Type a digit that makes this statement true. 65,72 _ 823 is divisible by 3.

To determine which digit (let’s call it ( x )) makes the statement 65,72( x )823 divisible by 3, you can use the rule of divisibility for 3. This rule states that a number is divisible by 3 if the sum of its digits is divisible by 3.

Let’s add the digits in 65,72( x )823:

– Sum of the digits: ( 6 + 5 + 7 + 2 + x + 8 + 2 + 3 = 33 + x )

Next, we need to find a digit ( x ) such that ( 33 + x ) is divisible by 3. Since 33 is already divisible by 3 (as ( 33 div 3 = 11 )), ( x ) must also be divisible by 3.

The possible digits ( x ) can be 0, 3, 6, or 9. Each of these digits will satisfy the condition.

So, the digits that can be used to complete the statement are: 0, 3, 6, or 9.