The number 0.07 is 1000 times as large as which of the following numbers ?

Options

A. 0.7
B. 0.07
C. 0.007
D. 7.0E-5

Answer

To solve the problem, we need to find a number \( x \) such that \( 0.07 \) is 1000 times larger than \( x \). We can express this mathematically as follows:

1. **Set up the equation**:
We know that if \( 0.07 \) is 1000 times larger than \( x \), we can write the equation:
\[ 0.07 = 1000 \times x \]

2. **Isolate \( x \)**:
To find \( x \), we need to divide both sides of the equation by 1000:
\[ x = \frac{0.07}{1000} \]

3. **Perform the division**:
Now, we can calculate \( \frac{0.07}{1000} \):
\[ x = 0.07 \div 1000 = 0.00007 \]

4. **Convert to scientific notation**:
The number \( 0.00007 \) can be expressed in scientific notation:
\[ 0.00007 = 7 \times 10^{-5} \]

5. **Final answer**:
Therefore, the number \( x \) that \( 0.07 \) is 1000 times larger than is:
\[ x = 7 \times 10^{-5} \]