Final answer:
Option b. 19 is the correct answer, derived by first multiplying the absolute values and then adding them together, following order of operations.
Step-by-step explanation:
The correct answer is option b. 19. The absolute value of a number is the non-negative value of that number, regardless of its sign. Therefore, the absolute value of -3 is 3, and the absolute value of 4 is 4. Following the order of operations, multiplication comes before addition, so we first multiply the absolute value 4 by 4 to get 16, and then we add the absolute value of -3.
The calculation steps are as follows:
- |-3| = 3
- |4| = 4
- |4| x 4 = 16
- |-3| + (|4| x 4) = 3 + 16 = 19
Let's solve the expression step by step:
|-3| + |4| x 4
= 3 + 4 x 4
= 3 + 16
= 19
Therefore, the result is 19, which corresponds to option b) in the given options.