Thinking...
Thinking Process:
1. **Analyze the Request:** The user wants me to solve a mathematical
expression: $(17 \times 23) + (144 / 12) - 89$. I need to show the steps an
and end with "Answer: X".
2. **Identify the Operations:** The expression involves multiplication, di
division, addition, and subtraction. According to the order of operations (
(PEMDAS/BODMAS), multiplication and division are performed first (from left
left to right), followed by addition and subtraction (also from left to
right).
3. **Break Down the Expression:**
* Part 1: $17 \times 23$
* Part 2: $144 / 12$
* Part 3: Subtract 89 from the sum of Parts 1 and 2.
4. **Execute Step-by-Step:**
* **Step 1: Multiplication** ($17 \times 23$)
* Calculation: $17 \times 20 = 340$, $17 \times 3 = 51$.
* Sum: $340 + 51 = 391$.
* Alternatively using standard algorithm:
$$
17
\times 23
-----
\\overline{51} \quad (3 \times 17)
\\underline{+340} (20 \times 17)
---
391
$$
* **Step 2: Division** ($144 / 12$)
* Calculation: How many times does 12 go into 144?
* $12 \times 10 = 120$. Remainder is $24$.
* $12 \times 2 = 24$.
* So, $10 + 2 = 12$.
* Alternatively: $6^3 / (3 \times 4) ...$ no simpler. Just long d
division or knowing multiples of 12 ($12 \times 12 = 144$).
* **Step 3: Addition** ($391 + 12$)
* $391 + 10 = 401$.
* $401 + 2 = 403$.
* **Step 4: Subtraction** ($403 - 89$)
* Calculation:
$$
403
- \underline{89}
----
$$
* $13 - 9 = 4$. (Borrow from tens, then 9 -> becomes digit in
units? Wait.)
* Let's do it carefully:
Units column: $3 - 9$ needs borrowing. Borrow from tens ($0$). Te
Tens is now $-1$, borrow from hundreds ($4 \to 3$). So we have $13 - 9 = 4$
4$.
Tens column: The borrowed made it effectively negative? Let's
rephrase standard subtraction.
$$
403
-----
89
$$
Borrow from hundreds ($4 \to 3$). Make tens $10 + 0 = 10$. Wait,
we need to borrow for the units too since it's 0.
Actually: $400 - 200 ...$ no.
Let's just compute: $89 + ? = 403$.
$403 - 90 + 1 = 313 + 1 = 314$. Or wait, reverse is easier to
check mentally ($5 \times 2 = 10$). No.
Calculation:
$$
403 \\ (-)89
------- ?
$$
$3 - 9$: Borrow from tens (which requires borrow from hundreds?
hundreds? No, just tens is 0). So borrow from hundreds to make it ten's
place into ones' place.
Hundreds: 3 left ($4 \to 3$) after lending one to T