C955 Study Guide Questions with 100% Correct
Answers
Whole Number
numbers that can be represented without being a fraction or decimal
ex:
0,1,2,3,4,5,6,7,8,9
Integers
Numbers that do not contain fraction or decimal components they can positive, negative or
zero
Rational numbers
Numbers that can be expressed as a fraction or decimal that have expansions that end or
continue
ex:
-3/101 , -0.02970297
Real numbers
Any number that can be placed on the number line ( + or -)
includes decimals that dont end and do not repeat but cant be written as a fraction
ex:
pi( 3.14)
Set
a collection of numbers in mathematics
Data
,collection of numbers in statistics
Discrete
values are distinct , separate, and unconnected
ex:
numbers of adults in the house
results of rolling two dice
numbers of machines in operation
Continuous
Value within a set that is connected without gaps
ex:
temp, distance, and time
Interval
set of numbers between two specified values
greater than or less than symbols
> = greater than
< = less than
Commutative
The order in which the number appear in the sum can be reversed
(subtraction is not commutative)
(addition and multiplication is)
ex:
3 + 2= 2 + 3
Identity property
, adding 0 to any number does not change the original number
Additive inverses
values that are equally far from 0 on opposite sides of the number line
ex:
-3 and 3
Addition of negative numbers
adding negative and positive makes it become subtraction
ex:
5 + (-6) to 5 - 6= -1
Subtraction of negative numbers
Subtraction becomes an addition problem
ex:
3 - -2 to 3 + 2
Multiplying with negative integers
Multiplying a positive number by a negative number the product will always be negative
ex:
3 x -2= -6
5 x -11= -55
Multiplying a negative with a negative
Multiplying a negative and negative will give a positive sum
ex:
-5 x -3 = 15
-12 x -4= 48
Answers
Whole Number
numbers that can be represented without being a fraction or decimal
ex:
0,1,2,3,4,5,6,7,8,9
Integers
Numbers that do not contain fraction or decimal components they can positive, negative or
zero
Rational numbers
Numbers that can be expressed as a fraction or decimal that have expansions that end or
continue
ex:
-3/101 , -0.02970297
Real numbers
Any number that can be placed on the number line ( + or -)
includes decimals that dont end and do not repeat but cant be written as a fraction
ex:
pi( 3.14)
Set
a collection of numbers in mathematics
Data
,collection of numbers in statistics
Discrete
values are distinct , separate, and unconnected
ex:
numbers of adults in the house
results of rolling two dice
numbers of machines in operation
Continuous
Value within a set that is connected without gaps
ex:
temp, distance, and time
Interval
set of numbers between two specified values
greater than or less than symbols
> = greater than
< = less than
Commutative
The order in which the number appear in the sum can be reversed
(subtraction is not commutative)
(addition and multiplication is)
ex:
3 + 2= 2 + 3
Identity property
, adding 0 to any number does not change the original number
Additive inverses
values that are equally far from 0 on opposite sides of the number line
ex:
-3 and 3
Addition of negative numbers
adding negative and positive makes it become subtraction
ex:
5 + (-6) to 5 - 6= -1
Subtraction of negative numbers
Subtraction becomes an addition problem
ex:
3 - -2 to 3 + 2
Multiplying with negative integers
Multiplying a positive number by a negative number the product will always be negative
ex:
3 x -2= -6
5 x -11= -55
Multiplying a negative with a negative
Multiplying a negative and negative will give a positive sum
ex:
-5 x -3 = 15
-12 x -4= 48
