Unit Two - Integer Operations

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  • 1/51 Questions
    A number to the first power is itself.  Example:  - ProProfs

    A number to the first power is itself.  Example: 

    • True
    • False
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About This Quiz

This quiz titled 'Unit Two - Integer Operations' assesses understanding of integer operations, including multiplication and addition of integers. It evaluates the ability to compute temperature differences and solve integer equations, crucial for developing mathematical proficiency.

Unit Two - Integer Operations - Quiz

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  • 2. 
    Which integer addition problem does this model? - ProProfs

    Which integer addition problem does this model?

    • -5 + (-2) = -7

    • 5 + 2 = 7

    • -2 + (-7) = 5

    • -2 + (-7) = -5

    Correct Answer
    A. -5 + (-2) = -7
    Explanation
    The given addition problem is -5 + (-2) which equals -7. This is the correct answer because when adding two negative numbers, the result will be negative. Since -5 and -2 are both negative, their sum will also be negative. The sum of -5 and -2 is -7.

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  • 3. 

    -2 (9)

    • 18

    • -18

    • 7

    • 11

    Correct Answer
    A. -18
    Explanation
    Negative times a positive is a negative

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  • 4. 

    -2 (9)

    • 18

    • -18

    • 7

    • 11

    Correct Answer
    A. -18
    Explanation
    Negative times a positive is a negative

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  • 5. 

    Solve:5 + (-2)

    • 7

    • 3

    • -3

    • -7

    Correct Answer
    A. 3
    Explanation
    The given expression is 5 + (-2). To solve this, we add 5 and -2 together. When we add a positive number and a negative number, we subtract the smaller number from the larger number and keep the sign of the larger number. In this case, 5 is larger than 2, so we subtract 2 from 5 and keep the positive sign. Therefore, 5 + (-2) equals 3.

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  • 6. 

    3 + (-2)

    • 5

    • -1

    • 1

    Correct Answer
    A. 1
    Explanation
    The given expression is 3 + (-2). When we add a positive number and a negative number, we subtract the absolute value of the smaller number from the absolute value of the larger number and keep the sign of the larger number. In this case, the absolute value of 3 is larger than the absolute value of -2, so we subtract 2 from 3 and keep the positive sign. Therefore, 3 + (-2) equals 1.

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  • 7. 

    -9/3

    • -3

    • 3

    • -6

    Correct Answer
    A. -3
    Explanation
    The given expression -9/3 can be simplified by dividing -9 by 3, which equals -3. Therefore, the correct answer is -3.

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  • 8. 

    -2 (9)

    • 18

    • -18

    • 7

    • 11

    Correct Answer
    A. -18
    Explanation
    Negative times a positive is a negative

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  • 9. 

    -81 - (-3) =

    • -84

    • 78

    • -78

    • 84

    Correct Answer
    A. -78
    Explanation
    The given expression is -81 - (-3). When we subtract a negative number, it is equivalent to adding the positive value of that number. Therefore, -81 - (-3) can be rewritten as -81 + 3. Adding -81 and 3 gives us -78. Hence, the correct answer is -78.

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  • 10. 

    (-4) - 9

    • -13

    • -5

    • 5

    Correct Answer
    A. -13
    Explanation
    The given expression is (-4) - 9. To simplify this, we subtract 9 from -4. When subtracting a positive number from a negative number, we add the opposite of that positive number. Therefore, -4 - 9 can be rewritten as -4 + (-9). Adding -4 and -9 gives us -13. So, the correct answer is -13.

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  • 11. 

    -3(-9)

    • 27

    • -27

    • 12

    Correct Answer
    A. 27
    Explanation
    When we simplify -3(-9), we multiply -3 by -9, which gives us 27. Therefore, the correct answer is 27.

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  • 12. 

    A negative number plus a positive number always gives a negative answer.

    • True

    • False

    Correct Answer
    A. False
    Explanation
    The statement is false because when a negative number is added to a positive number, the sum will always depend on the magnitudes of the numbers involved. If the positive number has a greater magnitude than the negative number, the sum will be positive. However, if the negative number has a greater magnitude, the sum will be negative. Therefore, it is not always true that a negative number plus a positive number gives a negative answer.

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  • 13. 

    Solve:-3 - (-4)

    • -7

    • 1

    • 0

    • -7

    Correct Answer
    A. 1
    Explanation
    The expression -3 - (-4) can be simplified by changing the subtraction of a negative number to addition. So, -3 - (-4) becomes -3 + 4, which equals 1.

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  • 14. 

