Verified Answer :

  • Express the division as a fraction: \(\frac{0.7}{0.001}\).
  • Multiply both numerator and denominator by 1000 to eliminate the decimals: \(\frac{0.7 \times 1000}{0.001 \times 1000} = \frac{700}{1}\).
  • Divide the integers to obtain the final result: \(700\).
  • Final Answer: \(\boxed{700}\).

Explanation

  1. Understanding the Division Expression

The problem asks to perform the division of two decimal numbers: \(0.7 \div 0.001\). To solve this, we can express the division as a fraction:
\[ \frac{0.7}{0.001} \]
This fraction represents how many times \(0.001\) fits into \(0.7\). Dealing with decimals can be simplified by transforming the divisor into a whole number.

  1. Clearing the Decimals

To eliminate the decimal point in the denominator, we can multiply both the numerator and the denominator by the same power of ten. Since the divisor \(0.001\) has three decimal places, we multiply both by \(1000\):
\[ \frac{0.7 \times 1000}{0.001 \times 1000} \]
Calculating the products:

  • Numerator: \(0.7 \times 1000 = 700\)
  • Denominator: \(0.001 \times 1000 = 1\)

Thus, the expression simplifies to \(\frac{700}{1}\).

  1. Calculating the Final Quotient

Finally, we perform the division of the two resulting integers:
\[ \frac{700}{1} = 700 \]
Therefore, the result of dividing \(0.7\) by \(0.001\) is \(700\).

Examples

Imagine you have a large bottle containing 0.7 liters of water and you want to pour it into tiny vials that can each hold exactly 0.001 liters (which is 1 milliliter). By calculating \(0.7 \div 0.001\), you find that you can fill exactly 700 vials. This type of calculation is essential in chemistry, medicine, or any field where you need to scale down a total volume into smaller, precise units.

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