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45 votes
45 votes
Type a digit that makes this statement true. 866,4_6 is divisible by 8.

User JagaSrik
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2 Answers

10 votes
10 votes

Final answer:

The digit that makes the number 866,4_6 divisible by 8 is 4, as the last three digits, 446, are divisible by 8 with no remainder.

Step-by-step explanation:

To determine a digit that makes the number 866,4_6 divisible by 8, one must remember that for a number to be divisible by 8, the last three digits of that number must also be divisible by 8. Looking at the number 866,4_6, we need to focus on the last three digits: 4?6. By trying different digits (0-9) in place of the question mark, we find that the digit 4 makes the last three digits, 446, divisible by 8.

The divisibility rule of 8 requires that the number formed by the last three digits when divided by 8 leaves no remainder. Therefore, 866,446 is divisible by 8 because 446 ÷ 8 equals 55 with no remainder, indicating successful divisibility by 8.

User David Reed
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2.7k points
14 votes
14 votes

Answer:

866,416

Step-by-step explanation:

To begin, I would suggest you divide what you can use in the long division by 8. Once you have done that, you will place a 0 and carry down the 6. Now think carefully about any numbers that can be divided by 8 and have ended in 6. The number which pops up in my head first would be 16, thus for the number to be divisible by 8, the number will 866,416.

User David Bensoussan
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3.0k points