     The temperature outside in the morning is 8º F. Throughout the course of the day, the temperaturedrops 12º F. What is the new temperature?

    • 20 degrees

    • -4 degrees

    • 12 degrees

    • 4 degrees

    Correct Answer
    A. -4 degrees
    Explanation
    Throughout the course of the day, the temperature drops 12º F. Since the initial temperature is 8º F, a drop of 12º F would result in a new temperature of -4º F.

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  • 15. 

    19 - (-5) =

    • 24

    • -24

    • 14

    • -14

    Correct Answer
    A. 24
    Explanation
    When subtracting a negative number from a positive number, we can think of it as adding the positive number to the absolute value of the negative number. In this case, 19 - (-5) becomes 19 + 5, which equals 24.

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  • 16. 

    The temperature in Fishersville on December 12 was 14 degrees.  The temperature at the top of Afton Mountain was -2 degrees.  What's the difference between these two temperatures?

    • 12 degrees

    • 2 degrees

    • 16 degrees

    • -16 degrees

    Correct Answer
    A. 16 degrees
    Explanation
    Think about these two temperatures on a thermometer. To go from 12 degrees to -2 degrees you have to go 16 spaces. What we're really asking is a subtraction problem. 12 - (-2) and that's the same as 12 + 2

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  • 17. 

    Which one has a different answer from the rest?

    • 4 + (-5)

    • -7 + 6

    • 5 + (-4)

    • 6 + (-7)

    Correct Answer
    A. 5 + (-4)
    Explanation
    All the given expressions involve addition of a positive number and a negative number, except for 5 + (-4). In this expression, both numbers are negative.

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  • 18. 

    196 + (-8) =

    • -204

    • 204

    • -188

    • 188

    Correct Answer
    A. 188
    Explanation
    The given question asks for the sum of 196 and -8. When adding a positive number to a negative number, we subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value. In this case, the absolute value of 196 is larger than the absolute value of -8. So, we subtract 8 from 196 and keep the positive sign, resulting in 188. Therefore, the correct answer is 188.

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  • 19. 

    The sum of two negative integers is always

    • Positive

    • Negative

    • Zero

    • Cannot tell (depends)

    Correct Answer
    A. Negative
    Explanation
    When we add two negative integers, the result will always be a negative integer. This is because adding two negative numbers is essentially combining two quantities that are less than zero, resulting in a value that is even smaller and negative. Therefore, the sum of two negative integers is always negative.

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  • 20. 

    -8 (-7)

    • -56

    • -15

    • 1

    • 56

    Correct Answer
    A. 56
    Explanation
    Negative times negative is positive

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  • 21. 

    -8 (-7)

    • -56

    • -15

    • 1

    • 56

    Correct Answer
    A. 56
    Explanation
    Negative times negative is positive

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  • 22. 

    Solve:-7 + (-9) =

    • 16

    • -2

    • 2

    • -16

    Correct Answer
    A. -16
    Explanation
    The given expression is asking for the sum of -7 and -9. When we add these two negative numbers, we get a more negative number. In this case, -7 + (-9) equals -16.

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  • 23. 

    The temperature in Alaska is -10 degrees.  The temperature in Florida is 90 degrees. What is the difference in the temperatures?

    • 80 degrees

    • 100 degrees

    • 110 degrees

    • No difference

    Correct Answer
    A. 100 degrees
    Explanation
    The difference in temperature between Alaska and Florida is 100 degrees. This is calculated by subtracting the temperature in Alaska (-10 degrees) from the temperature in Florida (90 degrees). The result is 100 degrees.

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  • 24. 

    - 243 + 18=

    • -225

    • -261

    • 225

    • 261

    Correct Answer
    A. -225
    Explanation
    The given question is a simple addition problem. When we add 243 and 18, we get a sum of 261. However, the answer given is -225. This suggests that there is a mistake in the calculation or the answer choices provided. Without further information, it is not possible to determine the correct explanation or provide a valid answer.

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  • 25. 

    A negative number times a negative number will:

    • Sometimes result in a positive answer

    • Will always result in a positive answer

    • Will sometimes result in a negative answer

    • Will always result in a negative answer

    Correct Answer
    A. Will always result in a positive answer
    Explanation
    When two negative numbers are multiplied, the result is always a positive number. This can be understood by considering the concept of multiplication as repeated addition. If we have a negative number, adding it to itself multiple times will result in a negative number. However, when we multiply two negative numbers, the negative signs cancel out, and we are left with a positive product. Therefore, a negative number times a negative number will always result in a positive answer.

