Real Number Systems Study Guide

Real Number Systems Study Guide

​Evaluate Perfect Squares

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Multiple Choice

Evaluate 2 $$\sqrt[]{49}$$  

• 7

• 14

• 9

• 51

Multiple Choice

Evaluate - $$\sqrt[]{100}$$  

• 10

• 1

• -10

• -1

Multiple Choice

Evaluate 10 +  $$\sqrt[]{169}$$  

• 23

• 179

• 3

• 230

Multiple Choice

Square Pool has area of 144 square feet, what is the length of the side of the pool?

• 144

• 100

• 44

• 12

​Represent Rational Numbers and Decimals and Fractions

• ​

Multiple Choice

7/16, is it repeating or terminating

• 0.4375 ; repeating

• 0.4375; terminating

• cant be done

Multiple Choice

7/3 - repeating or terminating decimal?

• 2.33333333333...;

  terminating

• 2.333333333333...; repeating

Multiple Choice

what is 0.125 as a fraction?

• 1/8

• 8/1

• 12/5

Multiple Choice

Express 0.55555555555 as a fraction

• 5/10

• 5/9

• 1/2

Multiple Choice

- $$\sqrt[]{121}$$  rational or irrational and why

• rational; a perfect square

• irrational; non perfect square

Multiple Choice

$$\sqrt[]{70}$$  rational or irrational and why

• rational; perfect square

• irrational; non perfect square

Multiple Choice

0.72727272727272727272 - rational or irrational and why

• rational; repeating decimal

• irrational; goes on forever

Multiple Choice

Which number is irrational number

• 6.825

• 4/3

• 3 $$\pi$$  

• 0.77777777777

Multiple Choice

Is -18/3 an integer?

• yes; it is -6

• no; it is negative

• no; its a fraction

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

what group does 0 start in

• natural

• whole

• integer

• rational

Multiple Choice

What group does  $$\sqrt[]{3}$$  start in

• rational

• irrational

• whole

• integer

Multiple Choice

what group does 8/5 start in

• rational

• irrational

• whole

• integer

Multiple Choice

What group does -14/7 start in

• natural

• rational

• irrational

• whole

Multiple Choice

$$\sqrt[]{25}$$  what group does it start in

• integers

• whole

• natural

• irrational

​Approximate Non-Perfect Squares

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Multiple Choice

Between what two whole numbers does  $$\sqrt[]{150}$$  lie?

• 12 and 13

• 149 and 151

• 3 and 4

• 13 and 14

Multiple Choice

• A

• B

Multiple Choice

• A

• B

• C

Multiple Choice

• A

• B

• C

Multiple Choice

• A

• B

• C

​Comparing Size of Numbers

​

Multiple Choice

• 13.09

• 13 1/5

• $$\sqrt[]{169}$$  

• 13.1

Multiple Choice

$$\sqrt[]{95}$$   ____ 9.2

• >

• <

Multiple Choice

Place the values in order from greatest to least

$$3\pi\ \ \ \ \ \ \ 4\sqrt[]{5}\ \ \ \ \ 5\sqrt[]{4}$$  

• $$4\sqrt[]{5}\ \ \ \ \ \ \ \ \ 3\pi\ \ \ \ \ \ \ \ \ \ 5\sqrt[]{4}$$  

• $$3\pi\ \ \ \ \ \ \ 4\sqrt[]{5}\ \ \ \ \ \ \ \ \ 5\sqrt[]{4}$$  

• $$5\sqrt[]{4}\ \ \ \ \ \ \ \ \ 4\sqrt[]{3}\ \ \ \ \ \ \ \ 3\pi$$