Calculate the value of the expression: - [9 × 9 - (12)^2 + 8 × 76 - 200 (4 + 6 - 8)] - (12 + 34 - 67 + 35 - 24)

To solve the expression − [ 9 × 9 − ( 12 ) 2 + 8 × 76 − 200 ( 4 + 6 − 8 )] − ( 12 + 34 − 67 + 35 − 24 ) , we will break it down step by step following 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)).

Simplify inside the parentheses :

4 + 6 − 8 = 2
12 + 34 − 67 + 35 − 24 = − 10


Calculate the exponents :

( 12 ) 2 = 144


Calculate multiplications :

9 × 9 = 81
8 × 76 = 608
200 × 2 = 400


Substitute these values back into the expression :

− [ 81 − 144 + 608 − 400 ] − ( − 10 )


Simplify inside the brackets :

Perform the subtraction and addition inside the brackets:
First, calculate 81 − 144 = − 63
Then add and subtract from left to right: − 63 + 608 = 545 545 − 400 = 145


So, the expression inside the brackets simplifies to 145.
− [ 145 ] − ( − 10 )


Simplify the expression :

When the overall expression is simplified, it becomes − 145 + 10 , since subtracting a negative number is the same as adding.
− 145 + 10 = − 135



Therefore, the value of the expression is − 135 .

Answered by ElijahBenjaminCarter | 2025-07-22