How to fill the missing digits that is divisible by the given divisor. 467__0÷8
Answers
hii mate!!
rule of 8 is that the last three digits must be divisible by it so
the answer to the blank would be 2 as 720 is divisible by 8
hope it helps you
please mark it as Brainliest
please......!!
Answer: 2 or 6
Step-by-step explanation:
let x be the missing digit. If the five digit number 467x0 is divisible by 8, then 7x0 is also divisible by 8
7x0 means 700+10x
700+10x divisible by 8 means 696+4+10x is divisible by 8. (700 when divided by 8 leaves a remainder of 4
⇒ 4+10x is divisible by 8 as 696 is divisible by 8
⇒ 10x+4 is a two digit number which is divisible by 8 and ends with the digit 4
⇒ 10x+4 = 24 or 64 (as two digit numbers divisible by 8 are 16,24,32,40,48,56,64,72,80,88, and 96)
so the missing digit is either 2 or 6
------------------------------------------
If a number is divisible by 8, then the number formed by the last three digits is also divisible by 8
So the last three digit can be 700, 710, 720, 730, 740, 750, 760, 770, 780 or 790
By trial and error method we can see that the possible numbers are 720 and 760. so the missing digits are 2 or 6