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The product of two numbers is 2.0016. If...

The product of two numbers is 2.0016. If one of them is 0.72, find the other number.

A

2.078

B

2.0078

C

2.78

D

0.278

Text Solution

AI Generated Solution

The correct Answer is:
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 2.0016, and one of the numbers is 0.72. We need to find the other number. 2. **Set Up the Equation**: Let’s denote the other number as \( x \). According to the problem, we can write the equation: \[ 0.72 \times x = 2.0016 \] 3. **Isolate \( x \)**: To find \( x \), we need to divide both sides of the equation by 0.72: \[ x = \frac{2.0016}{0.72} \] 4. **Perform the Division**: Now, we will calculate \( \frac{2.0016}{0.72} \). To make the division easier, we can eliminate the decimals by multiplying both the numerator and the denominator by 100: \[ x = \frac{2.0016 \times 100}{0.72 \times 100} = \frac{200.16}{72} \] 5. **Calculate the Division**: Now, we perform the division: \[ x = \frac{200.16}{72} \approx 2.78 \] 6. **Conclusion**: Therefore, the other number is: \[ x \approx 2.78 \] ### Final Answer: The other number is **2.78**. ---
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