Question

problem 4 calculate $3.5 \div 0.005$.

Explanation:

Step1: Convert decimals to fractions

We know that \(3.5=\frac{35}{10}\) and \(0.005 = \frac{5}{1000}\). So the division \(3.5\div0.005\) can be written as \(\frac{35}{10}\div\frac{5}{1000}\).

Step2: Divide fractions (multiply by reciprocal)

When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction. So \(\frac{35}{10}\div\frac{5}{1000}=\frac{35}{10}\times\frac{1000}{5}\).

Step3: Simplify the multiplication

First, simplify the numbers. \(35\div5 = 7\) and \(1000\div10=100\). Then we have \(7\times100\).

Step4: Calculate the result

\(7\times100 = 700\).

Answer:

\(700\)