What is the sum of all natural numbers within 100 that are not multiples of 3?

What is the sum of all natural numbers within 100 that are not multiples of 3?


1+2+4+5+7+8+.+97+98
=(1+4+7+.+97)+(2+5+.+98)
=(1+97)*33/2+(2+98)*33/2
=198*33/2
=3267



How many natural numbers within 100 are not multiples of 3


100 / 3 ≈ 33
100-33 = 77
There are 77 natural numbers within 100 that are not multiples of 3



In natural numbers from 1 to 100, there are______ The number is not a multiple of 3 or 5


The multiples of 3 are: 100 / 3 ≈ 33 (pieces), and the multiples of 5 are: 100 / 5 = 20 (pieces). The number of multiples of 3 and 5 (that is, the common multiple of 3 and 5) is: 100 / 15 = 6 (pieces). Therefore, the number of multiples of 3 or 5 is: 33 + 20-6 = 47 (pieces), and the number of multiples that are neither multiples of 3 nor multiples of 5 is: 100-47 = 53 (pieces). Therefore, the answer is: 53