is 0.57 a rational number and why?
0.57 is rational explenation---- In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. ... A real number that is not rational is called irrational.
0.57 = 57/100
To determine whether 0.57 is a rational number, we need to check if it can be expressed as a fraction of two integers.
In this case, 0.57 can be written as 57/100, or simplified as 9/16. Since 9/16 is a ratio of two integers, we can conclude that 0.57 is a rational number.
To find this, we can convert the decimal representation (0.57) into a fraction:
1) Identify the place value of the decimal. There are two digits after the decimal point, so we move the decimal point two places to the right.
0.57 → 57
2) Determine the denominator of the fraction based on the number of decimal places. Since there are two decimal places, the denominator is 100 (10 raised to the power of 2).
3) Express the decimal as a fraction by writing the number without the decimal point as the numerator and the denominator based on the number of decimal places.
0.57 can be written as 57/100.
4) Simplify the fraction if possible. In this case, we can simplify 57/100 to 9/16.
Thus, we can conclude that 0.57 is a rational number.