Question

problem 2 determine the value of $1.6\div0.04$.

Explanation:

Step1: Convert decimals to fractions

We know that \(1.6=\frac{16}{10}\) and \(0.04 = \frac{4}{100}\). So the division \(1.6\div0.04\) can be written as \(\frac{16}{10}\div\frac{4}{100}\).

Step2: Use the rule of dividing fractions

When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of \(\frac{4}{100}\) is \(\frac{100}{4}\). So we have \(\frac{16}{10}\times\frac{100}{4}\).

Step3: Simplify the multiplication

First, simplify the numbers. \(\frac{16}{4} = 4\) and \(\frac{100}{10}=10\). Then multiply the results: \(4\times10 = 40\).

Answer:

\(40\)