Why is 0.57 a rational number?

because I can write is a fraction

.57 = 57/100

I have also seen this referring to 0.57 meaning a repeating decimal. In that case,

0.57 = 57/99

because if
x = 0.57
100x = 57.57

now subtract and the .57 part goes away and you are left with

99x = 57

To determine whether 0.57 is a rational number, we need to check if it can be written as a fraction of two integers.

In decimal form, 0.57 means 57 divided by 100, or 57/100.

Since 57 and 100 are both integers, and 0.57 can be expressed as a fraction, we can conclude that 0.57 is indeed a rational number.

To determine if 0.57 is a rational number, we need to check if it can be expressed as a fraction of two integers.

To do this, we can express 0.57 as the division of the decimal part by 1.

In this case, 0.57 can be written as 57/100 because the decimal point is moved two places to the right to convert it into a fraction. Both 57 and 100 are integers, so 0.57 can be expressed as a fraction of two integers.

Since 0.57 can be written as the quotient of 57/100, it is indeed a rational number.