Ep 3. Go Forth and Multiply

In the third episode of Secrets of Mental Math season 1, titled "Go Forth and Multiply," viewers dive deeper into the world of mental arithmetic. Host Arthur Benjamin explores techniques for multiplying large numbers mentally with ease and speed.

Throughout the episode, Benjamin breaks down the multiplication process into simple steps, sharing tips and tricks that help to reduce the complexity of the problem. He points out that one of the easiest ways to multiply is to break down the numbers into smaller multiples, like 10, 100 or 1000, and then add the products together. Another effective technique is to use squares for two-digit numbers, whereby the product is determined by multiplying the tens and units digits separately, and then combining the results.

As the episode progresses, Benjamin introduces more complex multiplication processes. For example, he sheds light on the grid method, wherein numbers are multiplied by breaking them up and placing them in a grid before adding the products together. He also demonstrates the "Russian peasant method" for multiplication, a technique that involves halving and doubling the numbers continuously until an answer is reached.

Furthermore, Benjamin also discusses the importance of being able to do quick mental division. He illustrates how the principles of multiplication also apply to division, and that there are tricks and shortcuts that make it easier. He also emphasizes the importance of understanding remainders and how to use them to solve problems quickly.

In addition to multiplication and division, the episode also delves into other mathematical concepts that help to improve one's mental calculation skills. For example, Benjamin talks about the Fibonacci sequence, a mathematical sequence that appears in many aspects of nature, from the spirals of seashells to the arrangement of leaves on a stem. He then shows viewers how to use the sequence to quickly convert between miles and kilometers, adding yet another weapon to the mental arithmetic arsenal.

Throughout the episode, viewers learn that mental calculation is not just about speed or lightning-fast calculations. Rather, it's about approaching math in a more intuitive and imaginative way, and that with the right techniques and practice, anyone can improve their mental math skills.

Overall, "Go Forth and Multiply" is an informative and engaging episode that gives viewers valuable insights into the world of mental arithmetic. It encourages viewers to embrace their calculations skills and shows them the paths to mental calculation mastery.