Question

the markings on the number line are evenly spaced. identify the other markings on the number line.
a:

b:

c:

d:

e:

f:

Explanation:

Step1: Find the interval between marks

The distance between \(-2.5\) and \(-1\) is \(|-1 - (-2.5)| = 1.5\). There are 3 intervals (from \(-2.5\) to A, A to B, B to \(-1\)), so each interval is \(\frac{1.5}{3}=0.5\).

Step2: Calculate A

A is 0.5 units to the right of \(-2.5\): \(-2.5 + 0.5=-2.0\)

Step3: Calculate B

B is 0.5 units to the right of A: \(-2.0 + 0.5=-1.5\)

Step4: Calculate C

C is 0.5 units to the right of \(-1\): \(-1 + 0.5=-0.5\)

Step5: Calculate D

D is 0.5 units to the right of 0: \(0 + 0.5 = 0.5\)

Step6: Calculate E

E is 0.5 units to the right of D: \(0.5 + 0.5 = 1.0\)

Step7: Calculate F

F is 0.5 units to the right of E: \(1.0 + 0.5 = 1.5\)

Answer:

A: \(-2.0\)
B: \(-1.5\)
C: \(-0.5\)
D: \(0.5\)
E: \(1.0\)
F: \(1.5\)