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

Answer 1

To simplify the expression \( 24 \div 23 - 4 \cdot 5 \) using the Order of Operations (often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)), follow these steps:

1. Division and Multiplication come before subtraction.

2. First, calculate \( 24 \div 23 \):

   \[ 24 \div 23 \approx 1.043478 \]

3. Next, calculate \( 4 \cdot 5 \):

   \[ 4 \cdot 5 = 20 \]

4. Now substitute these values back into the expression:

   \[ 1.043478 - 20 \]

5. Finally, perform the subtraction:

   \[ 1.043478 - 20 \approx -18.956522 \]

Thus, the simplified expression is approximately:

\[ \boxed{-18.956522} \]

Answer 2

forgot to include the answer chooices

-16
-16

1,708
1,708

-17
-17

60

Answer 3

Let's go through the expression \( 24 \div 23 - 4 \cdot 5 \) again step by step, ensuring that we check our calculations carefully, focusing on the final value to match against your provided answer choices.

1. Calculate \( 24 \div 23 \):

   \[ 24 \div 23 \approx 1.043478 \]

2. Calculate \( 4 \cdot 5 \):

   \[ 4 \cdot 5 = 20 \]

3. Now put these values back into the expression:

   \[ 1.043478 - 20 \]

4. Now perform the subtraction:

   \[ 1.043478 - 20 = -18.956522 \]

Since \(-18.956522\) does not match any of your answer choices, let’s instead ensure we compute correctly and see if there are any simplification rules we might have overlooked.

Re-checking:

• Since we have already calculated \( 24 \div 23 \) and \( 4 \cdot 5 \) accurately, let's simplify for clarity:

We see that from the original expression:

1. For \( 4 \cdot 5 \) we get:

   \[ 20 \]

2. Subtracting gives:

   \[ 1.043478 - 20 = -18.956522 \]

Since this is entirely consistent, it appears that none of the given choices are valid based on computations from the provided expression.

However, if we consider rounding to integer values, the closest integer would be \(-19\) which is still outside your provided options.

Please verify the original expression or the options shared, or can you give further context? If the expression or any part of it changes, it might yield a closer match to your answer choices.