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
1 Answer
Verified archiveTo 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!