Question

Assignment: Equivalent Rational Numbers I Investigation Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number he must prove it is rational by writing it as a quotient of two integers. Help him determine how to prove that each of the following numbers is rational. 1. 2.4 2. 74 3. 17.3333333… 4. π 5. 6. –18 7. 8. 87.125 9. –30 10. –8.3 11. 58.25 12. 121 13. 4.5 14.

Answer 1

yes

Explanation:

Answer 2

All whole numbers ( also negative integers like -30) are rational because they can be converted to a fraction ( like -30/1).

Numbers with a finite number of decimals ( like 58.25 and -8.3 ) are also rational as they can e converted to a fraction (58 .25 = 58 1/4 or 233/4)

Numbers with repeating decimals ( for example 17.3333333..) are also rational - this number can be written as 17 1/3 or 52/3.

π is irrational as it cant be written as a fraction The decimal form continues without bounds.