Question

What is the value of -1 + 0.5(2)squared+(0.5)squared(4)squared

Answer 1

To find the value of the expression -1 + 0.5(2)^2 + (0.5)^2(4)^2, calculate each part in the correct order to get a final result of 5.0.

Step-by-step explanation:

The student's question asks to evaluate the expression -1 + 0.5(2)^2 + (0.5)^2(4)^2. To solve it, we need to follow the correct order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right) - PEMDAS.

First, we calculate the exponent parts of the expression:

• (2)^2 = 4
• (4)^2 = 16

Next, we deal with the multiplication:

• 0.5 × 4 = 2.0
• (0.5)^2 × 16 = 0.25 × 16 = 4.0

Now, add all the components:

• -1 + 2.0 + 4.0 = 5.0

So the value of the expression is 5.0.