Classify the number as rational or irrational.

select rational or irrational for each number.

0.5
24−−√
3.42859873
0100

0.5 = Rational number,

√24 = Irrational number,

3.42859873 = Rational number,

0100 = Rational number

Step-by-step explanation:

Rational number is a real number that can be expressed as ,

Where, both p and q are integers and q ≠ 0,

Otherwise the number is called irrational number.

(i) Since, 0.5 = 5/10,

Where, both  5 and 10 are integers,

And, q ≠ 0,

So, 0.5 is a rational number.

(ii) Since, √24 = √(6×4) = 2√6

But, √6 is irrational number and 2 is rational number,

We know that the product of irrational number and rational number is also irrational number,

⇒ √24 is an irrational number.

(iii)

Where, both 342859873 and 100000000 are integers,

And, 100000000 ≠ 0,

So, 3.42859873 is a rational number.

(iv) 100 is an integer,

An integer is always a rational number,

⇒ 100 is a rational number.

21/58.

hope to be marked brainliest

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: