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Which digit makes this statement true?9 978 ?80 is divisible by 8.

Question

Which digit makes this statement true?9 978 ?80 is divisible by 8.

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Solution

To find out which digit makes 9 978 ?80 divisible by 8, we need to remember that a number is divisible by 8 if the last three digits of the number form a number that is divisible by 8.

Here, the last three digits are "?80".

We need to find a digit that can replace "?" to make "?80" divisible by 8.

Let's try:

  • If "?" is 0, the number is 080, which is divisible by 8.
  • If "?" is 1, the number is 180, which is not divisible by 8.
  • If "?" is 2, the number is 280, which is divisible by 8.
  • If "?" is 3, the number is 380, which is not divisible by 8.
  • If "?" is 4, the number is 480, which is divisible by 8.
  • If "?" is 5, the number is 580, which is not divisible by 8.
  • If "?" is 6, the number is 680, which is divisible by 8.
  • If "?" is 7, the number is 780, which is not divisible by 8.
  • If "?" is 8, the number is 880, which is divisible by 8.
  • If "?" is 9, the number is 980, which is not divisible by 8.

So, the digits that can replace "?" to make 9 978 ?80 divisible by 8 are 0, 2, 4, 6, and 8.

This problem has been solved

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