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What is the units digit in the product (...

What is the units digit in the product `(813 xx 986 xx 471 xx 603)`?

A

6

B

4

C

2

D

3

Text Solution

AI Generated Solution

The correct Answer is:
To find the units digit of the product \( 813 \times 986 \times 471 \times 603 \), we can simplify the calculation by focusing only on the units digits of each number involved in the multiplication. ### Step-by-Step Solution: 1. **Identify the Units Digits**: - The units digit of \( 813 \) is \( 3 \). - The units digit of \( 986 \) is \( 6 \). - The units digit of \( 471 \) is \( 1 \). - The units digit of \( 603 \) is \( 3 \). 2. **Multiply the Units Digits**: - Now we multiply the units digits together: \[ 3 \times 6 \times 1 \times 3 \] 3. **Calculate Step-by-Step**: - First, multiply \( 3 \times 6 \): \[ 3 \times 6 = 18 \] - The units digit of \( 18 \) is \( 8 \). - Next, multiply \( 8 \times 1 \): \[ 8 \times 1 = 8 \] - The units digit remains \( 8 \). - Finally, multiply \( 8 \times 3 \): \[ 8 \times 3 = 24 \] - The units digit of \( 24 \) is \( 4 \). 4. **Final Result**: - Therefore, the units digit of the product \( 813 \times 986 \times 471 \times 603 \) is \( 4 \). ### Conclusion: The answer is \( 4 \).
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