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The unit digit in the sum of (1024)^372+(1024)^373 isOptions :5430

Question

The unit digit in the sum of (1024)^372+(1024)^373 isOptions :5430

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Solution 1

The unit digit in the sum of (1024)^372 and (1024)^373 can be found by looking at the unit digit of each individual term.

  1. The unit digit of (1024)^372: The cycle of unit digits for 4 (the unit digit of 1024) is 4, 6, 4, 6... and so on. Since 372 is an even number, the unit digit of (1024)^372 will be 6.

  2. The unit digit of (1024)^373: Again, the cycle of unit digits for 4 is 4, 6, 4, 6... and so on. Since 373 is an odd number, the unit digit of (1024)^373 will be 4.

  3. Adding the unit digits: The unit digit in the sum of (1024)^372 and (1024)^373 will be the sum of the unit digits of each term, which is 6 + 4 = 10.

However, since we are looking for the unit digit, we only consider the last digit of 10, which is 0.

So, the unit digit in the sum of (1024)^372+(1024)^373 is 0.

This problem has been solved

Solution 2

The unit digit in the sum of (1024)^372 and (1024)^373 can be found by looking at the unit digit of each individual term.

  1. The unit digit of (1024)^372: The cycle of unit digits for 4 (the unit digit of 1024) is 4, 6, 4, 6... and so on. Since 372 is an even number, the unit digit of (1024)^372 will be 6.

  2. The unit digit of (1024)^373: Again, the cycle of unit digits for 4 is 4, 6, 4, 6... and so on. Since 373 is an odd number, the unit digit of (1024)^373 will be 4.

  3. Adding the unit digits: The unit digit in the sum of (1024)^372 and (1024)^373 will be the sum of the unit digits from step 1 and 2. So, 6 (from (1024)^372) + 4 (from (1024)^373) = 10.

  4. The unit digit of the sum: The unit digit of 10 is 0.

So, the unit digit in the sum of (1024)^372+(1024)^373 is 0.

This problem has been solved

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