Question

Without actual division, show that 11 is a factor of the numbers :- a) 1111 b) 1100011​

Answer 1

Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11. Since -11 is divisible by 11, so is 2728.

so:

a)1111 = 1-1+1-1 = 0, 0 is divisible by 11, so 1111 is divisible by 11

b)1100011 = 1-1+0-0+0-1+1 = 0, 0 is divisible by 11, so 1100011 is divisible by 11

plsz mark as brainlyest.

Answer 2

Step-by-step explanation:

1111 is divisible by 11 because-

even places- 1+1=2

odd places- 1+1=2

Difference =2-2=0

And 0 is divisible by 11 so 1111 is divisible 11.

And next u solve by your own.