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Find the unit digit:
(76476756749)8754874878
(76476756749)8754874878
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Find the unit digit:(76476756749)8754874878a)1b)2c)3d)4Correct answer ...
Correct Answer :- a
Explanation : The unit digit of the number will depend on the last digit.
As we know that 91 = 9
92 = 81
93 = 729
94 = 6561
The unit digit of the number is 1 and 9, from the options we can pick the answer
Hence option a) is correct
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Community Answer
Find the unit digit:(76476756749)8754874878a)1b)2c)3d)4Correct answer ...
Solution:
To find the unit digit of the given expression, we need to focus on the last digit of each term.
Multiplication of the following digits always gives the last digit as 9:
3 × 7
9 × 1
7 × 3
1 × 9
Therefore, we can write each term of the given expression as:
76476756749 = 9a + 4
8754874878 = 8b + 2
where a and b are some integers.
Now, we can rewrite the given expression as:
(9a + 4)(8b + 2)
Expanding this expression, we get:
72ab + 18a + 32b + 8
The unit digit of this expression will be the unit digit of 8 + 2 = 10.
Therefore, the unit digit of the given expression is 1, which is option (a).
Hence, option (a) is the correct answer.
To find the unit digit of the given expression, we need to focus on the last digit of each term.
Multiplication of the following digits always gives the last digit as 9:
3 × 7
9 × 1
7 × 3
1 × 9
Therefore, we can write each term of the given expression as:
76476756749 = 9a + 4
8754874878 = 8b + 2
where a and b are some integers.
Now, we can rewrite the given expression as:
(9a + 4)(8b + 2)
Expanding this expression, we get:
72ab + 18a + 32b + 8
The unit digit of this expression will be the unit digit of 8 + 2 = 10.
Therefore, the unit digit of the given expression is 1, which is option (a).
Hence, option (a) is the correct answer.
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