Evaluate the expression.
$4-5 \div 1$
Answer (1)
To evaluate the expression 4 − 5 d i v 1 :
Perform the division first: 5 d i v 1 = 5 .
Then, perform the subtraction: 4 − 5 = − 1 .
The final result is − 1 .
Explanation
Understanding the Order of Operations We need to evaluate the expression 4 − 5 d i v 1 . To do this, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). In this case, we have subtraction and division. According to the order of operations, we must perform the division before the subtraction.
Performing the Division First, we perform the division: 5 d i v 1 = 5 .
Performing the Subtraction Now, we perform the subtraction: 4 − 5 = − 1 .
Final Answer Therefore, the value of the expression 4 − 5 d i v 1 is − 1 .
Examples
Understanding the order of operations is crucial in many real-life scenarios, such as calculating expenses or determining the outcome of a series of events. For example, if you have a budget of $20 and you spend $5 on a coffee and then split the remaining amount equally between two friends, you need to first subtract the cost of the coffee from your budget ($20 - $5 = $15) and then divide the remaining amount by 2 ($15
div 2 = $7.50). If you performed the division before the subtraction, you would get the wrong answer.
