1.
|10 - 3|
Correct Answer
D. 7
Explanation
The given expression is the absolute value of the difference between 10 and 3. The absolute value of a number is its distance from zero on the number line. In this case, the difference between 10 and 3 is 7, and since the absolute value only considers the distance, the answer is 7.
2.
|-14| + |5|
Correct Answer
A. 19
Explanation
The given expression involves finding the absolute value of -14 and adding it to the absolute value of 5. The absolute value of -14 is 14, and the absolute value of 5 is 5. Adding these two values together gives us 19, which is the correct answer.
3.
What is the opposite of -17?
Correct Answer
D. 17
Explanation
The opposite of a negative number is the positive version of that number. In this case, the opposite of -17 would be 17.
4.
Which integer is greater than -5?
Correct Answer
B. -2
Explanation
The integer -2 is greater than -5 because it is further to the right on the number line. When comparing negative numbers, the one with the larger absolute value is considered greater. In this case, -2 has a larger absolute value than -5, making it the greater integer.
5.
Select the statement that is true.
Correct Answer
C. |14| = |-14|
Explanation
The statement "|14| = |-14|" is true because the absolute value of both 14 and -14 is 14. The absolute value of a number is its distance from zero on the number line, so regardless of the sign, the absolute value of 14 and -14 is the same.
6.
Complete this comparison: 9 ___ -8
Correct Answer
A. >
Explanation
The correct answer is ">". This symbol represents the concept of "greater than". In the given comparison, 9 is greater than -8.
7.
Complete the comparison: -6 ____ -7
Correct Answer
B. >
Explanation
The symbol ">" represents the greater than operator. In this comparison, -6 is greater than -7.
8.
Order -5, -7, 4, and 0 from least to greatest.
Correct Answer
C. -7, -5, 0, 4
Explanation
The given answer arranges the numbers in ascending order from least to greatest. It starts with the smallest number, -7, followed by -5, then 0, and finally 4.
9.
________ is the distance from zero.
Correct Answer
absolute value
Explanation
The absolute value is the distance from zero. It represents the magnitude of a number without considering its sign. For example, the absolute value of -5 is 5, and the absolute value of 5 is also 5. Therefore, the answer to the question is "absolute value."
10.
The ________ of 7 is -7.
Correct Answer
opposite
Explanation
The term "opposite" refers to a number that has the same magnitude but opposite sign as another number. In this case, the blank is asking for a word that describes the relationship between a number and its opposite. The opposite of 7 is -7 because they have the same magnitude (absolute value) of 7 but different signs.
11.
If Trey ran 2 miles and Dave ran 10,400 feet, who ran further?
Correct Answer
B. Trey
Explanation
Trey ran further than Dave because 2 miles is a greater distance than 10,400 feet.
12.
How many inches are in 17 yards?
Correct Answer
C. 612
Explanation
There are 36 inches in a yard. To convert yards to inches, we multiply the number of yards by 36. Therefore, to find the number of inches in 17 yards, we multiply 17 by 36, which equals 612.
13.
Choose any that are equal to 9 feet.
Correct Answer(s)
A. 3 yards
D. 108 inches
Explanation
1 yard is equal to 3 feet, so 3 yards is equal to 9 feet.
1/3 yard is equal to 1 foot, which is not equal to 9 feet.
1 foot is equal to 12 inches, so 324 inches is equal to 27 feet, which is not equal to 9 feet.
1 foot is equal to 12 inches, so 108 inches is equal to 9 feet.
14.
Select any value equal to 1/4 miles.
Correct Answer(s)
B. 1320 feet
D. 440 yards
G. 15840 inches
Explanation
The correct answer is 1320 feet, 440 yards, and 15840 inches. These values are equal to 1/4 miles. There are 5280 feet in a mile, so 1/4 of that is 1320 feet. Similarly, there are 1760 yards in a mile, so 1/4 of that is 440 yards. Lastly, there are 63360 inches in a mile, so 1/4 of that is 15840 inches.
15.
Select those that have a value of 5.
Correct Answer(s)
A. |5|
B. |-5|
C. |10-5|
G. |14 - 9|
Explanation
The given answer includes all the options that have a value of 5. These are |5|, |-5|, |10-5|, and |14 - 9|.