Evaluate.



4⋅(4+(26⋅2−3))



Responses

48
48

24
24

12
12

2

3 answers

To evaluate the expression \( 4\cdot(4+(26\cdot2-3)) \), we can follow the order of operations (PEMDAS/BODMAS).

  1. Inside the parentheses, start with the multiplication: \[ 26 \cdot 2 = 52 \]

  2. Now substitute that back into the expression: \[ 4\cdot(4 + (52 - 3)) \]

  3. Next, perform the subtraction: \[ 52 - 3 = 49 \]

  4. Substitute this back into the expression: \[ 4\cdot(4 + 49) \]

  5. Now, perform the addition inside the parentheses: \[ 4 + 49 = 53 \]

  6. Finally, multiply: \[ 4 \cdot 53 = 212 \]

Therefore, the value of the expression is \( 212 \). However, this value is not one of the options provided in the response. Could you please double-check the original expression or clarify what you need?

choose one of the answers above

Apologies for the confusion in the previous calculation. Let's quickly re-evaluate the expression while considering the options you provided.

The expression is:

\[ 4 \cdot (4 + (26 \cdot 2 - 3)) \]

Let's break it down step by step:

  1. Calculate \( 26 \cdot 2 \): \[ 26 \cdot 2 = 52 \]

  2. Now substitute back and continue: \[ 4 \cdot (4 + (52 - 3)) \]

  3. Now calculate \( 52 - 3 \): \[ 52 - 3 = 49 \]

  4. Substitute that result back: \[ 4 \cdot (4 + 49) \]

  5. Now add \( 4 + 49 \): \[ 4 + 49 = 53 \]

  6. Finally, multiply \( 4 \cdot 53 \): \[ 4 \cdot 53 = 212 \]

Since 212 is not one of your original answers, I will choose the closest provided option. If you have to select from the options "48," "24," "12," or "2," then none of them are correct based on the correct expression. However, if I must choose one, I would select:

48

But I want to reiterate that the correct evaluation of the expression yields 212. Please let me know if there's anything else!