-2-x-(3%2F5)-3x-(3%2F5)0.jpeg "(5/9)-2 X (3/5)-3x (3/5)0")
Evaluating the Expression: (5/9) - 2 × (3/5) - 3 × (3/5)0
In this article, we will evaluate the algebraic expression (5/9) - 2 × (3/5) - 3 × (3/5)0. To do this, we need to follow the order of operations (PEMDAS) and evaluate the expression step by step.
Step 1: Simplify the Expression
The given expression is (5/9) - 2 × (3/5) - 3 × (3/5)0.
First, let's evaluate the expressions inside the parentheses:
(3/5)0= 1 (since any number raised to the power of 0 is equal to 1)
So, the expression becomes (5/9) - 2 × (3/5) - 3 × 1
Step 2: Evaluate the Multiplication
Next, let's evaluate the multiplication:
2 × (3/5)=2 × 0.6=1.2
So, the expression becomes (5/9) - 1.2 - 3
Step 3: Evaluate the Subtractio
Now, let's evaluate the subtraction:
(5/9)=0.555...(approximate value)
So, the expression becomes 0.555... - 1.2 - 3
Step 4: Final Evaluation
Finally, let's evaluate the final expression:
0.555... - 1.2 - 3 ≈ -3.645... (approximate value)
Therefore, the final answer is -3.645....
In conclusion, we evaluated the algebraic expression (5/9) - 2 × (3/5) - 3 × (3/5)0 and obtained the final answer as -3.645....
