Start by prove to them the the number 0.57 deserve to be converted right into a portion . A totality number can"t exactly be placed in come a fraction. 0.57 have the right to be convert to 14.25/25. This information way that 0.57 IS a rational number. Hope this persuaded them!

0.57 = 57/100 this way it needs to be rational.

You are watching: How would you convince a fellow student that 0.57 is a rational number

Explanation: You have actually to define to them that any kind of number that can be created in fraction type is a rational number. This contains integers, terminating decimals, and repeating decimals as well as fractions. An integer deserve to be written as a portion simply by giving it a denominator of one, so any type of integer is a reasonable number.

4+y = -36

y = -40

The definition of a reasonable number is the proportion of two integers

Lets rewrite .57 as a fraction

.57 = 57/100

Both 57 and also 100 space integers and 57/100 is the ratio of integers for this reason .57 is rational.

Step-by-step explanation:

4+y = -36

Subtract 4 from every side

4+y-4 = -36-4

y = -40

The definition of a reasonable number is the ratio of 2 integers

Lets rewrite .57 together a fraction

.57 = 57/100

Both 57 and 100 space integers and 57/100 is the ratio of integers for this reason .57 is rational.

Irrational numbers cannot be written in the type of a portion in i beg your pardon both the numerator and also denominator are whole numbers. Therefore, you have the right to prove come your other student through using57/100 together a portion in i beg your pardon both the numerator and denominator are totality numbers and is tantamount to 0.57
Sorry however i only understand the answer come number 3A rational number is a number that deserve to be written as a fraction where numerator and also denominator are both integers (and the denominator is not zero).Since 0.57 = 57/100, so the number 0.57 deserve to be composed as a fraction where the molecule (57) and denominator (100) room both integers.
You have actually to define to lock that any number that deserve to be created in fraction kind is a rational number. This includes integers, end decimals, and repeating decimals as well as fractions. An integer have the right to be written as a fraction simply by offering it a denominator of one, so any integer is a rational number.
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