35 `div` .007=?

Options

A. 50
B. 500
C. 5000
D. none of these

Answer

To solve the problem \( 35 \div 0.007 \), we can follow these steps:

### Step 1: Convert the Division to Eliminate the Decimal
To eliminate the decimal in the divisor (0.007), we can multiply both the numerator (35) and the denominator (0.007) by 1000. This will convert 0.007 into a whole number.

\[ 35 \div 0.007 = \frac{35 \times 1000}{0.007 \times 1000} = \frac{35000}{7} \]

### Step 2: Perform the Division
Now, we need to divide 35000 by 7.

\[ 35000 \div 7 \]

To do this division, we can calculate:

- 7 goes into 35 five times (since \( 7 \times 5 = 35 \)).
- Subtract 35 from 35, which gives us 0, and bring down the next two zeros (00).
- 7 goes into 0 zero times, so we bring down the next zero (0).
- 7 goes into 00 zero times again, so we bring down the last zero (0).
- Finally, 7 goes into 00 zero times, and we have 5000.

Thus,

\[ 35000 \div 7 = 5000 \]

### Step 3: Conclusion
The result of \( 35 \div 0.007 \) is:

\[ \boxed{5000} \]