________ digit is at one’s place in cube of 17.
Answers
Answer:
Cube of 7: 343. Unit's digit of 343: 3. Hence, the number at unit's digit of 17 is 3.
Question :- Digit is at one's place in cube of 17 ?
Solution :-
we know that, concept for unit digit of a cube number :-
→ 1³ = 1 = unit digit 1 .
→ 2³ = 8 = unit digit 8.
→ 3³ = 27 = unit digit 7.
→ 4³ = 64 = unit digit 4.
→ 5³ = 125 = unit digit 5.
→ 6³ = 216 = unit digit 6 .
→ 7³ = 343 = unit digit 3.
→ 8³ = 512 = unit digit 2.
→ 9³ = 729 = unit digit 9.
→ 10³ = 1000 = unit digit 0.
So, unit digit of a natural number depends on the unit digit of cube of one's place . As we can see none is repeating .
therefore,
(17)³ = unit place 7³ = 343 => 3 in last .
Hence, digit is at one's place in cube of 17 will be 3.
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