what digit can be placed in 52,13_ to make it divisible by 9?
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what digit can be placed in 52,13_ to make it divisible by 9?
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Answer:
7
Step-by-step explanation:
To determine the missing digit in the number 52,13_, so that it is divisible by 9, we can use the divisibility rule for 9. According to the rule, a number is divisible by 9 if the sum of its digits is divisible by 9.
Let's calculate the sum of the known digits in 52,13_:
5 + 2 + 1 + 3 = 11
To make the number divisible by 9, we need to find a digit that, when added to 11, will result in a sum that is divisible by 9.
The next multiple of 9 greater than 11 is 18 (9 x 2). To reach this multiple, we need to add 7 to 11:
11 + 7 = 18
Therefore, the missing digit in 52,13_ that will make it divisible by 9 is 7.