Which number is located at Point A on the number line?
A number line is shown from negative 10 to 10 with each interval mark on the number line representing one unit. Point A is labeled one interval mark to the right of negative 5.
A. –4
B. 4
C. –6
D. 6
Point A is located at $-5+1=-4$ on the number line, so the answer is $\boxed{\text{(A)}\ -4}$.
Which number is the opposite of Point B on the number line?
A number line is shown from negative 20 to 20 with each interval mark on the number line representing two units. Point B is located two interval marks to the left of 10.
A. 6
B. –6
C. 3
D. –3
Point B is located at $10-2\cdot 2=6$ on the number line. The opposite of 6 is $\boxed{\text{(B)}\ -6}$.
Find │7│.
A. 1 over 7
B. –7
C. 7
D. 0
The absolute value of a number is its distance from 0 on the number line, so the absolute value of 7 is simply 7. Therefore, the answer is $\boxed{\text{(C)}\ 7}$.
oh yea bot no more stress bc i was right it was a glitch in the system so i dont have a lot to dooooo
Glad to hear that the issue is resolved! Let me know if you need any further assistance.
Find │–14│.
A. 14
B. –14
C. start fraction 1 over 14 end fraction
D. 0
The absolute value of $-14$ is also 14, since again it is just the distance from 0 on the number line. Therefore, the answer is $\boxed{\text{(A)}\ 14}$.
If two integers have the same absolute value, which of the following is true about the integers?
A. They must be the same integer.
B. They must be opposite integers.
C. They could be the same or opposite integers.
D. There is not enough information to answer this question.
The absolute value of a number is its distance from 0 on the number line. If two integers have the same absolute value, they must be equidistant from 0, which means they are equal in distance and opposite in sign. Therefore, the answer is $\boxed{\text{(B)}\ \text{They must be opposite integers.}}$.
Compare using < , > , or =.
–15 _____ –21
A. <
B. >
C. =
$-15$ is to the right of $-21$ on the number line, so it is greater than $-21$. Therefore, the answer is $\boxed{\text{(B)}\ >}$.
Which number is greater than –24?
A. –42
B. –27
C. –16
D. –30
$-16$ and $-27$ are less than $-24$, so they cannot be the answer. $-30$ is less than $-24$, so it cannot be the answer either. $-42$ is to the left of $-24$ on the number line, so it is less than $-24$. Therefore, the only choice greater than $-24$ is $\boxed{\text{(B)}\ -27}$.
Which set of integers is ordered from least to greatest?
A. –13 , 4 , 0 , –8
B. –5 , –2 , 3 , 1
C. –12 , –8 , –4 , 7
D. 4, 6, 7, –10, 15
For choice A, we can arrange the numbers with least first and greatest last as $-13, -8, 0, 4$. For choice B, we can arrange the numbers as $-5, -2, 1, 3$. For choice C, we can arrange the numbers as $-12, -8, -4, 7$. For choice D, we can arrange the numbers as $-10, 4, 6, 7, 15$. Therefore, the answer is $\boxed{\text{(B)}\ -5 , -2 , 3 , 1}$.
Fill in the blank so that the set of integers is ordered from greatest to least.
5, 0, _____ , –14, –20
A. 3
B. –4
C. 1
D. –17
We see that $5$ is the greatest integer in this list, and $-20$ is the least integer in this list, so we need to fill in the blank with an integer between $5$ and $-20$. The only integer in the answer choices that satisfies this condition is $\boxed{\text{(B)}\ -4}$.
Which of the following is a true statement?
A. When comparing two integers, the integer with the bigger absolute value is always the greater integer.
B. When comparing two integers, the integer with the bigger absolute value could be the lesser integer.
C. When comparing two integers, the integer with the smaller absolute value is always the lesser integer.
D. When comparing two integers, the integer with the smaller absolute value cannot be the lesser integer.
Consider the integers $-5$ and $6$. The absolute value of $-5$ is 5, which is less than the absolute value of 6, which is 6. However, 6 is greater than $-5$. Therefore, the statement in choice A is not always true. By the same reasoning, we see that the statement in choice C is also not always true.
On the other hand, the integer with the bigger absolute value could be the lesser integer, as demonstrated by the example of $-5$ and 6. Therefore, the correct answer is $\boxed{\text{(B)}}$.