The product of two numbers is `90.042.`If one of the numbers is `25.8,` find the other number.

Options

A. `3.49`
B. `3.99`
C. `7.49`
D. `2.49`

Answer

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

### Step-by-Step Solution:

1. **Identify the given values**:
- The product of two numbers (let's call them A and B) is given as `90.042`.
- One of the numbers (A) is given as `25.8`.
- We need to find the other number (B).

2. **Set up the equation**:
- We know that \( A \times B = 90.042 \).
- Substituting the value of A, we have:
\[ 25.8 \times B = 90.042 \]

3. **Isolate B**:
- To find B, we can rearrange the equation:
\[ B = \frac{90.042}{25.8} \]

4. **Perform the division**:
- To simplify the division, we can eliminate the decimal from the denominator.
- Multiply both the numerator and the denominator by 10:
\[ B = \frac{90.042 \times 10}{25.8 \times 10} = \frac{900.42}{258} \]

5. **Calculate the division**:
- Now, we divide `900.42` by `258`.
- First, we can ignore the decimal and focus on `90042` divided by `258`.

6. **Estimate how many times 258 fits into 90042**:
- Start with estimating:
- \( 258 \times 3 = 774 \)
- \( 258 \times 4 = 1032 \)
- Continue estimating until you find the quotient.

7. **Perform the long division**:
- After performing the long division, we find that:
- \( 90042 \div 258 \approx 349 \)

8. **Adjust for the decimal**:
- Since we multiplied by 10 earlier, we need to adjust the final answer:
\[ B = \frac{349}{10} = 34.9 \]

9. **Final answer**:
- Therefore, the other number (B) is:
\[ B = 34.9 \]

### Final Answer:
The other number is **34.9**.