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Step into the world of mathematics with our "Integers and Absolute Value Quiz." This quiz is designed to test your proficiency in working with integers and understanding the concept of absolute value. Explore fundamental principles such as adding, subtracting, multiplying, and dividing integers. Delve into the intricacies of absolute value and its application in solving mathematical equations. Whether you're a student honing your skills or an enthusiast revisiting mathematical foundations, this quiz provides an engaging challenge. Sharpen your numerical acumen, master integer operations, and cultivate a deep understanding of absolute value. Test your mathematical prowess and enhance your problem-solving abilities Read morewith this insightful quiz.
Questions and Answers
1.
The following integer are in order from least to greatest.-3, 0, 6, -7, 9
A.
True
B.
False
Correct Answer
B. False
Explanation The integers are not in order from least to greatest because they are arranged in the following order: -3, 0, 6, -7, 9. The correct order from least to greatest should be: -7, -3, 0, 6, 9. Therefore, the answer is false.
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2.
The following integers are in order from least to greatest.-16, -10, -7, 1, 5, 20
A.
True
B.
False
Correct Answer
A. True
Explanation The given statement is true because the integers -16, -10, -7, 1, 5, and 20 are indeed arranged in order from least to greatest. Starting from -16, each subsequent integer in the list is greater than the previous one, with 20 being the greatest integer in the list. Therefore, the statement is true.
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3.
Which of the following is not an integer?
A.
-3
B.
2.7
C.
770
D.
0
Correct Answer
B. 2.7
Explanation The number 2.7 is not an integer because it has a decimal part. Integers are whole numbers without any fractional or decimal parts, and they can be positive, negative, or zero. In this case, -3, 770, and 0 are all whole numbers without any decimal parts, so they are integers. However, 2.7 has a decimal part of 0.7, so it is not an integer.
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4.
Which of the following is not an integer?
A.
-65
B.
228
C.
-8
D.
0.19
Correct Answer
D. 0.19
Explanation An integer is a whole number that can be positive, negative, or zero. -65, 228, and -8 are all integers because they are whole numbers. However, 0.19 is not an integer because it is a decimal number.
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5.
An integer is a whole number that can be either positive or negative.
A.
True
B.
False
Correct Answer
A. True
Explanation An integer is a mathematical term used to describe a whole number that can be positive, negative, or zero. It does not include fractions or decimals. Therefore, the statement that an integer can be either positive or negative is true.
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6.
Absolute value is the distance the number is away from 0 on a number line.
A.
True
B.
False
Correct Answer
A. True
Explanation The statement accurately describes the concept of absolute value. Absolute value measures the distance between a number and zero on a number line, regardless of whether the number is positive or negative. Therefore, the answer is true.
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7.
Evaluate.| 64 |
Correct Answer 64
Explanation The given expression "Evaluate |64|" is asking us to find the absolute value of 64. The absolute value of a number is the distance of that number from zero on the number line. Since 64 is a positive number, its absolute value is also 64. So, the answer is 64.
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8.
Select the integer with the greatest value.
A.
-125
B.
-138
C.
-67
D.
2
Correct Answer
D. 2
Explanation Among the given integers, 2 has the greatest value. The other integers, -125, -138, and -67, are all negative numbers and therefore have smaller values.
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9.
Select the integer with the greatest value.
A.
25
B.
30
C.
-17
D.
5
Correct Answer
B. 30
Explanation Among the given integers, 30 is the largest value.
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10.
Evaluate.| -64 |
Correct Answer 64
Explanation The given expression is | -64 |, which represents the absolute value of -64. The absolute value of a number is its distance from zero on a number line, so regardless of the sign, the absolute value is always positive. In this case, the absolute value of -64 is 64, as it is 64 units away from zero on the number line.
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11.
Select the integer with the greatest value.
A.
-5
B.
-12
C.
-6
D.
-37
Correct Answer
A. -5
Explanation The correct answer is -5 because it is the largest integer among the given options.
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12.
Evaluate.| -5 |
Correct Answer 5
Explanation The given expression is |-5| / 5. The absolute value of -5 is 5, so the expression simplifies to 5 / 5, which equals 1. Therefore, the answer is 1.
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13.
Which statement represents the following integer: 9?
A.
The temperature fell 9 degrees.
B.
I borrowed $9 from a friend to buy dinner.
C.
