How to Solve a Math Expression with PEMDAS

What is -3 + 20 - 20 + (403 - 194) / 320?

How can we arrive at the result of approximately -2.346875 using the PEMDAS order of operations?

Answer:

The result of the expression -3 + 20 - 20 + (403 - 194) / 320 is approximately -2.346875.

Using the order of operations (PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division - from left to right, Addition and Subtraction - from left to right), we can calculate the expression as follows:

1. First, perform the subtraction within the parentheses:

-3 + 20 - 20 + (209) / 320

2. Next, divide:

-3 + 20 - 20 + 0.653125

3. Finally, perform the addition and subtraction from left to right:

-3 + 20 = 17

17 - 20 = -3

-3 + 0.653125 = -2.346875

So, by following the PEMDAS order of operations, we arrive at the result of approximately -2.346875 for the given math expression.