149 ਦੇ ਘਣ ਦਾ ਇਕਾਈ ਅੰਕ 9 ਹੈiਸਹੀ/ਗਲਤ)
The digit at unit place of the cube of 149 will be 9. (True/False
Answers
Given - The number whose cube's unit digit is to be identified : 149
Find - Unit digit at cube of 149 is 9 or not.
Solution - Cube of 149 is 3,307,949.
Unit digit of a number is the digit placed at the rightmost position. In other words, digit at one's position is unit digit.
Since the cube of 149 has 9 at one's or rightmost position, the given statement is true.
Question :- The digit at unit place of the cube of 149 will be 9. (True/False) .
Solution :-
we know that unit place of the cube of a number depends on the cube of unit digit of that number.
so,
→ 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 .
then,
→ (149)³ => unit digit (9)³ = 729 = 9 in Last .
therefore, we can conclude that, The digit at unit place of the cube of 149 will be 9.
Hence, given statement is true .
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