Question

each lettered point represents a location on the number line. choose true or false for each statement.
a. b is the location of $-3\frac{1}{2}$. \\(\square\\) true \\(\square\\) false
b. c is a positive number. \\(\square\\) true \\(\square\\) false
c. b and d are opposites. \\(\square\\) true \\(\square\\) false
d. the distance between a and b is negative. \\(\square\\) true \\(\square\\) false
e. the absolute value of a is greater than the value of f. \\(\square\\) true \\(\square\\) false

Explanation:

Step1: Evaluate statement a

Point B is at $-2.5 = -2\frac{1}{2}$, not $-3\frac{1}{2}$.

Step2: Evaluate statement b

Point C is at 0, which is neither positive nor negative.

Step3: Evaluate statement c

Point B is at $-2.5$, point D is at 2. Their sum is $-2.5 + 2 = -0.5
eq 0$, so they are not opposites.

Step4: Evaluate statement d

Distance is always non-negative, so it cannot be negative.

Step5: Evaluate statement e

Absolute value of A ($|-5| = 5$) is greater than value of F (4), since $5 > 4$.

Answer:

a. False
b. False
c. False
d. False
e. True