How would you convince a fellow student that 0.57 is rational number?
by writing it as an exact fraction in the form
57/100
Thanks :)
To convince a fellow student that 0.57 is a rational number, you can follow these steps:
Step 1: Understand the concept of a rational number
First, make sure you have a clear understanding of what a rational number is. A rational number is any number that can be expressed as a fraction, where the numerator and denominator are integers, and the denominator is not zero.
Step 2: Express 0.57 as a fraction
To show that 0.57 is a rational number, we need to express it as a fraction. The easiest way to do this is by using the place value of each digit. In 0.57, the 5 is in the tenths place and the 7 is in the hundredths place.
Step 3: Convert the decimal to a fractional form
To convert 0.57 to a fraction, we can use the fact that the decimal point separates the whole number part from the fractional part. The fractional part is the denominator, and the whole number part, when multiplied by a power of 10, becomes the numerator.
0.57 can be written as: 57/100
Step 4: Simplify the fraction
To further prove that 0.57 is a rational number, we can simplify the fraction. In this case, 57/100 is already simplified because there is no common factor between the numerator and denominator other than 1.
Step 5: State the conclusion
Now that we have expressed 0.57 as a fraction (57/100), we have proven that it is a rational number. You can explain to your fellow student that any number that can be expressed as a fraction, like 0.57, is considered rational.