Question

What is the value of the expression below?

102−5⋅2(4)(8)−−−−−−√3

Answer 1

Explanation:

To find the value of the expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Let's break down the expression step by step:

Start with the innermost parentheses:

102 - 5 * 2 * 4 * 8 - √3

Perform the multiplications and divisions from left to right:

102 - (5 * 2 * 4 * 8) - √3

102 - (40 * 8) - √3

Continue with the multiplications and divisions:

102 - (320) - √3

Now, subtract 320 from 102:

102 - 320 - √3 = -218 - √3

So, the value of the expression is -218 - √3.