The product of two decimals is 1.5008. If one of them is 0.56, find the other.

Options

A. `2.58`
B. `2.68`
C. `2.48`
D. `2.28`

Answer

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

### Step-by-Step Solution:

1. **Identify the Given Information:**
We know that the product of two decimals is 1.5008, and one of the decimals is 0.56. We need to find the other decimal, which we will call \( x \).

2. **Set Up the Equation:**
According to the problem, we can write the equation as:
\[ 0.56 \times x = 1.5008 \]

3. **Isolate \( x \):**
To find \( x \), we need to divide both sides of the equation by 0.56:
\[ x = \frac{1.5008}{0.56} \]

4. **Perform the Division:**
Now, we will calculate \( \frac{1.5008}{0.56} \). To make the division easier, we can eliminate the decimal by multiplying both the numerator and denominator by 100:
\[ x = \frac{1.5008 \times 100}{0.56 \times 100} = \frac{150.08}{56} \]

5. **Calculate the Division:**
Now, we perform the division:
\[ 150.08 \div 56 = 2.680 \]

6. **Final Answer:**
Therefore, the other decimal \( x \) is:
\[ x = 2.680 \]

### Summary:
The other decimal is **2.680**.