THE REAL NUMBER SYSTEM/ORDERING NUMBERS AND SQUARE ROOTS SOL REV

THE REAL NUMBER SYSTEM AND COMPARING/ ORDERING NUMBERS

By Mariah Brown

Directions: Following along with the video provided, take notes with illustration for the categories of the real-number system.

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VIDEO NOTES: Understanding the Categories of The Real Number System

Number System

Multiple Select

Identify all of the true statements.

• An irrational plus a rational number is irrational.

• The sum of two rational numbers is a rational number.

• The product two rational numbers is an irrational number.

• The sum of two irrational numbers is irrational.

Multiple Choice

Classify the Number: -23

• Rational
• rational, integer
• integer
• rational, whole

Multiple Select

Explain the error(s). Select all

• -1.2 isn't an integer.

• 3.4 isn't a rational number.

• -2 isn't a whole number

• The numbers are graphed correctly.

• 3 is not a whole number

Multiple Choice

Which of the following describes the set of rational numbers?

• Rational number is the set of all numbers that can be expressed in the form a/b; a and b are integers and b is not equal to 0.

• Rational number is the set of all numbers that can be expressed in the form a/b; a and b are integers and b is equal to 0.

• Rational number is the set of all numbers that can be expressed in the form of a fraction; The denominator can be equal to 0.

• Rational numbers is a set of all negative and positive integers.

Multiple Choice

hint: WHENEVER YOU SEE PI WHAT IS THE ANSWER??

• A

• B

• C

• D

Multiple Select

SELECT ALL THAT APPLY!!! HINT: PUT IT INSIDE OF DESMOS !!!!!!!!

• RATIONAL

• IRRATIONAL

• INTEGER

• WHOLE

• NATURAL

Multiple Select

Which statements are true?

• 0 is a natural number

• -9 is an integer and a rational number

• √400 is a whole

• π is a rational number

• -6.0 is an integer

Multiple Choice

Is the number. 0.64646464... rational or irrational?

• Irrational because it is nonterminating.

• Rational because it is repeating.

• Irrational because it is an imperfect square.

• Rational because it terminates.

Multiple Choice

The number 9, classifies as all of the following groups except which one?

• Natural

• Whole

• Irrational

• Real

Multiple Choice

5. Which of the following statements is false regarding The Real Number System and subsets? 

• An irrational number can also be a real number.

• A whole number is also an integer.

• A negative decimal can still be considered an integer.

• A radical (square root) is always an irrational number.

Multiple Choice

1. In which section of the diagram does the number -⁶/₃ belong?

• Rational Numbers

• Counting Numbers

• Whole Numbers

• Integers

Multiple Select

Select all numbers that are between $$4.37\times10^{-2\ }and\ 2.9$$

• $$\frac{1}{20}$$

• $$3\%$$

• $$3.7\times10^{-3}$$

• $$\sqrt[]{8}$$

• $$3$$

Multiple Choice

List the following in descending order.

• 19/20, 19%, 0.192

• 0.192, 19%, 19/20

• 19/20, 0.192, 19%

• 19%, 0.192, 19/20

Multiple Select

Select all numbers that are in between $$\frac{10}{3}\ and\ \sqrt[]{27}$$

• $$5\ \frac{1}{5}$$

• $$475\%$$

• $$3.3\times10^0$$

• $$\sqrt[]{15}$$

• $$5.1$$

Multiple Choice

Which list of values is ordered from GREATEST to LEAST?

• $$0.27,\ \frac{4}{11},\ \frac{1}{5},\ 25\%$$

• $$0.27,\ 25\%,\ \frac{4}{11},\ \frac{1}{5}$$

• $$\frac{4}{11},\ 0.27,\ \frac{1}{5},\ 25\%$$

• $$\frac{4}{11},\ 0.27,\ 25\%,\ \frac{1}{5}$$

Reorder

Reorder in Ascending Order

• $$-4\times10^3$$

• $$1.\overline{7}$$

• $$\sqrt[]{7}$$

• $$\frac{31}{4}$$

1

2

3

4

• 1
• 2
• 3
• 4

Multiple Select

1. Select all that are greater than 43%.

• 35.8%

• 1.8

• 3/5

• -0.6

• 2.8 x 10⁵

Multiple Choice

Which value could be represented by point D?

• $$\sqrt[]{144}$$  

• $$\sqrt[]{130}$$  

• $$\sqrt[]{146}$$  

• $$\sqrt[]{163}$$  

Multiple Choice

$$\sqrt[]{124}$$ is closest to which integer?

• 11

• 10

• 12

• 16

Multiple Choice

• F

• G

• H

• J

Multiple Choice

• 6

• 7

Multiple Choice

Level 3: Estimate the square root.

• Between 5 and 6 and closer to 5

• Between 5 and 6 and closer to 6

• Between -4 and -5 and closer to -5

• Between -5 and -6 and closer to -6

Multiple Choice

Which  irrational number falls between 14 and 15 on a number line?

• $$\sqrt[]{140}$$

• $$\sqrt[]{150}$$

• $$\ \sqrt[]{190}$$

• $$\sqrt[]{220}$$

Multiple Choice

Which point best represents ? $$\sqrt[]{62}$$

• A

• D

• E

• F

Multiple Choice

Which point best represents √47?

• C

• A

• D

• B

Multiple Choice

Between which two square roots does the √51 fall?

• √16 and √25

• √25 and √36

• √36 and √49

• √49 and √64