8. Between which two whole numbers will the product be found? \[ 3 \times 3 \frac{1}{7}= \]

To find the product of \(3 \times 3 \frac{1}{7}\), first convert the mixed number into an improper fraction. That would give you \(3 \frac{1}{7} = \frac{22}{7}\). Now, multiplying \(3\) by \(\frac{22}{7}\) gives you \(\frac{66}{7}\). To find whole numbers, divide \(66\) by \(7\), which is approximately \(9.42857\). Thus, the product will lie between \(9\) and \(10\). To check your understanding, consider estimating the multiplication. Since \(3\) is close to \(3.14\) (which is \(\pi\)), you could think about multiples of \(3\). For instance, around \(3 \times 3\) is \(9\), while \(3 \times 4\) inches toward \(12\). So, tweaking to decimals can clarify the range: \(9 < 9.42857 < 10\).