Unit 2 Review Turner

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Rational or Irrational?

Rational: this is a repeating decimal.

Rational or Irrational?

Rational; 144 is a perfect square so its square root is an integer.

Rational or Irrational?

Rational; 18 is an integer.

Rational or Irrational?

Rational; a mixed number can be rewritten as a ratio of two integers (-15/2).

Between 4 and 5

What two whole numbers is ³√100 between?

Between 2 and 3

What two whole numbers is ³√20 between?

Write an equivalent fraction for 0.2

2/10 = 1/5

Write an equivalent fraction for 0.222

2/9

Write an equivalent fraction for 0.25

25/100 = 1/4

Write an equivalent fraction for 0.025025025...

25/999

Write an equivalent fraction for 0.333...

3/9 = 1/3

4.8

Estimate the approximate value for √23

2.4

Estimate the approximate value for √6

9.2

Estimate the approximate value for √85

9.8

Estimate the approximate value for √97

1

³√1

10

³√1000

5

³√125

3

³√27

4

³√64

9

³√729

2

³√8

*1/11*

*0.0909...*

Write an equivalent fraction for 0.353535...

35/99

Write an equivalent fraction for 0.375

375/1000 = 3/8

10.2

Estimate the approximate value for √105

perfect square

a whole number multiplied by itself

1

√1

Between 5 and 6

What two whole numbers is ³√200 between?

Between 6 and 7

What two whole numbers is ³√300 between?

Between 1 and 2

What two whole numbers is ³√4 between?

Between 7 and 8

What two whole numbers is ³√400 between?

Between 3 and 4

What two whole numbers is ³√50 between?

Between 8 and 9

What two whole numbers is ³√600 between?

Between 9 and 10

What two whole numbers is ³√800 between?

Between 10 and 11

What two whole numbers is √110 between?

Between 11 and 12

What two whole numbers is √139 between?

Between 3 and 4

What two whole numbers is √14 between?

Between 12 and 13

What two whole numbers is √162 between?

Between 13 and 14

What two whole numbers is √183 between?

Between 4 and 5

What two whole numbers is √19 between?

Between 1 and 2

What two whole numbers is √2 between?

Between 14 and 15

What two whole numbers is √201 between?

Between 5 and 6

What two whole numbers is √30 between?

Between 6 and 7

What two whole numbers is √48 between?

Between 2 and 3

What two whole numbers is √6 between?

Between 7 and 8

What two whole numbers is √60 between?

Between 8 and 9

What two whole numbers is √70 between?

Between 9 and 10

What two whole numbers is √99 between?

irrational number

a number that can NOT be expressed as a ratio of two integers or as a repeating or terminating decimal - Pi or any square root of an imperfect square are considered irrational

rational number

a number that can be written as a ration in the form a/b, where a and b are integers

real number

all rational and irrational numbers

square root

one of the two equal factors of a number. "What number multiplied by itself gives me this number?"

6

³√216

7

³√343

8

³√512

10

√100

11

√121

12

√144

4

√16

13

√169

14

√196

15

√225

5

√25

6

√36

2

√4

7

√49

8

√64

9

√81

3

√9

Write an equivalent fraction for 0.111

1/9

Write an equivalent fraction for 0.125125125...

125/999

Write an equivalent fraction for 0.15

15/100 = 3/20

Write an equivalent fraction for 0.5

5/10 = 1/2

Write an equivalent fraction for 0.555

5/9

Write an equivalent fraction for 0.6

6/10 = 3/5

Write an equivalent fraction for 0.666...

6/9 = 2/3

Write an equivalent fraction for 0.625

625/1000 = 5/8

Write an equivalent fraction for 0.727272...

72/99 = 8/11

Write an equivalent fraction for 0.75

75/100 = 3/4

Write an equivalent fraction for 0.8

8/10 = 4/5

Write an equivalent fraction for 0.858585....

85/99

Write an equivalent fraction for 0.875

875/1000 = 7/8

Write an equivalent fraction for 0.090909...

9/99 = 1/11

ratio

A comparison of two quantities by division

terminating decimal

A decimal number that ends or terminates, has a finite number of digits.

What is a "non-repeating" decimal

A decimal which continues forever without a repeating pattern.

What is a "repeating" decimal.

A never-ending decimal which continues to repeat the same pattern.

repeating decimal

A number that has a block of one or more digits that repeat indefinitely

rational number

A number that has a repeating or terminating decimal

irrational number

A number whose decimal digits go on forever without a fixed pattern

square root

A number, when multiplied by itself, gives you the original number

perfect square

A rational number whose square root is an integer

What is a "terminating" decimal?

Any decimal which ends or "terminates"

10.9

Estimate the approximate value for √118

13.2

Estimate the approximate value for √175

4.2

Estimate the approximate value for √18

13.8

Estimate the approximate value for √190

6.5

Estimate the approximate value for √42

7.1

Estimate the approximate value for √51

7.9

Estimate the approximate value for √62

Rational or Irrational?

Irrational; 160 is not a perfect square so its root is irrational.

Rational or Irrational?

Irrational; 17 is not a perfect square so its root is irrational.

Rational or Irrational?

Irrational; 24 is not a perfect cube so its cube root is irrational.

Rational or Irrational?

Irrational; 99 is not a perfect square so its root is irrational.

Rational or Irrational?

Irrational; pi does not terminate or repeat.

Rational or Irrational?

Irrational; this decimal does not terminate or repeat.

Rational or Irrational?

Irrational; this is a decimal that does not terminate or repeat.

Rational or Irrational?

Rational; 125 is a perfect cube, so its cube root is an integer.

Rational or Irrational?

Rational; 625 is a perfect square so its root is an integer.

Rational or Irrational?

Rational; a mixed number can be rewritten as a ratio of two integers (15/4).

Rational or Irrational?

Rational; if you simplify, this is (5/2) five divided by two, which is a ratio of two integers.

Rational or Irrational?

Rational; it's a ratio of two integers.

Rational or Irrational?

Rational; this is a ratio of two integers.

Rational or Irrational?

Rational; this is a repeating decimal.

Rational or Irrational?

Rational; this is a terminating decimal.

Rational or Irrational?

Rational; this is an integer.

radical symbol

Square root symbol

64

The cube of 4

4

The cube root of 64

cube root of the volume

The length of a cube's side

square root of the area

The length of a square's side

16

The square of 4

2

The square root of 4

radical

The symbol used to indicate the square root of a number

(side length)^3

The volume of a cube

*1/10*

*0.1*

*1/9*

*0.1111...*

*1/8*

*0.125*

*3/20*

*0.15*

*2/9*

*0.2222...*

*1/4*

*0.25*

*3/10*

*0.3*

*1/3*

*0.3333...*

*3/8*

*0.375*

*2/5*

*0.4*

*4/9*

*0.4444...*

*8/9*

*0.8888...*

*9/10*

*0.9*

*5/4*

*1.25*

*4/3*

*1.3333...*

*3/2*

*1.5*

*1/2*

*0.5*

*5/9*

*0.5555...*

*3/5*

*0.6*

*5/8*

*0.625*

*2/3*

*0.6666...*

*7/10*

*0.7*

*3/4*

*0.75*

*7/9*

*0.7777...*

*4/5*

*0.8*

*7/8*

*0.875*


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