Question

Which of these has a different value from the others?

a. (-3)(-6)(-9)
b. -(-18)(-9)
c. (-6)(27)
d. (18)(-3)(-3) (9)(3)(6)

Answer 1

Option d, (18)(-3)(-3), differs from the others as its value is positive (+162), whereas options a, b, and c each have a negative value of -162.

Step-by-step explanation:

The question requires us to identify which option among a, b, c, or d has a different value from the others by performing multiplication and considering the signs of the numbers. When multiplying numbers, the sign rules are important. Specifically:

• When two positive numbers multiply, the result is positive.
• When two negative numbers multiply, the result is also positive.
• When numbers with opposite signs multiply, the result is negative.

Now, let's evaluate each option:

1. a. (-3)(-6)(-9): Multiplying the first two negatives gives +18, then +18 multiplied by -9 equals -162.
2. b. -(-18)(-9): The negative of -18 is +18, and +18 multiplied by -9 equals -162.
3. c. (-6)(27): A negative multiplied by a positive gives -162.
4. d. (18)(-3)(-3): First, -3 multiplied by -3 gives +9, and +9 multiplied by 18 equals +162.

By comparison, options a, b, and c are equal to -162, while option d is equal to +162. Therefore, option d has a different value from the others.