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  • 26. 

    The sum of two negative integers is always

    • Positive

    • Negative

    • Zero

    • Cannot tell (depends)

    Correct Answer
    A. Negative
    Explanation
    When two negative integers are added, the result will always be negative. This is because adding a negative number is equivalent to subtracting a positive number. So, when two negative numbers are added, the negatives cancel out and the result remains negative.

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  • 27. 

    -8 (-7)

    • -56

    • -15

    • 1

    • 56

    Correct Answer
    A. 56
    Explanation
    Negative times negative is positive

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  • 28. 

    Mrs. Shumate fell down a hole that was 22 feet deep.  She climbed up 10 feet before falling 5 feet.  Which one show the correct addition problem and answer?

    • 22 - 10 + 5 - -17

    • -22 + 10 + (-5) = -37

    • -22 + 10 + (-5) = -17

    • -22 + (-10) - 17 = -49

    Correct Answer
    A. -22 + 10 + (-5) = -17
    Explanation
    Mrs. Shumate fell down a 22-foot deep hole. She climbed up 10 feet, which is represented by the positive addition of 10. However, she then fell back 5 feet, which is represented by the negative addition of -5. Therefore, the correct addition problem is -22 + 10 + (-5), which equals -17.

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  • 29. 

    A negative number times a positive number always gives a negative answer.

    • True

    • False

    Correct Answer
    A. True
    Explanation
    When multiplying a negative number by a positive number, the negative sign of the first number indicates a reversal or opposite direction. This means that the two numbers are in opposite directions, resulting in a negative product. Therefore, it is true that a negative number times a positive number always gives a negative answer.

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  • 30. 

    -48 - 12=

    • 60

    • -60

    • -36

    • 36

    Correct Answer
    A. -60
    Explanation
    To find the solution to the equation -48 - 12, we need to subtract 12 from -48. Subtracting a negative number is the same as adding its positive counterpart. So, subtracting 12 from -48 is equivalent to adding 12 to -48. When we add 12 to -48, we get -36. Therefore, the correct answer is -36.

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  • 31. 

    Solve:5 - (-9) =

    • -4

    • 4

    • 14

    • -14

    Correct Answer
    A. 14
    Explanation
    The expression 5 - (-9) can be simplified by applying the rule of subtracting a negative number, which is equivalent to adding the positive value. Therefore, -(-9) becomes +9, resulting in 5 + 9. Adding 5 and 9 gives the final answer of 14.

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  • 32. 

     The absolute value of any negative integer is always positive.

    • True

    • False

    Correct Answer
    A. True
    Explanation
    The absolute value of a number represents its distance from zero on the number line, so it is always positive. Since negative integers are less than zero, their absolute values will be positive. Therefore, the statement is true.

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  • 33. 
    The following numbers are correctly placed in ascending order: - ProProfs

    The following numbers are correctly placed in ascending order:

    • True

    • False

    Correct Answer
    A. True
    Explanation
    The given numbers "True" and "False" are placed in ascending order correctly. In ascending order, "True" comes before "False" alphabetically. Therefore, the correct answer is "True".

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  • 34. 
    The high temperature on December 22 was .  That evening the temperature dropped to .  What's the difference between those two temperatures? - ProProfs

    The high temperature on December 22 was .  That evening the temperature dropped to .  What's the difference between those two temperatures?

    • 18 degrees

    • -24 degrees

    • 24 degrees

    • -18 degrees

    Correct Answer
    A. 24 degrees
    Explanation
    The question asks for the difference between the high temperature on December 22 and the temperature that evening. Since the temperature dropped, we can assume that the high temperature was higher than the temperature in the evening. Therefore, the difference between the two temperatures would be the high temperature minus the evening temperature. Since the answer is 24 degrees, it means that the high temperature was 24 degrees higher than the evening temperature.

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  • 35. 

    The temperature at 3:00 PM was 15 degrees. At midnight the temperature was -2 degrees. What's the difference between those two temperatures?

    • 17 degrees

    • 13 degrees

    • -13 degrees

    • -17 degrees

    Correct Answer
    A. 17 degrees
    Explanation
    The difference between the temperature at 3:00 PM (15 degrees) and the temperature at midnight (-2 degrees) is calculated by subtracting the lower temperature from the higher temperature. In this case, 15 - (-2) = 17 degrees. Therefore, the correct answer is 17 degrees.

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  • 36. 

     The absolute value of any integer is always positive.

