#### Study sets matching "real numbers algebra"

#### Study sets matching "real numbers algebra"

Integers

Negative (Integer) Numbers

Positive (Integer) Numbers

Whole Numbers

A set of whole numbers and their opposites.

an integer less than zero

any integer greater than zero

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Integers

A set of whole numbers and their opposites.

Negative (Integer) Numbers

an integer less than zero

terminating decimal

repeating decimal

rational number

irrational number

A decimal number that ends or terminates

A decimal that repeats a digit or group of digits forever

a number that can be expressed as a ratio (fraction) of two i…

a number that cannot be expressed as a ratio of two integers…

terminating decimal

A decimal number that ends or terminates

repeating decimal

A decimal that repeats a digit or group of digits forever

Natural numbers

Whole numbers

Integers

Rational numbers

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

The set of whole numbers and their opposites

A number that can be written as a ratio [in the form a/b with…

Natural numbers

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

Whole numbers

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Natural Numbers

Whole Numbers

Integers

Rational Numbers

Counting numbers 1,2,3,4,5...

natural numbers plus 0 so it is 0,1,2,3,4,5....

whole numbers and their opposites -5,-4, -3, -2, -1, 0, 1,2,3…

is a real number that can be written as a simple fraction (i.…

Natural Numbers

Counting numbers 1,2,3,4,5...

Whole Numbers

natural numbers plus 0 so it is 0,1,2,3,4,5....

COMMUTATIVE Property of Addition ... (com…

COMMUTATIVE Property of Multiplication…

ASSOCIATIVE Property of Addition ... (ass…

ASSOCIATIVE Property of Multiplication…

3 + 5 = 5 +3

9 x 6 = 6 x 9

4 + (6 + 3) = (4 + 6) + 3

7 x (5 x 3) = (7 x 5) x 3

COMMUTATIVE Property of Addition ... (com…

3 + 5 = 5 +3

COMMUTATIVE Property of Multiplication…

9 x 6 = 6 x 9

real R

rational Q

irrational I

integer Z

all numbers on the number line

any integer that can be expressed as ratios of two integers

numbers that cannot be expressed as terminating or repeating…

all whole numbers

real R

all numbers on the number line

rational Q

any integer that can be expressed as ratios of two integers

integer

whole

rational

irrational

whole numbers and their opposites (-2, -3, -1, 0, 1, 2, 3)

zero and up (0, 1, 2, 3, 4)

any number that can be written as a ratio (a/b, cannot =0)

cannot be written as a ratio (pi)

integer

whole numbers and their opposites (-2, -3, -1, 0, 1, 2, 3)

whole

zero and up (0, 1, 2, 3, 4)

Real numbers

Natural numbers

Integers

Rational numbers

all the numbers that can be represented on a number line

all the counting numbers such as 1, 2, 3...

all the whole numbers and their opposites, such as 1, -1, 2,…

the numbers that can be expressed in the form a/b, where a an…

Real numbers

all the numbers that can be represented on a number line

Natural numbers

all the counting numbers such as 1, 2, 3...

Integer

Irrational

Rational

Whole

Positive and negative numbers and 0 with no decimals

Any number that can't be written as a fraction

Any number that can be written as a fraction

Positive integers and zero

Integer

Positive and negative numbers and 0 with no decimals

Irrational

Any number that can't be written as a fraction

Natural numbers are

Whole numbers are

Another way to define whole numbers is

Integers are

the counting numbers 1,2,3,...

the NON negative integers 0,1,2,3,...

the counting numbers plus zero!!

whole numbers and their opposite ...-2,-1,0,1,2,...

Natural numbers are

the counting numbers 1,2,3,...

Whole numbers are

the NON negative integers 0,1,2,3,...

What is the real number symbol?

What is a real number?

What is the irrational number symbol?

What is an irrational number?

R

any number on the number line; includes decimals and integers

IRR

any real number that ... cannot be expressed as a ratio of... integ…

What is the real number symbol?

R

What is a real number?

any number on the number line; includes decimals and integers

real numbers

real number line

origin

negative numbers

the set of numbers that includes rational and irrational numb…

real numbers pictured as points on a line

The point labeled 0.

A number less than 0. On a number line, negative numbers are…

real numbers

the set of numbers that includes rational and irrational numb…

real number line

real numbers pictured as points on a line

real numbers

integers

natural numbers

whole numbers

all rational and irrational numbers

natural numbers, zero, and the negatives of natural numbers

the counting numbers

natural numbers together with zero

real numbers

all rational and irrational numbers

integers

natural numbers, zero, and the negatives of natural numbers

Integer

Irrational

Whole

Natural

All whole numbers and their opposites (negatives)

Any number that cannot be represented as a ratio (fraction)

All natural numbers and 0

All counting numbers

Integer

All whole numbers and their opposites (negatives)

Irrational

Any number that cannot be represented as a ratio (fraction)

Rational numbers

Integers

Whole numbers

Natural numbers

Any number you can write as a fraction

Positive & negative whole numbers

Positives and zero

Counting numbers, numbers that babies/toddlers know

Rational numbers

Any number you can write as a fraction

Integers

Positive & negative whole numbers

Real

Rational

Integers

Whole

Any number you've seen so far in math

Q: any number that can be written as a fraction

Z: counting numbers, positive, negative and zero

W: zero and positive counting numbers

Real

Any number you've seen so far in math

Rational

Q: any number that can be written as a fraction

Irrational (IRR)

Natural Numbers (N)

Whole Numbers (W)

Integers (Z)

non-repeating, non-terminating... example: pi, e, the square ro…

1,2,3...

