If `1.5 div 12=0.125` what is the value of `1500 div 0.012`

Options

A. 12500
B. 125
C. 125000
D. 1250

Answer

To solve the problem, we need to find the value of \( 1500 \div 0.012 \) given that \( 1.5 \div 12 = 0.125 \).

### Step-by-Step Solution:

1. **Understand the relationship between the numbers**:
We know that \( 1.5 \div 12 = 0.125 \). We can rewrite this in a way that helps us understand how to manipulate the numbers.

2. **Scaling the numerator**:
Notice that \( 1500 \) is \( 1.5 \) multiplied by \( 1000 \):
\[ 1500 = 1.5 \times 1000 \]

3. **Scaling the denominator**:
Similarly, \( 0.012 \) can be expressed as \( 12 \div 1000 \):
\[ 0.012 = \frac{12}{1000} \]

4. **Rewrite the division**:
We can now rewrite the division \( 1500 \div 0.012 \) using the scaled values:
\[ 1500 \div 0.012 = \frac{1500}{0.012} = \frac{1.5 \times 1000}{\frac{12}{1000}} \]

5. **Simplifying the expression**:
When we divide by a fraction, we multiply by its reciprocal:
\[ \frac{1.5 \times 1000}{\frac{12}{1000}} = 1.5 \times 1000 \times \frac{1000}{12} \]

6. **Calculating the result**:
This simplifies to:
\[ = \frac{1.5 \times 1000 \times 1000}{12} \]
Now, we know from the original equation that \( 1.5 \div 12 = 0.125 \), so:
\[ 1.5 \times 1000 = 1250 \]
Thus, we have:
\[ 1500 \div 0.012 = 1250 \times 1000 \]
Therefore:
\[ 1500 \div 0.012 = 125000 \]

### Final Answer:
The value of \( 1500 \div 0.012 \) is \( 125000 \).