Problem

A well-known rule used to find the square of an integer with decimal expansion (anan−1 … a...

A well-known rule used to find the square of an integer with decimal expansion (anan−1 … a1a0)10 and final digit a0 = 5 is to find the decimal expansion of the product (anan−1a1)10 [(anan−1a1)10 + 1], and append this with the digits (25)10. For instance, we see that the decimal expansion of (165)2 begins with 16 · 17= 272, so that (165)2 = 27,225. Show that this rule is valid.

Step-by-Step Solution

Request Professional Solution

Request Solution!

We need at least 10 more requests to produce the solution.

0 / 10 have requested this problem solution

The more requests, the faster the answer.

Request! (Login Required)


All students who have requested the solution will be notified once they are available.
Add your Solution
Textbook Solutions and Answers Search
Solutions For Problems in Chapter 2.2