1)) Type a digit that makes this statement true 307,583 is divisible by 3 .

To determine a digit that makes the number **307,583** divisible by **3**, follow these steps: ### **Divisibility Rule for 3** A number is divisible by **3** if the **sum of its digits** is divisible by **3**. ### **Step 1: Calculate the Sum of the Digits** Let's add the digits of **307,583**: \[ 3 + 0 + 7 + 5 + 8 + 3 = 26 \] ### **Step 2: Determine the Required Digit** Since **26** is not divisible by **3**, we need to find a digit **\(x\)** such that: \[ 26 + x \equiv 0 \ (\text{mod} \ 3) \] This means: \[ x \equiv 1 \ (\text{mod} \ 3) \] Possible digits for **\(x\)** that satisfy this condition are **1, 4,** and **7**. ### **Conclusion** Any of the digits **1, 4,** or **7** appended to **307,583** will make the number divisible by **3**. **For example:** - **307,5831** - **307,5834** - **307,5837** All of these numbers are divisible by **3**. **So, a valid digit to make the statement true is:** **1**