What makes 50.652 rational?
1 answer:
Remember a rational number is a number that can be written with two whole numbers in a fraction, for example, 0.25 can be written as 1/4 notice how, both, the numerator and denominator are whole numbers AKA Integers(numbers that aren't decimals or fractions).
any number that can't be written by whole numbers in the numerator or denominator is an irrational number, things like Pi, Pi cannot be written by two whole numbers in the fraction.
50.652, is definitely rational because the fraction does not need decimal numbers in the numerator or denominator.
it can be written as:
or 
notice how neither the numerator or denominators are decimals?
any number that can't be written by whole numbers in the numerator or denominator is an irrational number, things like Pi, Pi cannot be written by two whole numbers in the fraction.
50.652, is definitely rational because the fraction does not need decimal numbers in the numerator or denominator.
it can be written as:
notice how neither the numerator or denominators are decimals?
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Answer:
(a)There are 500 integers from 1 through 1,000 are multiples of 2.
There are 111 integers from 1 through 1,000 are multiples of 9.
(b)0.611
Step-by-step explanation:
Given the set of Integers from 1 through 1000
The least multiple of 2 is 2 and the highest multiple of 2 in the interval is 1000.
To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 2,4,6,... is an Arithmetic Progression,
where first term, a =2, common difference, d =2
Nth term of an A.P,
- There are 500 integers from 1 through 1,000 are multiples of 2.
Similarly,
Given the set of Integers from 1 through 1000
The least multiple of 9 is 9 and the highest multiple of 9 in the interval is 999.
To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 9,18,27,... is an Arithmetic Progression,
where first term, a =9, common difference, d =9
Nth term of an A.P,
- There are 111 integers from 1 through 1,000 are multiples of 9.
(b)Probability that an integer selected at random is a multiple of 2 or a multiple of 9.
There are a total of 1000 numbers between from 1 through 1,000
n(S)=1000
n(Multiples of 2)=500
n(Multiples of 9)=111
Therefore: