How can we help?

You can also find more resources in our Help Center.

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...

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

Integers

Negative (Integer) Numbers

Positive (Integer) Numbers

Natural Numbers

(Z) positive whole numbers, negative whole numbers and zero

(Z+) an integer less than zero

(Z-) any integer greater than zero

(N) positive whole numbers ( counting numbers)

Integers

(Z) positive whole numbers, negative whole numbers and zero

Negative (Integer) Numbers

(Z+) an integer less than zero

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,...

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

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

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

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

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…

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

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

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…

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…

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

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)

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

Substitution Property

Symmetric Property

Reflexive Property

a+b=b+a... ab=ba

If a=b, then can be replaced by b and vice versa.

If a=b then b=a

a=a

Commutative Property

a+b=b+a... ab=ba

Substitution Property

If a=b, then can be replaced by b and vice versa.

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…

commutative property

additive and multiplicative property o…

multiplicative inverse

additive inverse

addition: a+b=b+a multiplication:(a)(b)=(b)(a)

addition: a+0=a multiplication:(a)(1)=a

(a/b)(b/a)=1

a+(-a)=0

commutative property

addition: a+b=b+a multiplication:(a)(b)=(b)(a)

additive and multiplicative property o…

addition: a+0=a multiplication:(a)(1)=a

commutative property

additive and multiplicative property o…

multiplicative inverse

additive inverse

addition: a+b=b+a multiplication:(a)(b)=(b)(a)

addition: a+0=a multiplication:(a)(1)=a

(a/b)(b/a)=1

a+(-a)=0

commutative property

addition: a+b=b+a multiplication:(a)(b)=(b)(a)

additive and multiplicative property o…

addition: a+0=a multiplication:(a)(1)=a

Commutative property of addition.

Commutative property of multiplication

Associative Property of addition

Associative property of multiplication.

A+B= B+A

A**B=B**A

(6+7)+8=6+(7+8)

(8**9)**7=8(9*7)

Commutative property of addition.

A+B= B+A

Commutative property of multiplication

A**B=B**A

Commutative Property

Symmetric Property

Substitution Property

Reflexive Property

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

If two terms are equal, it doesn't matter which is stated fir…

You can replace one expression with another that is equal to…

A term is always equal to itself a=a

Commutative Property

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

Symmetric Property

If two terms are equal, it doesn't matter which is stated fir…

Whole Number

Integers

Positive Integers

Negative Integers

The numbers 0,1,2,3,4,......

The numbers..., -3, -2, -1, 0, 1, 2, 3,...., consisting of th…

The integers that are greater than 0.

The integers that are less than 0.

Whole Number

The numbers 0,1,2,3,4,......

Integers

The numbers..., -3, -2, -1, 0, 1, 2, 3,...., consisting of th…

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

a + b = b + a... 2 + 3 = 3 + 2

a x b = b x a... 2 x 3 = 3 x 2

(a + b) + c = a + (b + c)... (2 + 3) + 4 = 2 + (3 + 4)

(a x b) x c = a x (b x c)... (2 x 3) x 4 = 2 x (3 x 4)

commutative property of addition

a + b = b + a... 2 + 3 = 3 + 2

commutative property of multiplication

a x b = b x a... 2 x 3 = 3 x 2

Distributive Property

Commutative Property

Associative Property

Identity Property

Purpose is to get rid of parentheses

-Only applies to addition and multiplication ... -Order doesn't…

-Only applies to addition and multiplication... -The manner in w…

What you start with you end up with

Distributive Property

Purpose is to get rid of parentheses

Commutative Property

-Only applies to addition and multiplication ... -Order doesn't…

Irrational Numbers

Rational numbers

Irrational numbers

Rational numbers

Numbers in which the decimal form never terminates and does n…

Numbers in which the decimal form either terminate or repeats…

The letter I

The letter Q

Irrational Numbers

Numbers in which the decimal form never terminates and does n…

Rational numbers

Numbers in which the decimal form either terminate or repeats…

Natural Numbers

Whole Numbers

Intergers

Rational

Numbers that are whole and don't include zero (1,2,3)

Numbers that are whole and include zero (0,1,2,3)

Numbers that are whole and include zero and negative numbers…

Numbers/decimals that end, also have repeating numbers. (-1/2…

Natural Numbers

Numbers that are whole and don't include zero (1,2,3)

Whole Numbers

Numbers that are whole and include zero (0,1,2,3)

Natural/Counting Numbers

Whole numbers

Integers

Rational

All read numbers that have all positive integers and does not…

A real number that includes zero and has all positive integer…

A real number that only has the value of zero and its decimal…

A real number that can be written as a fraction... In a decimal…

Natural/Counting Numbers

All read numbers that have all positive integers and does not…

Whole numbers

A real number that includes zero and has all positive integer…

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

Question 1: Evaluate if x = 13.2 and y…

Question 2: Evaluate if x = -14.6 and…

Question 3: What is the missing reason…

Question 4: Simplify.... -15 - (-3) + 4

Answer: -4.6

Answer: 12.1

Answer: Additive Identity Property

Answer: -8

Question 1: Evaluate if x = 13.2 and y…

Answer: -4.6

Question 2: Evaluate if x = -14.6 and…

Answer: 12.1