1 4 Per 5 - (0 2 + 3 Per 4 )

Suzhoumeite

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Jun 06, 2024

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Evaluating the Expression: 1 × 4 ÷ 5 - (0 × 2 + 3 ÷ 4)

When evaluating an expression, it's essential to follow the order of operations (PEMDAS):

1. Parentheses: Evaluate expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next.
3. Multiplication and Division: Evaluate from left to right.
4. Addition and Subtraction: Finally, evaluate from left to right.

Let's break down the given expression: 1 × 4 ÷ 5 - (0 × 2 + 3 ÷ 4)

Evaluating the Expression Inside the Parentheses

First, let's evaluate the expression inside the parentheses:

0 × 2 + 3 ÷ 4

= 0 + 3 ÷ 4 (since 0 multiplied by 2 is 0)

= 0 + 0.75 (since 3 divided by 4 is 0.75)

= 0.75

Now, let's substitute this value back into the original expression:

1 × 4 ÷ 5 - 0.75

Evaluating the Expression Outside the Parentheses

Next, let's evaluate the expression outside the parentheses:

1 × 4 = 4

4 ÷ 5 = 0.8

So, the expression becomes:

0.8 - 0.75

Final Evaluation

Finally, let's subtract 0.75 from 0.8:

0.8 - 0.75 = 0.05

And that's the final answer!