Thinking...
Okay, let's see. I need to calculate this expression: (17*23) + (144/12) -
89. Hmm, let me break it down step by step. First, I should handle the
multiplication and division because they have higher precedence than
addition and subtraction.
Starting with the first part, 17 multiplied by 23. Let me do that. 17 times
times 20 is 340, and 17 times 3 is 51. So adding those together, 340 + 51 e
equals 391. Wait, is that right? Let me check again. 17*23. Maybe another w
way: 20*23 is 460, minus 3*23 which is 69. So 460 - 69 is 391. Yeah, same r
result. Okay, so 17*23 is 391.
Next part is 144 divided by 12. That seems straightforward. 144 divided by
12. Well, 12 times 12 is 144, so 144/12 is 12. Got that. So that part is 12
12.
Now the expression becomes 391 + 12 - 89. Let me do the addition first. 391
391 + 12. Let's see, 391 + 10 is 401, then +2 is 403. So that's 403. Then s
subtract 89 from 403. Hmm, 403 - 89. Let me compute that. 403 - 80 is 323,
then subtract 9 more, so 323 - 9 is 314. Wait, is that correct? Let me
check again. 403 minus 89. Alternatively, 403 - 80 = 323, then minus 9 is 3
314. Yes, that seems right.
But let me verify once more to make sure I didn't make any mistakes. So
original problem: (17*23) + (144/12) - 89. Calculated 17*23 as 391, 144/12
as 12, then 391 + 12 is 403, minus 89 is 314. Hmm. Alternatively, maybe I c
can compute it in a different order? Let me check the operations again.
Wait, the order of operations is parentheses, exponents, multiplication and
and division, then addition and subtraction. So here, we have
multiplication and division done first, then addition and subtraction. So t
the steps are correct.
Alternatively, maybe I can compute it all in one line. Let's see: 17*23 is
391, 144/12 is 12, so 391 + 12 is 403, then 403 - 89 is 314. Yeah, that
seems consistent.
Wait, but let me check if there's another way to compute 17*23. Maybe 17*23
17*23 is 391, but maybe I can think of it as 17*(20+3) = 17*20 + 17*3 = 340
340 + 51 = 391. Yep, same result. So that's correct.
Then 144 divided by 12 is indeed 12. So adding that to 391 gives 403. Then
subtracting 89 from 403. Let me do that subtraction again. 403 minus 80 is
323, then minus 9 more is 314. Yes. So the final answer is 314.
But let me make sure there's no mistake in the arithmetic. Let's do 403 - 8
89. If I subtract 80 first, 403 - 80 = 323. Then subtract 9 more: 323 - 9 =
= 314. Correct.
Alternatively, 89 is 90 - 1. So 403 - 90 = 313, then +1 = 314. That's
another way to check. So that's correct.
Therefore, the final result is 314.
But wait, let me just check once more all the steps to be thorough.
Original problem: (17×23) + (144÷12) - 89.
Step 1: 17×23 = 391.
Step 2: 144÷12 = 12.
Step 3: 391 + 12 = 403.
Step 4: 403 - 89 = 314.
Yes, all steps are correct. So the answer should be 314.
I think that's it. I don't see any errors in the calculations. So the final
final answer is 314.
**Final Answer**
The result of the expression is \boxed{314}.
...done thinking.
To evaluate the expression:
$$
(17 \times 23) + \left(\frac{144}{12}\right) - 89
$$
we follow the standard order of operations (PEMDAS/BODMAS), where
**multiplication and division** are performed before **addition and
subtraction**.
---
### Step 1: Perform Multiplication
$$
17 \times 23 = 391
$$
---
### Step 2: Perform Division
$$
\frac{144}{12} = 12
$$
---
### Step 3: Add the Results
$$
391 + 12 = 403
$$
---
### Step 4: Subtract
$$
403 - 89 = 314
$$
---
### Final Answer
$$
\boxed{314}
$$