Question

What is the simplified value of the expression below?

[4.2 + frac0.63 - 5(0.9 - 0.5)]

a) 2.4
b) 3.6
c) 4.3
d) 6.4

Answer 1

To simplify the expression, follow the order of operations and perform the necessary calculations step-by-step. The simplified value of the expression is 3.926.

Step-by-step explanation:

To simplify the expression [4.2 + \frac{0.63}{5} - (0.9 - 0.5)], we need to follow the order of operations, which is parentheses, exponentiation, multiplication and division (from left to right), and addition and subtraction (from left to right). Let's break it down:

1. Simplify within the parentheses: 0.9 - 0.5 = 0.4
2. Divide 0.63 by 5: \frac{0.63}{5} = 0.126
3. Substitute the calculated values back into the original expression: 4.2 + 0.126 - 0.4
4. Perform addition and subtraction: 4.2 + 0.126 = 4.326, and then subtract 0.4: 4.326 - 0.4 = 3.926

Therefore, the simplified value of the expression is 3.926.