The product of two numbers is 0.646 and one of the numbers is 1.7. What is the other number ?

Options

A. 0.38
B. 0.038
C. 3.8
D. 38

Answer

To find the other number when the product of two numbers is given, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We know that the product of two numbers is 0.646 and one of the numbers is 1.7. We need to find the other number.

2. **Set Up the Equation**: Let the other number be \( x \). According to the problem, we can write the equation:
\[ 1.7 \times x = 0.646 \]

3. **Isolate \( x \)**: To find \( x \), we need to divide both sides of the equation by 1.7:
\[ x = \frac{0.646}{1.7} \]

4. **Eliminate Decimals**: To simplify the division, we can eliminate the decimals. We can multiply the numerator and the denominator by 10 to make calculations easier:
\[ x = \frac{0.646 \times 10}{1.7 \times 10} = \frac{6.46}{17} \]

5. **Perform the Division**: Now we need to divide 6.46 by 17. We can do this by performing long division or using a calculator:
\[ x = 0.38 \]

6. **Conclusion**: Therefore, the other number is:
\[ \boxed{0.38} \]