Thinking...
Okay, let's see. I need to solve this problem: (17*23) + (144/12) - 89.
Hmm, I should follow the order of operations, right? Which is parentheses f
first, then multiplication and division, then addition and subtraction. Let
Let me break it down step by step.
First, there are two parentheses here: (17*23) and (144/12). I need to
compute those first. Let's start with the first one: 17 multiplied by 23. L
Let me calculate that. 17*20 is 340, and 17*3 is 51, so 340 + 51 is 391. Wa
Wait, is that right? Let me check: 23*17. Maybe another way: 20*17=340,
3*17=51, so 340+51=391. Yeah, that seems correct. So 17*23 = 391.
Next, the second parentheses: 144 divided by . Let's see, 144 divided by 12
12. 12*12 is 144, so 144/12 is 12. That's easy.
So now the expression simplifies to 391 + 12 - 89. Let me do that step by s
step. First, 391 + 12. 391 + 10 is 401, plus 2 is 403. So 391 + 12 = 403. T
Then, 403 - 89. Let's compute that. 403 - 80 is 323, then subtract 9 more:
323 - 9 = 314. Wait, is that right? Let me check again. 403 minus 89. Maybe
Maybe another way: 89 is 90 - 1, so 403 - (90 - 1) = 403 - 90 + 1 = 313 + 1
1 = 314. Yeah, that works. So 403 - 89 = 314.
Let me verify all steps again to be sure.
First part: 17*23. 17*23. Let's do 23*10=230, 23*7=161, so 230+161=391.
Yep, that's correct. So 17*23=391.
Second part: 144/12. 12*12=144, so 144/12=12. Correct.
Then, 391 + 12 = 403. Then 403 - 89. Let's subtract 89 from 403. 403 - 80 =
= 323, then 323 - 9 = 314. So that's 314.
I think that's right. Let me do the entire calculation in one go to check.
(17*23) is 391, (144/12) is 12, so 391 + 12 = 403, then 403 - 89 = 314.
Yep, that seems correct. I don't see any mistakes here.
...done thinking.
To solve the expression $(17 \times 23) + (144 \div 12) - 89$, we follow th
the **order of operations** (PEMDAS/BODMAS): Parentheses first, then
multiplication and division, and finally addition and subtraction.
---
### Step 1: Evaluate the first parenthesis
$$
17 \times 23 = 391
$$
- Break it down:
$$
17 \times 20 = 340,\quad 17 \times 3 = 51 \Rightarrow 340 + 51 = 391
$$
---
### Step 2: Evaluate the second parenthesis
$$
144 \div 12 = 12
$$
- Since $12 \times 12 = 144$, this is correct.
---
### Step 3: Substitute back into the expression
Now the expression becomes:
$$
391 + 12 - 89
$$
---
### Step 4: Perform addition and subtraction from left to right
First, add:
$$
391 + 12 = 403
$$
Then subtract:
$$
403 - 89 = 314
$$
- Break it down:
$$
403 - 80 = 323,\