State whether this statement is true or false: Last three digit of cube of 500 is 0
Answers
State true or false.
(i) Cube of any odd number is even.
(ii) A perfect cube does not end with two zeros.
(iii) If square of a number ends with 5, then its cube ends with 25.
(iv) There is no perfect cube which ends with 8.
(v) The cube of a two digit number may be a three digit number.
(vi) The cube of a two digit number may have seven or more digits.
(vii) The cube of a single digit number may be a single digit number.
Answer
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(i) Cube of any odd number is even.
FALSE: Odd multiplied by odd is always odd
(ii) A perfect cube does not end with two zeros.
TRUE: A perfect cube will end with odd number of zeroes
(iii) If square of a number ends with 5, then its cube ends with 25.
TRUE: 5 multiplied by 5 any number of times always gives 5 at units place
(iv) There is no perfect cube which ends with 8.
False: 2
3
=8
(v) The cube of a two digit number may be a three digit number.
FALSE: The smallest two digit number is 10 and 10
3
=1000 is a three digit number
(vi) The cube of a two digit number may have seven or more digits.
FALSE: 99 is the largest 2 digit number; 99
3
=989901 is a 6 digit number
(vii) The cube of a single digit number may be a single digit number.
TRUE: 2
3
=8 is a single digit number.
Answer:
True
Step-by-step explanation:
cube of 500 is 125,000,000
so last three digits are 0.