Use the Order of Operations to simplify (solve) the expression: 24 ÷ 23 - 4 • 5
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.
To simplify the expression 24 ÷ 23 - 4 • 5, we must follow the Order of Operations.
The Order of Operations is as follows:
1. Parentheses (simplify expressions inside parentheses first)
2. Exponents (simplify any exponential expressions)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Now let's simplify the expression step by step:
Step 1: There are no parentheses or exponents, so we move to the next step.
Step 2: Multiplication and Division (from left to right)
24 ÷ 23 - 4 • 5
= 1.04347826087 - 4 • 5
= 1.04347826087 - 20
Step 3: Now, perform the subtraction:
= 1.04347826087 - 20
= -18.95652173913
Therefore, the simplified expression is -18.95652173913.
To simplify the expression 24 ÷ 23 - 4 • 5 using the Order of Operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right), follow these steps:
Step 1: Start by evaluating the multiplication and division from left to right.
24 ÷ 23 is a division expression and doesn't have any exponents. Therefore, we can simply calculate 24 ÷ 23, which equals approximately 1.043 (rounded to three decimal places).
Step 2: Now, subtract the result from step 1 from the multiplication expression.
The multiplication expression 4 • 5 equals 20.
Step 3: Finally, subtract the result from step 1, 1.043, from the result from step 2, 20.
20 - 1.043 is equal to approximately 18.957 (rounded to three decimal places).
Therefore, the simplified expression 24 ÷ 23 - 4 • 5 is approximately equal to 18.957.