Thinking...
Okay, let's see. I need to solve this expression: (17 times 23) plus (144 d
divided by 12) minus 89. Hmm, first I remember that I should follow the
order of operations, which is parentheses, exponents, multiplication and di
division from left to right, then addition and subtraction from left to
right. Wait, but here there are no exponents, just parentheses,
multiplication/division, and addition/subtraction.
So let's break it down step by step. The expression is (17*23) + (144/12) -
- 89. Let me handle the parts inside the parentheses first.
Starting with 17 multiplied by 23. Let me calculate that. Hmm, 17 times 20
is 340, and 17 times 3 is 51, so adding those together: 340 + 51 = 391. So
the first part, (17*23), equals 391.
Next part is 144 divided by 12. Let me do that division. 12 times 12 is
144, right? Because 10*12=120, 2*12=24, so 120+24=144. So 144/12 is 12.
Now plug those results back into the expression. So it becomes 391 + 12 - 8
89. Let's do the addition first: 391 + 12. That's 403. Then subtract 89
from 403.
Let me compute 403 minus 89. Hmm, maybe break it down: 403 minus 80 is 323,
323, then minus another 9 is 314. Wait, let's check: 403 - 80 = 323; 323 -
9 = 314. So that should be it.
Let me verify each step again to make sure I didn't make a mistake.
First multiplication: 17*23. Let's do 23*17. 20*17=340, 3*17=51, so
340+51=391. Correct.
Division: 144/12. Since 12*12=144, yes, that's 12. Correct.
Then adding 391 + 12 = 403. Then subtracting 89 from 403. Let's do it
another way: 403 - 89. Subtract hundreds first: 400 - 80 = 320, but wait, n
no. Wait, 403 minus 89. Think of 403 as 300 + 103? Maybe better to do:
89 is 90 - 1, so subtracting 90 would be 313, then add back 1 because we su
subtracted one too many: 313 + 1 = 314. Oh right, that's another way. So ye
yes, 403 - 89 = 314.
Let me check with a calculator method. 89 added to 314 is 403. Let's see: 3
314 + 80 = 394, then +9=403. Yep, that works. So the result should be 314.
So putting it all together: (17*23) is 391, (144/12) is 12, so 391+12=403,
then 403-89=314. So the 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/BODMAS)**: Parentheses,
Exponents, Multiplication/Division (from left to right),
Addition/Subtraction (from left to right).
---
### Step 1: Evaluate the multiplication and division inside parentheses
- $ 17 \times 23 = 391 $
- $ \frac{144}{12} = 12 $
So, substituting these results back into the expression:
$$
391 + 12 - 89
$$
---
### Step 2: Perform addition and subtraction from left to right
- First, add:
$$
391 + 12 = 4