Change the last two digits of 8560 so that the resulting number is a multiple of 8. Class 6

Change the last two digits of 8560 so that the resulting number is a multiple of 8. Class 6

Question 1.

Change the last two digits of 8560 so that the resulting number is a multiple of 8. Class 6

Solution:

There is no need of any change. The number 8560 is itself divisible by 8: If we change the digits, then the number will become 8506 and in that case the resulting number 8506 will not be divisible by 8. However, if we write ‘04’ or ‘12’ or ‘76’ or ‘84’ or ‘92’ or ‘20’ or ‘36’ or ‘44’ or ‘52’ for last two digits ‘60’, then also the resulting number will be divisible by 8.

Question 2.

Consider this statement: Class 6

(а) Only the last three digits matter when deciding if a given number is divisible by 8.

(b) If the number formed by the last three digits is divisible by 8, then the original number is divisible by 8.

(c) If the original number is divisible by 8, then the number formed by the last three digits is divisible by 8.

Do you agree? Why or why not?

Solution:

Yes, I agree.