Question

Evaluate the expression for the given values. \(A \div B-C \cdot D,\) where \(A=10.8, B=0.12, C=2.4,\) and \(D=6\)

Short answer

Question: Given the expression \(A \div B - C \cdot D\) and the values A = 10.8, B = 0.12, C = 2.4, and D = 6, evaluate the expression using the correct order of operations (PEMDAS). Answer: 75.6

Step-by-step solution

1. Write the given expression with values

Replace A, B, C, and D in the expression with the given values: \(10.8 \div 0.12 - 2.4 \cdot 6\)

2. Perform multiplication and division first (PEMDAS)

Compute the division operation and the multiplication operation first: - \(10.8 \div 0.12 = 90\) - \(2.4 \cdot 6 = 14.4\) Now, rewrite the expression with these computed values: \(90 - 14.4\)

3. Perform subtraction

Subtract the second value from the first value: \(90 - 14.4 = 75.6\) The final result of the expression is: \(75.6\).