Thinking...
Okay, let's see. I need to calculate the expression (17 times 23) plus (144
(144 divided by 12) minus 89. Hmm, order of operations is important here. F
First, handle any parentheses or exponents, but in this case, there are no
parentheses except maybe the division and multiplication, but let's break i
it down step by step.
First, let's look at the first part: 17 times 23. Let me calculate that. 17
17 multiplied by 20 is 340, and 17 multiplied by 3 is 51. So adding those t
together, 340 + 51 = 391. Wait, let me check that again: 17*23. 23*10=230,
23*7=161, so 230+161=391. Yeah, that's right.
Next part is 144 divided by 12. Let's do that division. 144 divided by 12.
Well, 12 times 12 is 144, so 144/12 = 12. That's straightforward.
Now the expression becomes 391 (from the first part) plus 12 (from the
second part) minus 89. Let's do the addition first: 391 + 12. 391 + 10 is 4
401, so plus 2 more is 403. So now we have 403 - 89.
Now subtract 89 from 403. Let's see, 403 minus 80 is 323, then minus 9 more
more is 314. So the result should be 314.
Wait, let me verify each step to make sure I didn't make a mistake. First p
part: 17*23. Let's do it as 17*(20+3) = 17*20 + 17*3 = 340 + 51 = 391.
Correct. Second part: 144/12. 12*12=144, so 144/12=12. Correct. Then
391+12=403. Then 403-89. Let's do 403 - 80 = 323, then 323 - 9 = 314. That
seems right.
Alternatively, another way to subtract: 403 minus 89 is the same as (400 -
89) + 3 = 311 + 3 = 314. Yep, that's the same result. So I think 314 is
correct. Let me just make sure there are no errors in the order of
operations. The original expression is (17*23)+(144/12)-89. According to PE
PEMDAS (Parentheses, Exponents, Multiplication and Division from left to ri
right, Addition and Subtraction from left to right), we handle
multiplication and division before addition and subtraction. So first 17*23
17*23 is 391, then 144/12 is 12, then add those two results: 391 + 12 =
403, then subtract 89: 403 - 89 = 314. Yep, that's all correct.
I don't see any mistakes here. Each step checks out with multiplication and
and division operations first, then addition and subtraction. So the final
answer should be 314.
...done thinking.
To evaluate the expression $(17 \times 23) + \left(\frac{144}{12}\right) -
89$, we follow the **order of operations (PEMDAS)**:
---
### Step 1: Multiply and divide from left to right
- First, compute $17 \times 23$:
$$
17 \times 23 = 391
$$
- Next, compute $\frac{144}{12}$:
$$
\frac{144}{12} = 12
$$
Now the expression becomes:
$$
391 + 12 - 89
$$
---
### Step 2: Add and subtract from left to right
- First, add $391 + 12$:
$$
391 + 12 = 403
$$
- Then, subtract $89$ from the result:
$$
403 - 89 = 314
$$
---
### Final Answer:
$$
\boxed{314}
$$