Unit 2 Review Turner
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*
