2. 186 + 62 + 7 × 3 5. (100 - 50 × 4 + 2) + 3

To solve the given expression 186 + 62 + 7 × 35 ⋅ ( 100 − 50 × 4 + 2 ) + 3 , we'll need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Step-by-step Calculation:

Evaluate within Parentheses:

First, solve the expression inside the parentheses: 100 − 50 × 4 + 2
Perform the multiplication: 50 × 4 = 200
Subtract the result from 100: 100 − 200 = − 100
Add 2 to the result: − 100 + 2 = − 98




Substitute the Parenthesis Result:

Replace the parenthesis in the original expression with − 98 : 186 + 62 + 7 × 35 ⋅ − 98 + 3


Perform Multiplication:

Calculate 7 × 35 ⋅ − 98
First, multiply 7 by 35: 7 × 35 = 245
Then, multiply the result by -98: 245 × − 98 = − 24010




Combine All Results with Addition/Subtraction:

Substitute back into the expression: 186 + 62 − 24010 + 3
Add the first two numbers: 186 + 62 = 248
Include the results from multiplication: 248 − 24010 = − 23762
Finally, add 3: − 23762 + 3 = − 23759



The final result of the expression is − 23759 .

Answered by IsabellaRoseDavis | 2025-07-22