Rational numbers m and n are plotted on the number line below.
The number line showing numbers from -4 to 4 each divided into 4 segments has point n halfway between 0 and the first segment to the left of 0 and point m halfway between third and the fourth segment to the right of 0.
Based on the number line, which statement is true?
A
.
The value of is positive.
B
.
The value of is positive.
C
.
The value of is negative.
D
.
The value of is negative.
Based on the information given, the point n is halfway between 0 and the first segment to the left of 0. This means that n is a negative number.
The point m is halfway between the third and fourth segments to the right of 0. Since the fourth segment to the right of 0 is positive, m in this case must also be positive.
Therefore, the correct statement is:
B. The value of m is positive.
Based on the given information, we can determine the position of points n and m on the number line.
Point n is halfway between 0 and the first segment to the left of 0. This means that the value of n is negative, as it is on the left side of 0.
Point m is halfway between the third and fourth segments to the right of 0. Since m is to the right of 0, it is positive.
Therefore, the correct answer is:
B. The value of m is positive.
To determine the answer to this question, we need to understand the placement of points m and n on the number line.
The number line is divided into 4 segments. We know that point n is located halfway between 0 and the first segment to the left of 0. This means that n lies between -1 and 0.
Point m, on the other hand, is located halfway between the third and fourth segments to the right of 0. This means that m lies between 3 and 4.
Now we need to determine the values of the rational numbers m and n. Since point n is between -1 and 0, the value of n must be negative. This eliminates options A and B.
Additionally, since point m is between 3 and 4, the value of m must be positive. This eliminates option C.
Therefore, the correct answer is option D: The value of m is negative.