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Type a digit that makes this statement true: 79,57_875 is divisible by 9

Type a digit that makes this statement true.
79,57_875 is divisible by 9.




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1 Answer

  1. To determine the digit that makes 79,57_875 divisible by 9, we need to use the rule of divisibility for 9. This rule states that a number is divisible by 9 if the sum of its digits is divisible by 9.

    First, let’s find the sum of the known digits in the number 79,57_875:

    – 7 + 9 + 5 + 7 + 8 + 7 + 5 = 48

    Now, let’s denote the missing digit as “x”. The new sum of the digits would be:

    – 48 + x

    Next, we need to find a value for x such that the total sum (48 + x) is divisible by 9.

    Now, let’s check the nearest multiples of 9 above 48:

    – 54 (which is 48 + 6)

    – 63 (which is 48 + 15, not possible since x can only be a single digit)

    Since 54 is the first multiple of 9 after 48, we can solve for x:

    – 48 + x = 54

    – x = 54 – 48

    – x = 6

    Thus, the digit that makes the statement true is 6.

    So, 79,576875 is divisible by 9. Keep exploring, and let me know if you need help with something else!

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