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Questions and Answers
______ + (-) + (-) + ______ + ______ + (-______) =
______ + (-) + (-) + ______ + ______ + (-______) =
1
(-60) + (-11) + (-9) + 100 =
(-60) + (-11) + (-9) + 100 =
20
The additive inverse of (3 - 8) - (-4) is
The additive inverse of (3 - 8) - (-4) is
1
The sum of an integer and its additive inverse is always
The sum of an integer and its additive inverse is always
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Match the following integers with their comparison:
Match the following integers with their comparison:
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Simplify: -15 - (-40) =
Simplify: -15 - (-40) =
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Simplify: 136 + (-127) =
Simplify: 136 + (-127) =
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7 - (-8) =
7 - (-8) =
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The additive inverse of a positive integer is always negative.
The additive inverse of a positive integer is always negative.
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The sum of two integers is always positive.
The sum of two integers is always positive.
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0 is a positive integer.
0 is a positive integer.
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The sum of four different integers can never be zero.
The sum of four different integers can never be zero.
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-1 is the greatest negative integer.
-1 is the greatest negative integer.
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How far are two cyclists from each other after 20 minutes if one travels 1200 m downward and the other travels 350 m upward?
How far are two cyclists from each other after 20 minutes if one travels 1200 m downward and the other travels 350 m upward?
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What is the position of a submarine floating at a depth of 640 m after ascending 230 m?
What is the position of a submarine floating at a depth of 640 m after ascending 230 m?
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What was the temperature one month ago if it drops by 15 °C and the current temperature is -4 °C?
What was the temperature one month ago if it drops by 15 °C and the current temperature is -4 °C?
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Which of the following statements is true regarding the closure property of addition?
Which of the following statements is true regarding the closure property of addition?
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Study Notes
Addition of Integers
- Add integers with like signs by adding their absolute values then applying the common sign
- Add integers with unlike signs by subtracting their absolute values (smaller from larger), then apply the sign of the integer with the larger absolute value
Additive Inverse
- For every integer a, there exists an opposite (-a) such that a + (-a) = 0
- a and -a are opposites or additive inverses of each other
Subtraction of Integers
- Subtraction is the inverse operation of addition
- To subtract an integer (b) from another (a), add the additive inverse of (b) to a: a - b = a + (-b)
Properties of Addition and Subtraction of Integers
- Closure Property of Addition: The sum of any two integers is an integer.
- Closure Property of Subtraction: The difference of any two integers is an integer
- Commutative Property of Addition: a + b = b + a
- Commutative Property of Subtraction: a - b ≠ b - a
- Associative Property of Addition: (a + b) + c = a + (b + c)
- Associative Property of Subtraction: (a - b) - c ≠ a - (b - c)
- Additive Identity Property: Add any integer to 0, and the sum is the integer: a + 0 = a
- Additive Inverse Property: Add any number to its additive inverse, and the sum is 0: a + (-a) = 0
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Description
This quiz covers the addition and subtraction of integers, focusing on rules for combining like and unlike signs. It also explores the concept of additive inverses and the properties that govern these arithmetic operations. Test your understanding of these foundational elements of integer arithmetic.
