Determine which of the values could be used to clear decimals in the given equation. \( 0.002-0.003 x=0.1 x \) \( \square 10,000 \) \( \square 1000 \) \( \square 100,000 \)

To clear the decimals in the equation \( 0.002 - 0.003x = 0.1x \), we can multiply the entire equation by a power of 10 that will eliminate all the decimal places. First, let's identify the decimal places in the equation: - The term \( 0.002 \) has 3 decimal places. - The term \( 0.003x \) also has 3 decimal places. - The term \( 0.1x \) has 1 decimal place. The maximum number of decimal places in the equation is 3 (from \( 0.002 \) and \( 0.003x \)). Therefore, we need to multiply the entire equation by \( 10^3 = 1000 \) to eliminate all the decimals. Now, let's check the options provided: 1. **Multiplying by 10,000**: This would also clear the decimals, but it is not the smallest value needed to clear them. 2. **Multiplying by 1,000**: This is the exact value needed to clear the decimals. 3. **Multiplying by 100,000**: This would also clear the decimals, but it is larger than necessary. Thus, the value that could be used to clear the decimals in the equation is: \(\square 1000\)