Understanding Cyclic Numbers

Understanding Cyclic Numbers

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

Created by

Emma Peterson

FREE Resource

The video explores the fascinating world of cyclic numbers, focusing on the number 142857. It demonstrates how multiplying this number by various integers results in permutations of the original number, highlighting its unique properties. The video delves into the mathematical explanation behind cyclic numbers, their relation to prime numbers, and their occurrence in different bases. Additionally, it touches on the historical and quirky aspects of cyclic numbers, including their visual representation and cultural references.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you multiply 142857 by a number that is not a multiple of seven?

The number doubles

You get a permutation of 142857

It becomes a prime number

The result is always zero

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a property of the number 142857 when multiplied by numbers 1 to 6?

It forms a palindrome

It results in a sequence of zeros

It becomes a perfect square

It produces a permutation of itself

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a cyclic number?

A number that is always prime

A number that never changes

A number that repeats in a cycle when multiplied

A number that is divisible by ten

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the number 142857 related to the decimalization of fractions?

It is unrelated to fractions

It is the decimalization of 1/3

It appears in the decimalization of 1/5

It appears in the decimalization of 1/7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What percentage of prime numbers result in cyclic numbers?

25%

37.3%

10%

50%

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What unique property does the number 142857 have when its digits are rearranged?

It forms a palindrome

It becomes a prime number

It results in all nines

It forms a perfect square

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you square the first three digits of 142857?

It forms a sequence of zeros

It becomes a prime number

It doubles in value

It results in a permutation of 142857

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