To solve the distance expression |−5−4|, we should first interpret what it means. The expression represents the distance between the two points -5 and -4 on a number line.
The distance formula in one dimension (for two points \( a \) and \( b \)) is given by:
\[ |a - b| \]
In this case, the two points are -5 and -4, so the calculation would be:
\[ |-5 - (-4)| = |-5 + 4| = |-1| = 1 \]
Now we need to identify which of the given options represents the correct points -5 and -4.
Looking at the options:
A. Point a at -5 and point b at 4 - Incorrect (point b is not -4).
B. Point a at -5 and point b at -4 - Correct (this is the right representation of the points).
C. Point a at -9 and point b at 4 - Incorrect (point a is not -5).
D. Point a at 4 and point b at 5 - Incorrect (neither point corresponds to -5 or -4).
Therefore, the correct answer is:
B. The number line between -9 and 8 shows point a at -5 and point b at -4.
3 answers