Priya divides one integer by another integer and gets 0.353535.... as result. a) What kind of decimal number is her answer?
Answer (1)
Priya’s result from dividing one integer by another, which is 0.353535..., is a repeating decimal.
What is a Repeating Decimal?
A repeating decimal is a type of decimal number in which a digit or a group of digits repeats indefinitely. In this case, the decimal 0.353535... means that the numbers '35' repeat continuously.
How to Identify a Repeating Decimal?
Pattern Observation : Observe the decimal part of the number. If the same sequence of digits appears over and over again, it is a repeating decimal.
Notation : In some cases, a bar is placed over the repeating digits to indicate the recurring nature, so 0.353535... is often written as 0. 35 .
Why Does This Happen?
Repeating decimals typically arise when dividing two integers where the division does not result in a terminating decimal. Instead, the remainder repeats at some point during the long division process, causing the digits after the decimal point to repeat.
This type of decimal can be expressed as a fraction because it results from dividing one integer by another. In mathematical terms, all repeating decimals are rational numbers because they can be written as fractions.
