About Integer:
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
#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:
Solutions:
a) -1 > -2
b) -4 < 0
c) 2 > -2
d) -90 < -20
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#2:
Solutions:
a) -6 < -3
b) 0 > -1
c) -2 > -18
c) -615 > -2000
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#3:
Solutions:
a) -12
b) -9
c) +4
d) +1
e) -1045
f) -87
g) +132
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#4:
Solutions:
a) -(-7) = 7
b) -(4 + 7 x 2) = -18
c) -(-(-(-(-29)))) = -29
d) -(-(-(-(13 - 7)))) = 6
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#5:
Solutions:
a) -(-(-912)) = -912
b) -(-(42 - 15)) = 1
c) -(-(-(-(-(-(-(-(-(-(-1037)))))))))) = -1037
