Asked by Trudy
Jane claimed that a number is divisible by 4 if each of the last two digits is divisible by 4. Is this claim accurate? If not, how would you suggest that Jane change it to make it accurate?
Answers
Answered by
Steve
True.
any 3-digit number is a multiple of 100 plus the last two digits.
Since 100 is divisible by 4, we just have to worry about the last two digits.
If they are 4a and 4b, then their value is 10(4a)+(4b) = 4(10a+b) which is a multiple of 4.
So, the whole number is divisible by 4.
any 3-digit number is a multiple of 100 plus the last two digits.
Since 100 is divisible by 4, we just have to worry about the last two digits.
If they are 4a and 4b, then their value is 10(4a)+(4b) = 4(10a+b) which is a multiple of 4.
So, the whole number is divisible by 4.
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