    • True

    • False

    Correct Answer
    A. True
    Explanation
    The absolute value of any integer is always positive because it represents the distance of the integer from zero on the number line. Since distance cannot be negative, the absolute value is always positive.

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  • 37. 

    The town of Apple Valley, California is at an elevation of 2,900 feet above sea level. Death Valley, California has an elevation of 282 feet below sea level. What is the difference in elevation of these two towns?

    • 2,616 feet

    • 3,182 feet

    • -2,616 feet

    • -3,182 feet

    Correct Answer
    A. 3,182 feet
    Explanation
    The difference in elevation between Apple Valley and Death Valley is 3,182 feet. This is calculated by subtracting the elevation of Death Valley (-282 feet) from the elevation of Apple Valley (2,900 feet). The negative sign indicates that Death Valley is below sea level, while Apple Valley is above sea level.

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  • 38. 

    The product of a positive integer and its opposite is always 

    • Positive

    • Negative

    • Zero

    • Cannot tell (depends)

    Correct Answer
    A. Negative
    Explanation
    The product of a positive integer and its opposite will always result in a negative number. This is because when we multiply a positive number by a negative number, the result is always negative. Therefore, the answer is negative.

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  • 39. 
    - ProProfs

    • Point E

    • Point F

    • Point G

    • Point H

    Correct Answer
    A. Point F
  • 40. 

    Which statement is false?

    • Multiplying a negative number times a negative number results in a positive number

    • Adding two positive numbers results in a positive answer

    • Subtracting a negative number from a negative number will always result in a negative answer

    • Dividing a positive number by a negative number will result in a negative answer

    Correct Answer
    A. Subtracting a negative number from a negative number will always result in a negative answer
    Explanation
    The statement "subtracting a negative number from a negative number will always result in a negative answer" is false. When subtracting a negative number from a negative number, it is equivalent to adding a positive number. This results in a positive answer, not a negative one.

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  • 41. 

    The product of a negative integer and its opposite is always 

    • Positive

    • Negative

    • Zero

    • Cannot tell (depends)

    Correct Answer
    A. Negative
    Explanation
    When multiplying a negative integer with its opposite, the result is always negative. This is because when we multiply two numbers with opposite signs, the product will have the sign of the negative number. In this case, since one of the numbers is negative, the product will also be negative.

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  • 42. 
    12 - ProProfs

    12

    • True

    • False

    Correct Answer
    A. True
  • 43. 

    Any number to the 0 power is always 0.

    • True

    • False

    Correct Answer
    A. False
    Explanation
    The statement "Any number to the 0 power is always 0" is incorrect. In fact, any number to the power of 0 is always equal to 1. This is a fundamental mathematical rule that applies to all numbers.

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  • 44. 

    A bird is flying above the ocean at a height of 20 feet above sea level.  A fish is under the ocean at 10 feet below sea level.  What is the difference between their locations?

    • 10 feet

    • -10 feet

    • 30 feet

    • -30 feet

    Correct Answer
    A. -10 feet
    Explanation
    The bird is flying 20 feet above sea level, while the fish is 10 feet below sea level. To find the difference between their locations, we can subtract the fish's location from the bird's location. So, 20 feet - (-10 feet) = 20 feet + 10 feet = 30 feet. However, the question asks for the difference, not the sum. Therefore, the correct answer is -10 feet, indicating that the fish is 10 feet below the bird's location.

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  • 45. 

    Which one is true?

    • -10 + 14 = -4

    • -7 + (-7) = 0

    • -10 + (-14) = -4

    • 3 - (-8) = 11

    Correct Answer
    A. 3 - (-8) = 11
    Explanation
    The given equation 3 - (-8) = 11 is true because when we subtract a negative number from a positive number, the two negatives cancel out and become positive. In this case, -8 becomes +8, and then we have 3 + 8 = 11.

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  • 46. 

    4/5 converted to a decimal is:

    • 0.08

    • 0.8

    • _ 0.8

    • 80

    Correct Answer
    A. 0.8
    Explanation
    The fraction 4/5 can be converted to a decimal by dividing the numerator (4) by the denominator (5). When we do this calculation, we get 0.8. Therefore, the correct answer is 0.8.

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  • 47. 

    In your own words, explain the rule for adding numbers that have the same sign....example -4 + (-4)

  • 48. 

    In your own words, explain the rule for adding numbers that have different signs.... example:  4 + (-2)

  • 49. 

    In your own words, explain the rule for subtracting integers:  Example:  5 - (-9)

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  • Current Version
  • Mar 14, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 29, 2014
    Quiz Created by
    Elovell53

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