Answer :

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]