Find, without dividing, whether the following numbers are divisible by 9. Class 8

Find, without dividing, whether the following numbers are divisible by 9. Class 8

Question 1.

Find, without dividing, whether the following numbers are divisible by 9. Class 8

(i) 123

(ii) 405

(iii) 8888

(iv) 93547

(v) 358095

Solution:

(i) 1 + 2 + 3 = 6, which is not divisible by 9. So, 123 is not divisible by 9.

(ii) 4 + 0 + 5 = 9, divisible by 9.

So, 405 is divisible by 9.

(iii) 8 + 8 + 8 + 8 = 32, not divisible by 9.

So, 8888 is not divisible by 9.

(iv) 9 + 3 + 5 + 4 + 7 = 28, not divisible by 9.

So, 93547 is not divisible by 9.

(v) 3 + 5 + 8 + 0 + 9 + 5 = 30, not divisible by 9.

So, 358095 is not divisible by 9.

Question 2.

Find the smallest multiple of 9 with no odd digits. Class 8

Solution:

The smallest multiple of 9 with no odd digits is 288.