Section 1.3 - Integer Operations With Powers

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  • 1/10 Questions

    Which expression will result in a positive integer?

    • -4(-3 + 5)^2
    • 6(4 - 6)^2
    • -7(-5 + 7)^3
    • 5(3 - 6)^3
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Are you a student or do you enjoy gaining knowledge in your mind out there in the world? If your answer to the above is yes then this quiz will assist you to measure how much you know about integer operations.

Integer Operations Quizzes & Trivia

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  • 2. 

    Which value makes the equation true?   ___^3 = -216

    • -6

    • -4

    • 4

    • 6

    Correct Answer
    A. -6
    Explanation
    The given equation is asking for a value that, when raised to the power of 3, equals -216. The correct answer is -6 because when -6 is cubed, it equals -216.

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  • 3. 

    Evaluate the expression when x = -5, and y = 4   (x^3 + y^2)

    • -141

    • -109

    • 109

    • 141

    Correct Answer
    A. -109
    Explanation
    The expression requires us to substitute the given values of x and y into the equation and then evaluate it. When we substitute x = -5 and y = 4 into the equation (x^3 + y^2), we get (-5^3 + 4^2). This simplifies to (-125 + 16) which equals -109. Therefore, the correct answer is -109.

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  • 4. 

    Which evaluation will result in a positive integer?

    • -8^2

    • -(-8)^2

    • -(8)^2

    • (-8)^2

    Correct Answer
    A. (-8)^2
    Explanation
    The expression (-8)^2 will result in a positive integer because when a negative number is raised to an even power, the result is always positive. In this case, (-8)^2 means multiplying -8 by itself, resulting in 64, which is a positive integer.

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  • 5. 

    Evaluate the expression  -3 - (-6 + 4^2)

    • -13

    • -1

    • 1

    • 5

    Correct Answer
    A. -13
    Explanation
    To evaluate the expression, we start by calculating the value inside the parentheses first. (-6 + 4^2) means we need to square 4 first, which gives us 16. Then, we add -6 to 16, resulting in 10. Now, we can substitute this value back into the expression: -3 - 10. By subtracting 10 from -3, we get -13. Therefore, the correct answer is -13.

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  • 6. 

    If a is a positive integer, which best describes the evaluation of: a^2 - (-a^2)?

    • The answer will be a negative integer

    • The answer will be 0

    • The answer will be a positive integer

    • The evaluation can be either postive or negative

    Correct Answer
    A. The answer will be a positive integer
    Explanation
    When we simplify the expression a^2 - (-a^2), we can rewrite it as a^2 + a^2, which is equal to 2a^2. Since a is a positive integer, squaring it will also result in a positive integer. Therefore, when we multiply a positive integer by 2, the answer will still be a positive integer. Hence, the answer will be a positive integer.

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  • 7. 

    Evaluate the expression when x = - 4 and y = - 2   -----  2x^3(-y^4)

    • -2048

    • -256

    • 256

    • 2048

    Correct Answer
    A. 2048
    Explanation
    When x = -4 and y = -2, we can substitute these values into the expression 2x^3(-y^4):

    2(-4)^3(-(-2)^4)

    Simplifying the expression inside the parentheses:

    2(-64)(-16)

    Multiplying the numbers:

    -128(-16)

    Multiplying the numbers again:

    2048

    Therefore, the correct answer is 2048.

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  • 8. 

    Evaluate the expression 4(-3^2)

    • -144

    • -36

    • 36

    • 144

    Correct Answer
    A. -36
    Explanation
    The expression 4(-3^2) can be simplified by first evaluating the exponent, which is -3^2. According to the order of operations, exponentiation should be done before multiplication. Squaring -3 gives us 9. Then, we multiply 4 by 9, resulting in -36. Therefore, the correct answer is -36.

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  • 9. 

    Assume b is a negative integer.  Which best describes the difference of b^2 - b^2

    • The difference is negative

    • The difference is 0

    • The difference is positive

    • The difference can be negative or positive

    Correct Answer
    A. The difference is 0
    Explanation
    The difference between b^2 and b^2 is always 0, regardless of the value of b. This is because when you subtract the same value from itself, the result is always 0. Therefore, the correct answer is that the difference is 0.

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  • 10. 

    Evaluate the expression ((-4^2) - 8) / -2^3

    • -3

    • -1

    • 1

    • 3

    Correct Answer
    A. 3
    Explanation
    The given expression can be simplified by following the order of operations. First, we calculate the exponentiation: -4^2 equals -16 and -2^3 equals -8. Then, we perform the subtraction: -16 - 8 equals -24. Finally, we divide -24 by -8 which gives us 3. Therefore, the correct answer is 3.

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  • Current Version
  • Mar 18, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 31, 2009
    Quiz Created by
    Seixeiroda
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