How would you convince a fellow student of the number .57 is a rational number
To convince a fellow student that the number 0.57 is a rational number, you can follow these steps:
1. Explain what a rational number is: Start by explaining that a rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
2. Show that 0.57 can be written as a fraction: To demonstrate that 0.57 is a rational number, we need to find a way to express it as a fraction.
a. Consider the number 0.57. We know that it can also be written as 57/100, where 57 is the numerator and 100 is the denominator.
b. Explain that both 57 and 100 are integers and 100 is not equal to zero, satisfying the definition of a rational number.
3. Simplify the fraction: Next, simplify the fraction 57/100 by finding the greatest common divisor (GCD) of the numerator and denominator, which is 1 in this case. Divide both the numerator and denominator by this GCD.
a. Divide both 57 and 100 by 1. The resulting fraction is 57/100.
4. Present the simplified fraction form: Explain that the fraction 57/100 is now in its simplest form and represents the decimal 0.57 exactly.
5. Reinforce that 0.57 is a rational number: Remind your fellow student that since we were able to express 0.57 as the quotient of two integers (57/100), where the denominator is not zero, 0.57 is indeed a rational number.
By following these steps, you can explain and convince your fellow student that 0.57 is a rational number.