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.