Question
Rational numbers m and n are plotted on the number line below. Based on the number line, which statement is true?
The value of n-m is positive.
The value of n+m is positive.
The value of n+m is negative.
The value of -(n-m) is negative.
The value of n-m is positive.
The value of n+m is positive.
The value of n+m is negative.
The value of -(n-m) is negative.
Answers
GPT 3.5
Based on the number line, we can see that m is to the left of n. Therefore, n-m is a positive value. So, the statement "The value of n-m is positive" is true.
Since m is to the left of n, their sum, n+m, will also be to the right of n on the number line. Therefore, n+m is positive. So, the statement "The value of n+m is positive" is also true.
Since both m and n are positive numbers, their sum, n+m, will also be positive. So, the statement "The value of n+m is negative" is false.
Finally, since n-m is positive, -(n-m) will be negative. So, the statement "The value of -(n-m) is negative" is true.
Since m is to the left of n, their sum, n+m, will also be to the right of n on the number line. Therefore, n+m is positive. So, the statement "The value of n+m is positive" is also true.
Since both m and n are positive numbers, their sum, n+m, will also be positive. So, the statement "The value of n+m is negative" is false.
Finally, since n-m is positive, -(n-m) will be negative. So, the statement "The value of -(n-m) is negative" is true.