Subject
Quantitative Aptitude
Topic
Number
Find the last digit of the product 723× 813.
Find the last digit of the product 723× 813.
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1Explanation
To calculate the last digit of the product 7 23 × 8 13 we need to find the last digit for 7 23 and 8 13 individually and then multiply those last digits to get the last digit of the overall product. Step 1: Calculate the last digit of 7 23 For a number of the form x y we represent the number y in the form of y = 4q + r (Where r is the remainder and q is the quotient when the number y is divided by 4). The unit digit of x y is the same as the units digit of x r . The remainder when 23 is divided by 4 is 3. ∴ The units digit of 7 23 is the same as units digit of 7 3 . 7 3 = 343. The unit digit is 3. Similarly, for 8 13 the remainder when 13 is divided by 4 is 1. ∴ The units digit of 8 13 is the same as units digit of 8 1 . 8 1 = 8. The unit digit is 8. ∴ The last digit of 7 23 × 8 13 is the unit digit of the product of 3 and 8 = 24. ∴ The last digit of 7 23 × 8 13 = 4Related questions
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