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.
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.
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