Evaluate 3{5 + 3[10 + 4 · 8]}
To evaluate the given expression, we need to apply the order of operations (parentheses, exponents, multiplication, division, addition, and subtraction) and simplify the expression step by step.
First, let's simplify the innermost parentheses and brackets:
3{5 + 3[10 + 4 · 8]} = 3{5 + 3[10 + 32]}
Next, we need to simplify the multiplication:
3{5 + 3[10 + 32]} = 3{5 + 3[42]}
Now, let's simplify the expression within the brackets:
3{5 + 3[42]} = 3{5 + 126}
Next, we perform the addition within the braces:
3{5 + 126} = 3{131}
Finally, we multiply by 3:
3{131} = 3 × 131 = 393
Therefore, 3{5 + 3[10 + 4 · 8]} equals 393.
To evaluate the expression 3{5 + 3[10 + 4 × 8]}, we need to follow the order of operations, which is often remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Step 1: Start with the innermost parentheses
Inside the parentheses, we see the expression 10 + 4 × 8. According to the order of operations, we need to multiply first:
10 + 4 × 8 = 10 + 32 = 42
Step 2: Evaluate the expression inside the square brackets
Now we have 3[5 + 3 × 42]. Again, we need to follow the order of operations, so we multiply first:
3 × 42 = 126
Step 3: Evaluate the expression inside the curly braces
Finally, we have 3{5 + 126}. Now we can add:
5 + 126 = 131
Step 4: Multiply the result by the number outside the parentheses
Finally, we multiply the result by 3:
3 × 131 = 393
Therefore, the expression 3{5 + 3[10 + 4 × 8]} evaluates to 393.
To evaluate the given expression, we need to follow the correct order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) or BODMAS (Brackets, Orders, Division and Multiplication, and Addition and Subtraction).
Let's break down the given expression step by step:
Step 1: Start with the innermost set of parentheses or brackets.
Inside the brackets: [10 + 4 · 8]
Step 2: Perform multiplication and division from left to right.
[10 + (4 · 8)] = [10 + 32] = 42
Step 3: Now, substitute the value obtained above into the expression.
3{5 + 3 * 42}
Step 4: Continue evaluating within the innermost parenthesis.
[5 + 3 * 42] = [5 + 126] = 131
Step 5: Substitute the value obtained in step 4 back into the expression.
3 * 131 = 393
Therefore, the evaluation of the expression 3{5 + 3[10 + 4 · 8]} is 393.