In this formula, which calculation would be performed first? =4*5-(10+54)*3 pointsAll to gather10 + 544 * 55-(10+54)

1. Break Down the Problem

To determine which calculation should be performed first in the expression $4*5 - (10 + 54) * 3$, we need to identify the operations involved and their precedence.

2. Relevant Concepts

The order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)), helps us decide the sequence:

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction

3. Analysis and Detail

In the expression $4*5 - (10 + 54) * 3$:

• First, we see there are parentheses: $(10 + 54)$.
• Second, we will handle the operation inside the parentheses.

Following PEMDAS:

• Calculate $10 + 54 = 64$.

Now, we substitute this back into the expression: $4*5 - 64 * 3$ Next steps of operations:

• Then, we perform the multiplication $64 * 3 = 192$.

Continuing, the new expression will be: $4*5 - 192$ Finally, we perform the last multiplication $4*5 = 20$ and the subtraction: $20 - 192 = -172$

4. Verify and Summarize

• First, the sum of $10 + 54$ is calculated as $64$.
• The multiplication $64 * 3$ follows, yielding $192$.
• After this, we compute $4*5$ as $20$, and then subtract $192$ to reach the final answer.

Final Answer

The first calculation performed should be $10 + 54$ inside the parentheses, leading to the expression resolving as $-172$ after all calculations.