Tags Numbers

Animals & Plants Arts & Entertainment Auto Beauty & Health Books and Literature Business Electronics Engineering & Technology Food & Drink History Hobbies Jobs & Education Law & Government Math People & Society Science Social Studies Sports Travel & Places

0

Subjects>Math>Math & Arithmetic

Do all rational numbers have a finite number of decimal places?

Updated: 9/18/2023

Wiki User

∙ 13y ago

Best Answer

No. Either they have a finite number of decimals, or they repeat.

Examples: 1/4 = 0.25

1/3 = 0.333...

1/7 = 0.142857142857...

Wiki User

∙ 13y ago

This answer is:

Add your answer:

Earn +20 pts

Q: Do all rational numbers have a finite number of decimal places?

Write your answer...

Submit

Still have questions?

imp

Continue Learning about Math & Arithmetic

Is 17.1 rational?

Yes. Any number that can be expressed as a finite or repeating decimal is a rational number. Irrational numbers have decimal expansions that neither repeat nor terminate.

Is 10.625 a rational number?

ANY number with a finite amount of decimal digits is rational.

Is 2.7182845904 a rational number?

Any number with a finite number of decimal digits is RATIONAL.

Is decimal a rational number?

It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.

How do you identify a rational number?

In non-decimal form, it is either a whole number of written as a fraction (a ratio) of two whole numbers. In decimal form, it is either terminating or (after a finite number of digits) recurring.

Related questions

Is 5.88 a rational number?

A rational number is a number that can be expressed as a fraction. All finite decimal numbers are rational. In this case 5.88 is rational because it can be expressed as 588/100

Is 17.1 rational?

Yes. Any number that can be expressed as a finite or repeating decimal is a rational number. Irrational numbers have decimal expansions that neither repeat nor terminate.

Is the decimal .6 rational?

Any number with a finite number of decimals is rational.

Is 7.81 a rational number?

Yes. Any number with a finite number of decimal digits is rational.

What is the sum of the rational numbers?

The sum of any finite set of rational numbers is a rational number.

Is 7.11 rational or irrational?

A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)

Is 0.692 rational or irrational?

ANY number with a finite number of decimal digits is RATIONAL.(Also, numbers with an infinite number of decimals may be rational - in which case the digits repeat - or irrational.)

How is a decimal a rational number?

A decimal is a rational number if:* It terminates - i.e., it has a finite number of decimal digits. * It doesn't terminate, but it repeats the same pattern over and over - possibly after a finite number of digits that are not included in the pattern. For example, 0.145145145145..., or 3.125252525...

Is 10.625 a rational number?

ANY number with a finite amount of decimal digits is rational.

Is 2.7182845904 a rational number?

Any number with a finite number of decimal digits is RATIONAL.

Is 0.844 an irrational number?

No. Any number which has a finite number of decimal digits is RATIONAL.

Is 821 a rational number?

ANY number that has a finite number of decimal digits is RATIONAL.

Trending Questions

If a related measures experiment and matched subject experiment both produce t statistics with degrees of freedom of 20 which experiment used more subjects? What year did you start ninth grade if you were born in 1988? How many years equal 2 centuries? What disadvantages are there to using parametric equations for numeric values? Area of a regular octagon with a perimeter of 72? Second most quoted verse in the bible? Is the area of a 3 dimensional figure is measured in square units? How do you write 0.2156 in expanded form? Why is it important to test your hypothesis and collect evidence? Which unit is used in computer for arithmetic calculation? What is the simplest radical form of 20? How many answers are there for a 3 digit keypad? What is the answer to x2- 4x-12? What are the advantages of regression over correlation? What are the prime numbers between 3 and 100? Right 406 000 in scientific notation? What is -144 over -9? What is the reciprocal of 4 over 3? What is February 2nd 2009 in roman numerals? How do you work out i am thinking of a number?

Previously Viewed

Do all rational numbers have a finite number of decimal places?

Resources

Top Categories

Product

Company

Copyright ©2024 Infospace Holdings LLC, A System1 Company. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers.