Problem 26 - Elementary Algebra

Question

For the following problems, use the order of operations to find each value. $$2\\{(7+7)+6[4(8+2)]\\}$$

Step-by-Step Solution

Answer

Answer: The value of the expression is \(508\).

Step 1: Solve inside the parentheses

Solve the expression inside the parentheses first: \((7+7) = 14\). So the given expression becomes: $$ 2\{14+6[4(8+2)]\} $$

Step 2: Solve inside the brackets

Solve the expression inside the brackets: \((8+2) = 10\). So the given expression now becomes: $$ 2\{14+6[4(10)]\} $$

Step 3: Perform multiplication inside the brackets

Multiply the number outside the brackets with the number inside the brackets: \(4(10) = 40\). So the given expression now becomes: $$ 2\{14+6[40]\} $$

Step 4: Perform multiplication inside the curly braces

Multiply the number outside the brackets with the number inside the brackets: \(6[40] = 240\). So the given expression now becomes: $$ 2\{14+240\} $$

Step 5: Perform addition inside the curly braces

Add the numbers inside the curly braces: \(14+240 = 254\). So the given expression now becomes: $$ 2\{254\} $$

Step 6: Perform multiplication outside the curly braces

Finally, multiply the number outside the curly braces with the number inside the curly braces: \(2\{254\} = 508\). The value of the given expression is \(508\).