Estimating Square Roots, Rational and Irrational Numbers Vocabulary, The Real Number System, The Real Number System, Repeating Decimals as Fractions, Ordering and Comparing Rational Numbers, Classifying Real Numbers, Classifying numbers
Between 3 and 4. Closer to 3
√10
Between 11 and 12. Closer to 11
√125
Between 11 and 12. Closer to 12
√140
Between 3 and 4. Closer to 4
√15
Between 12 and 13. Closer to 12
√150
Between 12 and 13. Closer to 13
√165
Between 4 and 5. Closer to 4
√18
Between 1 and 2. Closer to 1
√2
Between 14 and 15. Closer to 14
√200
Between 14 and 15. Closer to 15
√220
Between 4 and 5. Closer to 5
√24
Between 5 and 6. Closer to 5
√27
Between 1 and 2. Closer to 2
√3
Between 5 and 6. Closer to 6
√35
Between 6 and 7. Closer to 6
√38
Between 6 and 7. Closer to 7
√48
Between 2 and 3. Closer to 2
√5
Between 7 and 8. Closer to 7
√50
Between 7 and 8. Closer to 8
√60
Between 8 and 9. Closer to 8
√65
Between 2 and 3. Closer to 3
√8
Between 8 and 9. Closer to 9
√80
Between 9 and 10. Closer to 9
√85
Between 9 and 10. Closer to 10
√99
0.333333333
1/3
0.111111111
1/9
1/12, 0.08, 1/20, 0.03
Order the numbers from greatest to least. 0.08, 1/12, 0.03, 1/20
0.1818181818
2/11
0.22222222
2/9
0.3636363636
4/11
0.44444444
4/9
0.4545454545
5/11
0.2424242424
8/33
repeating decimal
A decimal in which the same block of digits repeats without end.
Perfect Square
A number that can be expressed by multiplying a number times itself (squaring a counting number)
Rational number
A number that can be written as a fraction
Irrational number
A number whose decimal form is nonterminating and nonrepeating. Irrational numbers can't be expressed as fractions.
Non-Terminating Decimals
A number with a decimal that does not end/stop (3.1415...)
Perfect Square
A number with a square root that is a rational number.
perfect cube
A rational number whose cube root is a whole number.
perfect square
A rational number whose square root is a whole number
Real numbers
All rational and irrational numbers
-1.01, -0.9, -0.3, 2.91, 3
Order the numbers from least to greatest. -0.3, 3, 2.91, -0.9, -1.01
84/9, 7.25, 46/7, 6 1/4, -5.58, -6 1/2
Order these numbers from greatest to least. -6 1/2, 7.25, 46/7, 6 1/4, -5.58, 84/9
Fractions
Consist of two numbers separated by a bar which indicates division: the numerator is above the bar and the denominator is below the bar
-2345
Integer, Rational, Real
-30
Integer, Rational, Real
-54/9
Integer, Rational, Real
-93/3
Integer, Rational, Real
12.569843681549...
Irrational & Real
π
Irrational & Real
√15
Irrational & Real
√7
Irrational & Real
0.16, 0.10, 0.07, -1.43, -2.65
List the numbers from greatest to least. 0.10, -2.65, 0.16, -1.43, 0.07
-2.65, -1.43, 0.07, 0.10, 0.16
List the numbers from least to greatest. 0.10, -2.65, 0.16, -1.43, 0.07
Whole Numbers
Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
17
Natural, Whole, Integer, Rational Real
42/6
Natural, Whole, Integer, Rational, Real
5
Natural, Whole, Integer, Rational, Real
√81
Natural, Whole, Integer, Rational, Real
√9
Natural, Whole, Integer, Rational, Real
square root
One of the two equal factors of a number
cube root
One of three equal factors of a number.
