To find the product of [tex]\( 461 \times 3 \)[/tex], follow these steps:
1. Multiply the Units Digit: Multiply the units digit of the first number by the second number.
[tex]\[
1 \times 3 = 3
\][/tex]
So, we place 3 in the units place of the result.
2. Multiply the Tens Digit: Multiply the tens digit of the first number by the second number.
[tex]\[
6 \times 3 = 18
\][/tex]
Write down 8 in the tens place of the result and carry over 1 to the hundreds place.
3. Multiply the Hundreds Digit: Multiply the hundreds digit of the first number by the second number.
[tex]\[
4 \times 3 = 12
\][/tex]
Add the carry-over 1 to this product:
[tex]\[
12 + 1 = 13
\][/tex]
Putting it all together, the result is [tex]\( 1383 \)[/tex].
Thus, the correct answer is:
[tex]\[
\boxed{1383}
\][/tex]
