Evaluate the expression 43+ [(96 = 8) ~ 5] – 42.
The Correct Answer and Explanation is:
Let’s break down and evaluate the expression step by step:
The expression is:
43+[(96÷8)×5]−4243 + \left[ (96 \div 8) \times 5 \right] – 4243+[(96÷8)×5]−42
Step 1: Evaluate the parentheses
We begin by simplifying the expression inside the parentheses. The parentheses indicate that the operations inside them must be performed first.
In this case, we have 96÷896 \div 896÷8:
96÷8=1296 \div 8 = 1296÷8=12
Now, the expression becomes:
43+[12×5]−4243 + \left[ 12 \times 5 \right] – 4243+[12×5]−42
Step 2: Perform the multiplication
Next, we perform the multiplication 12×512 \times 512×5:
12×5=6012 \times 5 = 6012×5=60
So, the expression is now:
43+60−4243 + 60 – 4243+60−42
Step 3: Perform addition and subtraction
Now we evaluate the remaining operations from left to right.
First, add 43 and 60:
43+60=10343 + 60 = 10343+60=103
Next, subtract 42 from 103:
103−42=61103 – 42 = 61103−42=61
Final Answer:
The result of the expression is 61.
Explanation:
This expression uses basic order of operations (PEMDAS/BODMAS). According to this rule, we first perform any operations inside parentheses, then proceed with multiplication and division (from left to right), and finally, we complete the addition and subtraction (from left to right).