0,1,2,3...

+ and - whole numbers ... example: -3,-2,-1,0,1,2,3

Irrational (IRR)

non-repeating, non-terminating... example: pi, e, the square ro…

Natural Numbers (N)

1,2,3...

addition property of equality

multiplication property of equality

cancellation property of addition

cancellation property of multiplication

adding a real number to each side of a true equation produces…

multiplying each side of a true corrasion by nonzero real num…

subtracting a real number from each side of a true equation p…

dividing is number vituperation by a nonzero number produces…

addition property of equality

adding a real number to each side of a true equation produces…

multiplication property of equality

multiplying each side of a true corrasion by nonzero real num…

Irrational Number

Rational Number

Integers

Whole Number

number with a decimal that DOES NOT repeat

number with terminating/repeating decimal

all negative numbers through positive

zero through positive numbers

Irrational Number

number with a decimal that DOES NOT repeat

Rational Number

number with terminating/repeating decimal

Integers

Negative (Integer) Numbers

Positive (Integer) Numbers

Whole Numbers

A set of whole numbers and their opposites.

an integer less than zero

any integer greater than zero

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Integers

A set of whole numbers and their opposites.

Negative (Integer) Numbers

an integer less than zero

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

a + b = b + a

ab = ba

(a + b) + c = a + (b + c)

(ab)c = a(bc)

Commutative Property of Addition

a + b = b + a

Commutative Property of Multiplication

ab = ba

rational number

irrational number

integers

whole numbers

a number that can be written as a fraction; decimals that end…

a number that can't be written as a fraction; pi; any square…

not fractions or decimals, but are negative and positive INCL…

subset of integers; includes zero; no decimals or fractions;…

rational number

a number that can be written as a fraction; decimals that end…

irrational number

a number that can't be written as a fraction; pi; any square…

COMMUTATIVE Property of Addition ... (com…

COMMUTATIVE Property of Multiplication…

ASSOCIATIVE Property of Addition ... (ass…

ASSOCIATIVE Property of Multiplication…

3 + 5 = 5 +3

9 x 6 = 6 x 9

4 + (6 + 3) = (4 + 6) + 3

7 x (5 x 3) = (7 x 5) x 3

COMMUTATIVE Property of Addition ... (com…

3 + 5 = 5 +3

COMMUTATIVE Property of Multiplication…

9 x 6 = 6 x 9

Commutative property

Associative property

Distributive property

Additive Identity

2x3 = 3x2... 2+3 = 3+2 , The order of two numbers may be switche…

(a+b) +c = a+(b+c) , Changing the grouping of numbers will NO…

a(b+c) = a(b)+a(c)

Zero added or subtracted to any number = itself... 4+0= 4 ... 4x1= 4

Commutative property

2x3 = 3x2... 2+3 = 3+2 , The order of two numbers may be switche…

Associative property

(a+b) +c = a+(b+c) , Changing the grouping of numbers will NO…

Which algebraic expression represents…

Which algebraic expression represents…

Which number is an integer?

Which of the following gives all of th…

x - 6

-8... ----... g+3

0

the set of all natural numbers, the set of all integers, and…

Which algebraic expression represents…

x - 6

Which algebraic expression represents…

-8... ----... g+3

Commutative Property

Additive and Multiplicative Identity

Multiplicative Inverse

Additive Inverse

If two terms are added or multiplied, the order is reversible.

Any term added to zero remains unchanged. The Multiplicative…

Stated that when multiplying a term by its reciprocal, the re…

States that when opposites are added, the result is always ze…

Commutative Property

If two terms are added or multiplied, the order is reversible.

Additive and Multiplicative Identity

Any term added to zero remains unchanged. The Multiplicative…

Real Numbers

Rational Numbers

Irrational Numbers

Intergers

All rational and irrational numbers

All integers written in fractions... -intergers Ex. 1/2, 7/12, 2…

Any square root that can be simplified... -non terminating, non…

Whole numbers, their opposites and zero... -Ex. -4, -3, -2, -1,…

Real Numbers

All rational and irrational numbers

Rational Numbers

All integers written in fractions... -intergers Ex. 1/2, 7/12, 2…

Integers

Natural numbers

Irrational

Whole numbers

Whole numbers and negatives ( Not negative fractions ) Ex: 1,…

Counting numbers ( 1,2,3, etc..)

Non perfect squares ( 27, 21, 3 ) a number that never stops,…

A number that is not a fraction

Integers

Whole numbers and negatives ( Not negative fractions ) Ex: 1,…

Natural numbers

Counting numbers ( 1,2,3, etc..)

Commutative Property (addition)

Associative Property (addition)

Identity Property (addition)

Additive Inverse Property

You can switch the order of the numbers... example : 3+6 = 6+3

You can switch the parenthesis... example: (1+2)+5 = 1+ (2+5)

If you add 0 to any number, the number stays the same ... exampl…

When you add a number and its inverse (opposite) the answer i…

Commutative Property (addition)

You can switch the order of the numbers... example : 3+6 = 6+3

Associative Property (addition)

You can switch the parenthesis... example: (1+2)+5 = 1+ (2+5)