Use the Order of Operations to simplify (solve) the expression: 24 ÷ 23 - 4 • 5

1 answer

To solve the expression using the order of operations, we follow the acronym PEMDAS:

P: Parentheses (simplify any expressions inside parentheses)
E: Exponents (simplify any expressions with exponents)
MD: Multiply and Divide (perform multiplication and division operations from left to right)
AS: Add and Subtract (perform addition and subtraction operations from left to right)

The expression is: 24 ÷ 23 - 4 • 5

First, we don't have any parentheses or exponents, so we move on to the MD step.

24 ÷ 23 = 1.0434782608695652

Next, we perform the multiplication operation.

4 • 5 = 20

Now, we can perform the subtraction operation.

1.0434782608695652 - 20 = -18.956521739130435

So, the simplified expression is -18.956521739130435.