Question

The value of

$\{4 - 3 \times [7 - 8 \times (2 \times 4 - 10)]\} =$

• A. 65
• B. 73
• C. -65
• D. -25

Answer 1

Answer:

C. -65

The value of the expression is $-65$.

Following the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction), we solve from the innermost brackets outward:

1. Solve the Parentheses ( ):

   • Inside the parentheses, perform multiplication first:
     $2 \times 4 = 8$

   • Then subtract:
     $8 - 10 = -2$

2. Solve the Square Brackets [ ]:

   • Substitute $-2$ back into the bracket:
     $7 - 8 \times (-2)$

   • Multiply first:
     $-8 \times (-2) = +16$

   • Then add:
     $7 + 16 = 23$

3. Solve the Curly Braces { }:

   • Substitute $23$ back into the braces:
     $4 - 3 \times 23$

   • Multiply first:
     $3 \times 23 = 69$

   • Finally, subtract:
     $4 - 69 = -65$