In basic arithmetic, if 65776759 is added to 54697467, what is the rightmost digit (that is, the units place digit) of the resulting sum?

Difficulty: Easy

Correct Answer: 6

Explanation:


Introduction:
This question checks basic number sense and your understanding of how addition works in the units place. Instead of adding the full long numbers, you only need to focus on the rightmost digits to determine the units digit of the sum quickly and efficiently.


Given Data / Assumptions:

  • The first number is 65776759.
  • The second number is 54697467.
  • We must find the rightmost (units place) digit of their sum.
  • No tricks are involved beyond normal base 10 addition.


Concept / Approach:
In any addition problem, the units digit of the sum depends only on the units digits of the addends. Higher place values (tens, hundreds, and so on) may create carries, but the basic idea remains that the units digit is determined by adding just the units digits and then taking the units digit of that smaller sum.


Step-by-Step Solution:
Step 1: Identify the units digit of 65776759, which is 9. Step 2: Identify the units digit of 54697467, which is 7. Step 3: Add these two units digits: 9 + 7 = 16. Step 4: The units digit of 16 is 6, so the units digit of the full sum is also 6.


Verification / Alternative check:
You could add the full numbers using column addition, but you will observe that the last column still gives 9 + 7 = 16, putting 6 in the units place and carrying 1 to the tens column. This confirms that the units digit must be 6 regardless of the rest of the digits.


Why Other Options Are Wrong:

  • 4: This would require 9 + 7 to end in 4, which is not true.
  • 9: No combination of 9 and 7 in simple addition yields a units digit of 9.
  • 0: 9 + 7 does not produce a units digit of 0.
  • 8: This also does not match the correct units digit from 9 + 7.


Common Pitfalls:
Some learners mistakenly try to add the entire numbers, which is time consuming and increases the chance of arithmetic errors. Others confuse the carry and the units digit itself. Remember that only the units digits 9 and 7 matter for this type of question.


Final Answer:
Therefore, the rightmost digit of 65776759 + 54697467 is 6.

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