Answer :

To solve the multiplication problem [tex]\(181 \times 9\)[/tex], we can break it down into simpler steps:

1. Multiply each digit of 181 by 9 separately:
- First, multiply the hundreds digit: [tex]\(1 \times 9 = 9\)[/tex].
- Then, multiply the tens digit: [tex]\(8 \times 9 = 72\)[/tex].
- Finally, multiply the units digit: [tex]\(1 \times 9 = 9\)[/tex].

2. Break down the problem by place values:
- The number 181 can be expanded as [tex]\(100 + 80 + 1\)[/tex].

3. Multiply each part by 9:
- Multiply 100 by 9: [tex]\(100 \times 9 = 900\)[/tex].
- Multiply 80 by 9: [tex]\(80 \times 9 = 720\)[/tex].
- Multiply 1 by 9: [tex]\(1 \times 9 = 9\)[/tex].

4. Add all the results together:
- Add the products from each place value: [tex]\(900 + 720 + 9 = 1629\)[/tex].

So, the final answer to [tex]\(181 \times 9\)[/tex] is [tex]\(\boxed{1629}\)[/tex].