Question

What is the simplified value of the expression below?

[4.2 + frac0.6/3 - 5(0.9 - 0.5)]

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

Answer 1

The simplified value of the expression 4.2 + (0.6/3) - 5(0.9 - 0.5) is 2.4, which is reached by following the order of operations.

Step-by-step explanation:

The expression given is 4.2 + (0.6/3) - 5(0.9 - 0.5). To simplify it, follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

1. First, simplify inside the parentheses: (0.9 - 0.5) = 0.4.
2. Then, perform the multiplication by 5: 5 * 0.4 = 2.
3. After that, perform the division: (0.6/3) = 0.2.
4. Finally, perform the addition and subtraction in order from left to right: 4.2 + 0.2 - 2 = 4.4 - 2 = 2.4.

The simplified value of the expression is 2.4, which corresponds to option (a).