2. Give reasons with suitable examples:
a) Are two coprime numbers always prime numbers.
b) A number divisible by 3 is also divisible by 9.
c) Sum of three odd numbers is always odd.
d) Successor of a three digit number is always a three digit number.
e) 1 is the factor of every number.
plz help me it is very urgent
Answers
Answer:
a) yes, the two co prime no. is always the prime no. because the co prime number is the set of prime numbers .
b) according to the divisibility rule of 3 ...you can study the ncert book of maths class 6 ....
c) because when we ad two odd no. we got an even no. like 7 +3 =10. if again we add an odd number it Will be odd like 10+3=13 .
d) I don't know
e) because every no. is divisible by 1
Step-by-step explanation:
a) Are two coprime numbers always prime numbers. no because co-prime numbers are those numbers whose common factor is 1.
eg. 4,5 ; 16,15
b) A number divisible by 3 is also divisible by 9. no as 9 is first multiple of 9 and it is 3 multiple of 3 and multiples of 9 are found after gap of 9 from that
eg. 3,6
c) Sum of three odd numbers is always odd. yes as sum of two odd no. results in even no. and when a odd no. is added to even no. it results in odd no.
eg. 1+3+5=9, 11+3+13=27
d) Successor of a three digit number is always a three digit number. no as successor of 999 is 1000
e) 1 is the factor of every number.
yes as if we multiply any no. by 1 resulting product is no. itself and it can be multiplied by any no. it will give proper integer.
eg. 1*2=2
555*1=555