The unit digit in the product (281 × 15 × 16 × 18) is :

Q: The unit digit in the product (281 × 15 × 16 × 18) is :

To determine the unit digit of the product $281 \times 15 \times 16 \times 18$, we need to focus on the unit digits of each number involved in the multiplication: 1. The unit digit of 281 is 1. 2. The unit digit of 15 is 5. 3. The unit digit of 16 is 6. 4. The unit digit of 18 is 8. Now, let's calculate the unit digit of the product step by step: - First, consider the unit digit of $15$, which is 5. Any number multiplied by 5 will have a unit digit of 0 if the other number has a unit digit of 2, 4, 6, or 8. In this case, we have the number 16, which has a unit digit of 6. - Multiplying the unit digits: $5 \times 6 = 30$. The unit digit of 30 is 0. - Now, multiply this result with the unit digit of 18, which is 8: $0 \times 8 = 0$. The unit digit remains 0. - Finally, multiply this result with the unit digit of 281, which is 1: $0 \times 1 = 0$. The unit digit remains 0. Thus, the unit digit of the entire product $281 \times 15 \times 16 \times 18$ is 0. Explanation of why other options are incorrect: - Option 1 (8): If the unit digit were 8, it would imply that the multiplication of the unit digits resulted in 8, which is not possible given the presence of a 5 and a 6 in the multiplication, leading to a unit digit of 0. - Option 2 (6): A unit digit of 6 would require the multiplication of unit digits to result in 6, which is not the case here due to the presence of a 5 and a 6, leading to a unit digit of 0. - Option 3 (5): A unit digit of 5 would imply that the multiplication of unit digits resulted in 5, which is not possible given the presence of a 6 and 8 in the multiplication, leading to a unit digit of 0. Therefore, the correct answer is Option 4, which is 0.

Question

Accepted Answer

To determine the unit digit of the product $281 \times 15 \times 16 \times 18$, we need to focus on the unit digits of each number involved in the multiplication:

1. The unit digit of 281 is 1.
2. The unit digit of 15 is 5.
3. The unit digit of 16 is 6.
4. The unit digit of 18 is 8.

Now, let's calculate the unit digit of the product step by step:

- First, consider the unit digit of $15$, which is 5. Any number multiplied by 5 will have a unit digit of 0 if the other number has a unit digit of 2, 4, 6, or 8. In this case, we have the number 16, which has a unit digit of 6.

- Multiplying the unit digits: $5 \times 6 = 30$. The unit digit of 30 is 0.

- Now, multiply this result with the unit digit of 18, which is 8: $0 \times 8 = 0$. The unit digit remains 0.

- Finally, multiply this result with the unit digit of 281, which is 1: $0 \times 1 = 0$. The unit digit remains 0.

Thus, the unit digit of the entire product $281 \times 15 \times 16 \times 18$ is 0.

Explanation of why other options are incorrect:

- Option 1 (8): If the unit digit were 8, it would imply that the multiplication of the unit digits resulted in 8, which is not possible given the presence of a 5 and a 6 in the multiplication, leading to a unit digit of 0.

- Option 2 (6): A unit digit of 6 would require the multiplication of unit digits to result in 6, which is not the case here due to the presence of a 5 and a 6, leading to a unit digit of 0.

- Option 3 (5): A unit digit of 5 would imply that the multiplication of unit digits resulted in 5, which is not possible given the presence of a 6 and 8 in the multiplication, leading to a unit digit of 0.

Therefore, the correct answer is Option 4, which is 0.