WebIf you end up with a remainder of 0 , then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal. Example 1: Convert the fraction 5 8 to a decimal. The division is as follows: 0.625 8 5.000 48 _ 20 16 _ 40 40 _ 0. So, 5 8 = 0.625 . This is a terminating decimal. WebMar 28, 2024 · Ex1.3, 6 Look at several examples of rational numbers in the form / (q 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy? Let us take 1/2 , 1/4 , 7/8 , 37/25 , 8/125 ,17/20 , 31/16 etc. which has terminating decimal …

Repeating decimal - Math

WebJan 25, 2024 · These terminating decimals can be expressed in the form \(\frac{p}{q}.\) Example: Express \(0.2\) in the form of \(\frac{p}{q}.\) Solution: \(0.2 = \frac{{0.2 \times … WebDefinition. A terminating decimal is a decimal number that eventually ends after a certain number of decimal digits. 1/2 = 0.5, 1/4 = 0.25, and 6/25 = 0.24 are examples of … continuously evolving tech

Recurring Decimal - Types, Conversion and Solved Examples

WebAug 10, 2016 · The above is a non terminating decimal. However, terminating decimals end after a certain number, and they do not go on infinitely like non-terminating ones. … WebJan 13, 2024 · These decimals numbers are the decimals that have a finite number of digits after the decimal point. These are also called exact decimal numbers, as the digits after the decimal point is countable. … WebThe decimal expansion of 2 - 3 \sqrt{3} 3 is non-terminating, non-repeating as 3 \sqrt{3} 3 is an irrational number, 2 - 3 \sqrt{3} 3 is also an irrational number and decimal expansion of an irrational number is non-terminating, non-repeating. ∴ Option 3, is the correct option. continuously fails to install