Verified Answer :

  • Interpret the expression \(13, 15, 32, 34 \cdot 43 + 12\) as a sum: \(13 + 15 + 32 + 34 \times 43 + 12\).
  • Multiply \(34 \times 43\) to get 1462.
  • Add all terms together: \(1462 + 13 + 15 + 32 + 12 = 1534\).
  • Final answer: \(\boxed{1534}\).

Explanation

  1. Understanding the Expression

We are tasked with evaluating the expression \(13, 15, 32, 34 \cdot 43 + 12\). The commas in the expression indicate a series of terms to be added together. Interpreting the sequence as a sum, we have:
\[13 + 15 + 32 + (34 \cdot 43) + 12\]
To compute this, we must follow the standard order of operations (PEMDAS/BODMAS), which dictates that we perform multiplication before addition.

  1. Performing Multiplication

First, we perform the multiplication portion of the expression:
\[34 \times 43 = 1462\]
Now that we have the product, the expression becomes:
\[13 + 15 + 32 + 1462 + 12\]

  1. Calculating the Final Sum

Next, we add the remaining terms to our product:
\[1462 + 13 + 15 + 32 + 12\]
\[1462 + 13 = 1475\]
\[1475 + 15 = 1490\]
\[1490 + 32 = 1522\]
\[1522 + 12 = 1534\]
The final result of the calculation is 1534.

Examples

In real life, this type of calculation is common when keeping track of expenses. Suppose you have four individual bills of \$13, \$15, \$32, and \$12, along with 34 items that cost \$43 each. To find your total expenditure, you would perform exactly this operation: \(\$13 + \$15 + \$32 + (34 \times \$43) + \$12 = \$1534\). Understanding the order of operations ensures you correctly total your expenses.