Question

Evaluate the expression `n * 7 * 11 * 13` for the following values of `n: n = 263, n = 389, n =59`. Do you see a faster way to evaluate the expression? How would you use the shortcut to evaluate the expression for `n=975`?

Answer 1

`975,975`

Explanation:

Substitute `n` with the corresponding number"

1. `263*7*11*13=263,263`
2. `389*7*11*13=389,389`
3. `59*7*11*13=59,059`

As you can tell by the pattern, multiplying a number by `7*11*13` or `1001` will just be the number itself repeating once.

Following this pattern, `n=975` should be `975,975`.