Six members of the math club are forming two teams for a contest. The teams will be determined by having each student draw a number.
PART A: The table shows the results of the draw. The students who drew rational numbers will form the team called the Tigers. The students who drew irrational numbers will form the team called the Lions. List the members of each team.
Please answer fast
Answers
Answer:
The Tigers - Caleb, Marcy, & Anya
The Lions - Ryan, Chan, & Lydia
Step-by-step explanation:
Caleb has the number square root of 36, which is rational because the square root of 36 is 6, making it a perfect square & a rational number.
Marcy has 6.34 repeating, and all repeating decimals are rational; same with Anya.
Ryan has the number 6.343443444... , which is irrational because it's a non-terminating & a non-repeating number.
Chan has the number square root of 34, which is irrational because it's not a perfect square; same with Lydia.
Given: A table which shows the results of the draw.
The students who drew rational numbers will form the team the Tigers.
The students who drew irrational numbers will form the team the Lions.
To find: The members of each team
Solution: Lydia draws √38 which is an irrational number since its decimal value is non-terminating and has no repeated pattern in its decimal part.
Marcy draws 6.34 repeating which is a rational number as all repeating decimals are rational.
Caleb draws √36 which is equal to 6, which is a rational number.
Ryan draws 6.343443444... which is irrational since it is non-terminating and has no repeated pattern in its decimal part.
Anya draws 6.34 which is a rational number as all repeating decimals are rational.
Chan draws √34 which is irrational since its decimal value is non-terminating and has no repeated pattern in its decimal part.
Therefore, Marcy, Caleb and Anya draw rational numbers and form the team the Tigers.
Lydia, Ryan and Chan draw irrational numbers and form the team the Lions.
∴ The Tigers - Marcy, Caleb and Anya
The Lions - Lydia, Ryan and Chan