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Introduction to Integers Test
About Introduction to Integers:

Our first experience with math usually deals exclusively with the whole numbers: 0,1,2,3,… Once we have mastered operations with the whole numbers, we start talking about the integers …-2,-1,0,1,2,… The integers include all of the whole numbers and their opposites.

Test Objectives:

•Demonstrate the ability to determine the relationship between two integers

•Demonstrate the ability to find the opposite (additive inverse) of a number

•Demonstrate the ability to simplify an expression with multiple negative signs

Introduction to Integers Test:




#1:


Instructions: Replace the ? with the inequality symbol "<" or ">".


a) -1 ? -2


b) -4 ? 0


c) 2 ? -2


d) -90 ? -20


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#2:


Instructions: Replace the ? with the inequality symbol "<" or ">".


a) -6 ? -3


b) 0 ? -1


c) -2 ? -18


c) -615 ? -2000


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#3:


Instructions: Find the opposite of each number.


a) 12


b) 9


c) -4


d) -1


e) 1045


f) 87


g) -132


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#4:


Instructions: Simplify


a) -(-7)


b) -(4 + 7 x 2)


c) -(-(-(-(-29))))


d) -(-(-(-(13 - 7))))


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#5:


Instructions: Simplify


a) -(-(-912))


b) -(-(42 - 15))


c) -(-(-(-(-(-(-(-(-(-(-1037))))))))))


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Written Solutions:




#1:


Solution:


a) -1 > -2


b) -4 < 0


c) 2 > -2


d) -90 < -20


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#2:


Solution:


a) -6 < -3


b) 0 > -1


c) -2 > -18


c) -615 > -2000


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#3:


Solution:


a) -12


b) -9


c) +4


d) +1


e) -1045


f) -87


g) +132


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#4:


Solution:


a) -(-7) = 7


b) -(4 + 7 x 2) = -18


c) -(-(-(-(-29)))) = -29


d) -(-(-(-(13 - 7)))) = 6


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#5:


Solution:


a) -(-(-912)) = -912


b) -(-(42 - 15)) = 1


c) -(-(-(-(-(-(-(-(-(-(-1037)))))))))) = -1037


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