Question

1. the numbers a, b, c, and 0 are shown on a number line. a is negative, b is positive, c is negative, and |c| > |a|. which expression has a positive value?

a. ( a div b )
b. ( b div c )
c. ( c \times b )
d. ( a \times c )

Explanation:

Step1: Analyze Option A

Negative ÷ Positive = Negative.
$a \div b = \text{Negative}$

Step2: Analyze Option B

Positive ÷ Negative = Negative.
$b \div c = \text{Negative}$

Step3: Analyze Option C

Negative × Positive = Negative.
$c \times b = \text{Negative}$

Step4: Analyze Option D

Negative × Negative = Positive.
$a \times c = \text{Positive}$

Answer:

D. $a \times c$