Question

Consider this formula: G = (A+ C²) * (E - 1)³ / D + B Show the order that a processor would follow to calculate G. To do so, break down the equation into the correct order of operations with one calculation per step. Show the formula for each step. Then find the value of G: if A = 5, B = 10, C = 3, D = 8, and E = 5.

Answer 1

The value of G, following the order of operations using the given values, is 122.

Step-by-step explanation:

To calculate the value of G using the formula G = (A+ C²) * (E - 1)³ / D + B and the given values A = 5, B = 10, C = 3, D = 8, and E = 5, we must follow the order of operations also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Below is a breakdown of the equation using the correct order of operations:

1. C² = 3² = 9
2. A + C² = 5 + 9 = 14
3. E - 1 = 5 - 1 = 4
4. (E - 1)³ = 4³ = 64
5. (A+ C²) * (E - 1)³ = 14 * 64 = 896
6. (A+ C²) * (E - 1)³ / D = 896 / 8 = 112
7. G = 112 + B = 112 + 10 = 122

Thus, following the appropriate order of operations, we find that G equals 122.