Question

Which of these nonterminating decimals can be converted into a rational number?
A. 0.48907542
B. 0.02020202
C. 0.92589542
D. 0.10203040

Answer 1

@1confusedperson1
"A repeating decimal is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending. All repeating decimals can be rewritten as rational numbers."
http://www.virtualnerd.com/middle-math/number-theory-fractions/fractions-decimals/repeating-decimal-definition

Answer 2

A repeating decimal is a type of nonterminating decimal. So, while all the options you posted are nonterminating decimals, only one (in this case) is a rational number.

Look for the decimal option that has a finite repeating block of digits.

For example, the infinite repeating decimal .12121212121212... is a rational number. The repeated block contains two digits that remain the same 12 12 12 12 and so on.

.12121212121212... is the rational number 4/33 .

@1confusedperson1 Your task is to analyze the options to find the one with the repeating block. The answer is not C as suggested by @WinterRaine