Study

The Real Number System

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Question 14

Rational because this is a perfect square

Question 2

Rational because it is a perfect Square

question 1

Irrational....This is NOT a repeating decimal

True

Question 13

Irrational because this is a NON-perfect square

Whole Number

Question 3

Rational because it is a repeating decimal

Rational Number

Integer

Question 7

Rational because it is a fraction

Natural Number

Question 18

Rational ....integers are rational

Question 11

rational

Question 10

Rational because this is a PERFECT SQUARE

Name the set {1,2,3,4,5....}

Counting Numbers or Natural Numbers

Question 9

Irrational because we are adding NON-perfect squares

Question 16

Rational because this is a repeating decimals

True or False....a number can be both Rational and Irrational

False...these are disjoint sets

Name the set {...-3,-2,-1,0,1,2,3....}

Integers

Question 19

Rational because it is a terminating decimal

Question 6

Rational because it is a repeating decimal

True or False...Counting numbers are Rational

True

Question 8

Rational because it is a terminating decimal

True or False....Rational numbers and Irrational numbers make up the set of The Real numbers

True

Question 4

Rational because it is a terminating decimal

Question 21

Rational because it is a PERFECT CUBE

Name the set {0,1,2,3,4.....}

Whole numbers

Question 17

Irrational because this is a NON-perfect square

Question 20

Irrational

Irrational Number

What numbers are not in the set of the Reals?

Imaginary numbers....You will learn about these numbers in high school!

Question 12

Rational, fractions are rational

Question 23

Rational because it is a perfect cube

Question 15

Rational because this is a repeating decimal

Question 5

Irrational

Question 22

Irrational because this is a NON-perfect cube