Divide.
$3.9 \div 0.01$
$3.9 \div 0.01$
Divide.
$3.9 \div 0.01$
We are tasked with dividing the decimal \(3.9\) by the decimal \(0.01\). To perform this division, we need to understand how to handle decimal divisors. Dividing by \(0.01\) is equivalent to asking how many times \(0.01\) goes into \(3.9\). Since \(0.01 = \frac{1}{100}\), dividing by \(0.01\) is the same as multiplying by \(100\).
To simplify the division \(\frac{3.9}{0.01}\), we can eliminate the decimal point in the denominator by multiplying both the numerator and the denominator by \(100\). This operation does not change the value of the quotient because we are multiplying by \(\frac{100}{100} = 1\).
Performing the multiplication:
\[\frac{3.9 \times 100}{0.01 \times 100} = \frac{390}{1}.\]
This simplifies the division to \(390 \div 1 = 390\).
Imagine you are at a foreign currency exchange booth where the exchange rate is such that for every 1 unit of the local currency, you get 0.01 units of another currency. If you have 3.9 units of the first currency and you want to know how many times the rate fits into your total, you are performing the division \(3.9 \div 0.01\). This calculation tells you that you have 390 of those smaller units, which is a common scenario in finance when converting between different denominations.