Question: Suppose that the decimal representation of a nonnegative integer n ends in d 1 d 0 . For example, for the number 3 6 7

Suppose that the decimal representation of a nonnegative integer n ends in d1d0.
For example, for the number 3678, we have d1=7 and d0=8. Prove that if 4|(10d1+ d0),
then 4| n.
Hint: If the decimal representation of a nonnegative integer n ends in d1d0, then there is an
integer s such that n =100s +10d1+ d0.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

Q:

The owner of Neros company has hired you to analyze her company's performance and financial position, as well as the positions of Iits competitors, Centar and Xermix. However, the data Neros abtained...

Q:

1. In this problem, we present an algorithm that can be used to determine the base two (binary) representation of a nonnegative integer n. The output is a sequence of binary digits ro, 1,..., rk such...

Q:

C++ JUST TASK 2 For this project, you will practice decomposing a problem into functions. In the final part, you will also get some practice with pass-by-reference functions. As part of this lab is...

Q:

C++ Program: For this project, you will practice decomposing a problem into functions. In the final part, you will also get some practice with pass-by-reference functions. As part of this lab is to...

Q:

Using Python In the decimal system (base 10), a natural number is represented as a sequence dndn?1 . . . d0 of (decimal) digits, each of which is in the range 0..9. The value of the number is d0 100...

Q:

5 [007] (25%) [Analysis of non-recursive algorithm] Cons questions below. algorithm) Consider the following algorithm. Answer Algorithm Mystery(n) // Input: A nonnegative integer "n" Sto for i = 1 to...

Q:

Please respond with python code only Tatooine planet is under attack from stormtroopers, and there is only one line of defense remaining. You have been hired by TASA (Tatooine Air and Space...

Q:

please only answer in code Given lines Tatooine planet is under attack from stormtroopers, and there is only one line of defense remaining. You have been hired by TASA (Tatooine Air and Space...

Q:

please only answer in python Tatooine planet is under attack from stormtroopers, and there is only one line of defense remaining. You have been hired by TASA (Tatooine Air and Space Administration)....

Q:

Need formal proofs please. Definition: Given any nonnegative integer n, the decimal representation of n is an expression of the form: dkdk-1 ...dzd,do. where k is a nonnegative integer; do.di,d. dk...

Q:

part 2 please consider part 1 please make the changes in my code and please do not provide different codes and make sure that they pass the test cases and gives the expected output please refer to...

Q:

How do you think the network technique could be used to estimate costs for manufacturing?

Q:

In the eighteenth century, some writers argued that one person in a trade could be made better off only by gaining at the expense of the other. Explain the fallacy in this argument.

Q:

Select cell F7, tap (Tab ], and enter the information for the newly acquired fixed asset into the range A8:E8

Q:

The doctrines and principles announced in court decisions are also a primary source of law. Group of answer choices False True