-0.650 , -3/7 , -2/9 , -0.200
Order from Least to Greatest: -0.650, -3/7, -2/9, -0.200
-3/4 , -1/2 , -1/10
Order from Least to Greatest: -1/2, -3/4, -1/10
-250, -200, -150, 0, 50, 200
Order from Least to Greatest: -150, -200, 50, 0, 200, -250
-7/8 , -0.6 , -0.5 , -4/9 ,-2/5 , -0.35
Order from Least to Greatest: -2/5, -4/9, -0.5, -7/8, -0.35, -0.6
0.1, 0.5, 1.6, 2.3, 3.2
Order from Least to Greatest: 0.5, 2.3, 3.2, 1.6, 0.1
3, 2.91, -0.3, -0.9, -1.01
Order the numbers from greatest to least. -0.3, 3, 2.91, -0.9, -1.01
-6 1/2, -5.58, 6 1/4, 46/7, 7.25, 84/9
Order these numbers from least to greatest. -6 1/2, 7.25, 46/7, 6 1/4, -5.58, 84/9
-2/3
Rational & Real
-43.76
Rational & Real
0.333...
Rational & Real
23.9
Rational & Real
32.343434343...
Rational & Real
1/2
Real, Rational
-12/2
Real, Rational, Integer
0
Real, Rational, Integer, Whole
5
Real, Rational, Integer, Whole, Natural
radical symbol
Square root symbol
Radicand
The expression under the radical sign
Negative Integers
The integers that are less than zero. They are the opposites of the positive integers.
Positive Integers
The positive integers are the numbers used to count. They are the numbers {1, 2, 3, 4, 5,...}. They are also called the counting numbers.
principal square root
The positive square root of a number, indicated by the radical sign
Natural Numbers
The set of numbers 1, 2, 3, 4, ... Also called counting numbers.
Integers
The set of whole numbers and their opposites
-2.23, -2 2/5, and -0.95
Which numbers from this list are less than -0.94? -15/16, 0.24, -2.23, 97%, -2 2/5, -0.95
Each number is greater than 0.5.
Which statement is true about the following numbers: 0.4, 20/100, 4/9, 0.04? Each number is less than 0.5. OR Each number is greater than 0.65.
Each number is greater than 0.5.
Which statement is true about the following numbers: 0.8, 60/100, 5/9, 0.57? Each number is less than 0.65. OR Each number is greater than 0.5.
0
Whole, Integer, Rational, Real
repeating decimal
a decimal number that has digits that repeat forever
repeating decimal
a decimal that does not have a definite end to it (The place value of the last digit in the number cannot be found.)
non-repeating decimal
a decimal that does not have digits that repeat forever
Terminating Decimal
a decimal that ends, or terminates
non-terminating decimal
a decimal that goes on forever and ever
terminating decimal
a decimal that has a definite end to it (The place value of the last digit in the number can be found.)
Non-terminating Decimal
a decimal that is continuous and never ends
Irrational Numbers
a decimal that never ends and never repeats
Repeating Decimal
a decimal with a digit(s) that repeat in a pattern
rational number
a number that can be made by dividing two integers
Rational Number
a number that can be written as a fraction
irrational number
a number that cannot be expressed as a terminating decimal, repeating decimal, or as a fractional equivalent
Non-perfect Square
a number that cannot be expressed by multiplying a number times itself
irrational number
a number that cannot be written as a ratio of integers
Non-Perfect square
a number that does not have a whole-number square root. irrational number
Square Root
a number that produces a specified quantity when multiplied by itself
perfect square
a number that result from multiplying an integer by itself
Square Root
a number that when multiplied by itself equals a given number
square root
a number that when multiplied to itself results in a specified number. The square root of 25 is 5, since 5x5=25 (25 is the specified number)
real number
all rational and irrational numbers
Positive Integers
any integer greater than zero
Negative Integers
any integer less than zero
Natural Numbers
counting numbers
Whole Numbers
counting numbers and zero
terminating decimal
decimal number that has digits that do not go on forever
Terminating Decimals
decimals that end.
Fraction
expressed with a numerator and a denominator, numerator divided by denominator
equivalent
having the same value
Real Number
the set of rational and irrational numbers
estimate
to find a value that is close enough to the right answer, usually with some thought or calculation involved
Integers
whole numbers and their opposites
Integers
{...-3,-2,-1,0,1,2,3...}
Whole Numbers
{0,1,2,3,4...}
Natural Numbers
{1,2,3,4...}