The value of 9 × 9 + 9 ÷ 9 – 9 × 9 + 9 + 9 × 9 – 9 – 9 × 9 is:

To find the value of the given expression, we follow the BODMAS rule, which specifies the order of operations as: Brackets, Orders, Division, Multiplication, Addition, and Subtraction.

The given expression is:
$9\times 9+9÷9-9\times 9+9+9\times 9-9-9\times 9$

Step 1: Perform Division
First, evaluate the division term in the expression:
$9÷9=1$
Substitute this back into the expression:
$9\times 9+1-9\times 9+9+9\times 9-9-9\times 9$

Step 2: Perform Multiplications
Next, perform the multiplications. We calculate each occurrence of $9\times 9$:
$9\times 9=81$
Substituting $81$ into the expression gives:
$81+1-81+9+81-9-81$

Step 3: Perform Addition and Subtraction
Group the positive terms and the negative terms:
Positive terms: $81+1+9+81=172$
Negative terms: $-81-9-81=-171$
Now, subtract the sum of the negative terms from the sum of the positive terms:
$172$ - $171$ = $1$

Alternatively, we can cancel out the opposing positive and negative values:
$(81-81)+1+(9-9)+(81-81)=0+1+0+0=1$

Thus, the final simplified value is 1.