Use the Order of Operations to simplify (solve) the expression: 24 ÷ 23 - 4 • 5
To simplify the expression using the Order of Operations, we must follow the acronym PEMDAS:
P - Parentheses
E - Exponents (i.e., powers and square roots, etc.)
MD - Multiplication and Division (from left to right)
AS - Addition and Subtraction (from left to right)
The given expression is 24 ÷ 23 - 4 • 5.
First, we have to divide 24 by 23. 24 ÷ 23 equals approximately 1.043.
Now the expression becomes 1.043 - 4 • 5.
Next, we multiply 4 by 5. 4 • 5 equals 20.
Now the expression becomes 1.043 - 20.
Finally, we perform the subtraction. 1.043 - 20 equals -18.957.
Therefore, the simplified expression is approximately -18.957.
Can you simplify that?
Apologies for the mistake. Let's simplify the expression correctly:
The given expression is 24 ÷ 23 - 4 • 5.
According to the Order of Operations, we must perform multiplication and division before subtraction.
First, we multiply 4 by 5, which equals 20.
Now the expression becomes 24 ÷ 23 - 20.
Next, we divide 24 by 23. 24 ÷ 23 is approximately 1.043.
Now the expression becomes 1.043 - 20.
Finally, we perform the subtraction. 1.043 - 20 equals -18.957.
Therefore, the simplified expression is approximately -18.957.
To simplify the given expression using the Order of Operations (also known as PEMDAS), follow these steps:
1. Start with parentheses (none in this case).
2. Evaluate exponents (none in this case).
3. Perform any multiplication or division from left to right:
- Calculate 4 • 5 = 20.
- Calculate 24 ÷ 23 = 1.0434782608695652 (approximately).
4. Perform any addition or subtraction from left to right:
- Calculate 1.0434782608695652 - 20 = -18.956521739130434 (approximately).
Therefore, after simplifying the expression using the Order of Operations, we get -18.956521739130434 (approximately).
To simplify the given expression using the Order of Operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), follow these steps:
Step 1: Start by identifying any parentheses or brackets. In this case, there are none.
Step 2: Move on to any exponents. Again, there are none in this expression.
Step 3: Perform any multiplication and division from left to right. So we'll divide 24 by 23 first, and then multiply the result by 4.
24 ÷ 23 - 4 • 5
= 1.043 - 4 • 5
= 1.043 - 20
Step 4: Finally, perform any addition and subtraction from left to right. In this case, subtract 20 from 1.043.
1.043 - 20 = -18.957
Therefore, the simplified answer to the expression 24 ÷ 23 - 4 • 5 is approximately -18.957.