High School

Evaluate \((98.7 + (2.622 \times 0.63 / 106))\).

a) 98.5
b) 98.6
c) 98.7
d) 98.8

Answer :

After calculating the nested expression, the result is approximately 98.7. Therefore, the answer the student is looking for is option c) (98.7), which matches the options given.

The question requires us to evaluate an arithmetic expression. To provide the student with the correct answer, I will first calculate the expression inside the parentheses (2.622 times 0.63/106), and then add this value to 98.7. Here is the step-by-step solution:

  1. Calculate the multiplication inside the parentheses: 2.622 x 0.63 = 1.65186.
  2. Divide the result by 106: 1.65186 / 106 = 0.015594
  3. Add this value to 98.7: 98.7 + 0.015594 ≈ 98.715594

Since we need to choose from options a) 98.5 b) 98.6 c) 98.7 d) 98.8, the closest value is (c) 98.7. Hence, the correct option is c) (98.7).