affect the sum.
True
Convert -3/4 to a decimal
-0.75
A hiker starts at −50 ft below sea level and climbs 120 ft. What is the final elevation?
70 ft
Is the result of 4 -(-3) greater than, less than, or equal to 4?
Greater than (7)
Calculate 14 - (-6) using an algorithum.
20
Rewrite 7 + (−5) using the Commutative Property of Addition.
-5 + 7
Add -2/5 + 7/5
5/5 = 1
The temperature was 15∘C and dropped 22∘C . What is the final temperature?
-7∘C
Estimate: -23.8 + 15.3. Is the sum close to -10 or 0?
Closer to -10
Solve −4−9 and explain why the answer is reasonable.
-13 (the answer is reasonable because adding a larger negative to -4 decreases the value further.)
Does -4 + 9 = 9 + (-4)? Why or why not?
Subtract 5/6 - 11/6
-6/6 = -1
A diver descends 40 ft, then ascends 15 ft, and finally descends 10 ft. What is the diver's final depth?
-35 ft
Is 6 + (-15) = 21 reasonable? Why or why not?
Not reasonable. The correct answer is -9
What is -3 + 3? Describe the situation.
0 (Opposite quantities combine to make 0)
Use the Communative Property to rearrange and solve -2 + 6 + (-4).
6 + (-2) + (-4) = 0
Convert the decimal -2.375 into a fraction and simplify.
-19/8 or -2 3/8
A person earns $50, spends $72 and earns $25 more. What is their total balance?
$3
Evaluate -10/2 + 4 and explain if the answer is reasonable.
-1 (Reasonable because dividing a negative and adding a smaller positive results in a small negative value.)
Calculate -10 + (-15) using an algorithum and assess its reasonableness
-25 (Reasonable because adding two negatives results in a more negative value.)
Apply the Commutative Property to simplify −8 + 12 + (−3)
12 + (−8) + (−3) = 1
Apply properties of operations to calculate -2.5 + 3.8 - 1.2
0.1
The temperature was -12∘C. It increased by 8∘C, then decreased by 14∘C. What is the final temperature?
-18∘C
A student calculates -3 + 7 - 4 = 6. Is this answer correct? Explain.
No, the correct answer is 0. The mistake was in adding -3 + 7.