My team lost 9 points in our soccer tournament.
D.
Sarah deposited $9 in her account after she got paid for babysitting her neighbor.
Correct Answer
D. Sarah deposited $9 in her account after she got paid for babysitting her neighbor.
Explanation The statement "Sarah deposited $9 in her account after she got paid for babysitting her neighbor" represents the integer 9 because it indicates that Sarah added $9 to her account. The other statements do not involve adding or subtracting 9, but rather describe other unrelated actions or events.
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14.
Evaluate.| 3.25 |
Correct Answer 3.25
Explanation The given expression "Evaluate 3.25" is already in its simplest form and does not require any further calculations or simplifications. Therefore, the answer remains as 3.25.
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15.
Which of the following statements is true about the absolute value of integers?
A.
The absolute value of any integer is always positive.
B.
The absolute value of a positive integer is negative
C.
The absolute value of a negative integer is equal to the integer itself.
D.
The absolute value of zero is greater than zero.
Correct Answer
A. The absolute value of any integer is always positive.
Explanation The absolute value of an integer is the distance of that number from zero on a number line, regardless of direction. Therefore, the absolute value is always positive, except for zero, which has an absolute value of zero. The other statements are incorrect because the absolute value of a positive integer is positive, the absolute value of a negative integer is the positive version of that integer, and the absolute value of zero is exactly zero, not greater than zero.
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16.
Which of the following statements about absolute values is correct?
A.
The absolute value of a negative number is always negative.
B.
The absolute value of a positive number is always positive.
C.
The absolute value of a number is always greater than the original number.
D.
The absolute value of a number is its distance from zero on the number line.
Correct Answer
D. The absolute value of a number is its distance from zero on the number line.
Explanation The absolute value of a number is a measure of how far that number is from zero on the number line. It is always a non-negative value, and it represents the magnitude or size of the number without considering its sign (whether it's positive or negative).
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17.
The following integers are in order from least to greatest.-30, -5, -15, 0, 12, 65
A.
True
B.
False
Correct Answer
B. False
Explanation The given statement is false because the integers -30, -5, -15, 0, 12, 65 are not in order from least to greatest. The correct order from least to greatest would be -30, -15, -5, 0, 12, 65. Therefore, the answer is false.
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18.
Which statement represents the following integer: -15?
A.
I made a deposit of $15 to my bank account.
B.
Jessie dug a hole that was 15 feet deep.
C.
I increased my math score by 15 points.
D.
I won $15 at the writing contest.
Correct Answer
B. Jessie dug a hole that was 15 feet deep.
Explanation The statement "Jessie dug a hole that was 15 feet deep" represents the integer -15 because the word "dug" indicates a negative action, and the phrase "15 feet deep" indicates a negative depth.
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19.
Evaluate.- | 16 |
Correct Answer -16
Explanation The expression |-16| evaluates to 16 because the absolute value of a negative number is the positive equivalent. Therefore, the absolute value of -16 is 16. Subtracting 16 from 16 gives us 0. However, since the expression is preceded by a negative sign, the final answer is -16.
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20.
Evaluate.|- 9 |
Correct Answer 9
Explanation The given expression |-9| can be evaluated by taking the absolute value of -9, which is 9. Therefore, the answer is 9.
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21.
Select the integer with the greatest value.
A.
-5
B.
2
C.
-2
D.
5
Correct Answer
D. 5
Explanation The integer with the greatest value is 5 because it is the largest positive number among the given options. The negative numbers (-5 and -2) are smaller in value, and 2 is also smaller than 5. Therefore, 5 is the correct answer.
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22.
The following integers are in order from least to greatest.-120, -118, -127, -115, 107, -103
A.
True
B.
False
Correct Answer
B. False
Explanation The integers are not in order from least to greatest. The correct order should be: -127, -120, -118, -115, -103, 107. Therefore, the answer is false.
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23.
Evaluate.-| -30 |
Correct Answer -30
Explanation The given expression is |-30|. The absolute value of -30 is equal to 30. Therefore, the answer is -30.
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24.
The integers are in order from least to greatest.152, 157, 160, 172, 187
A.
True
B.
False
Correct Answer
A. True
Explanation The given integers are arranged in ascending order from least to greatest. Starting from the smallest number 152, each subsequent number is greater than the previous one. Therefore, the statement "The integers are in order from least to greatest" is true.
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