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inverse property of addition

commutative property of addition

associative property of addition

identity property of addition

the sum of a number and its opposite is 0

the ORDER of the addends (numbers being added together) does…

the grouping of addends using parenthesis doesn't affect thei…

the sum of any number and zero is the original number

inverse property of addition

the sum of a number and its opposite is 0

commutative property of addition

the ORDER of the addends (numbers being added together) does…

bar notation

common denominator

least common denominator

like fractions

In repeating decimals, the line or bar placed over the digits…

A denominator that is the same in two or more fractions.

The least common multiple of the denominators of two or more…

fractions with the same denominator

bar notation

In repeating decimals, the line or bar placed over the digits…

common denominator

A denominator that is the same in two or more fractions.

whole numbers

fractions

decimals

integers

Whole numbers are zero and the counting numbers 1, 2, 3, 4, 5…

A fraction is any number that can be written in the form A/B…

a number that uses place value and decimal points to show val…

All whole numbers (both positive and negative) and zero.

whole numbers

Whole numbers are zero and the counting numbers 1, 2, 3, 4, 5…

fractions

A fraction is any number that can be written in the form A/B…

inverse property of addition

commutative property of addition

associative property of addition

identity property of addition

the sum of a number and its opposite is 0

the ORDER of the addends (numbers being added together) does…

the grouping of addends using parenthesis doesn't affect thei…

the sum of any number and zero is the original number

inverse property of addition

the sum of a number and its opposite is 0

commutative property of addition

the ORDER of the addends (numbers being added together) does…

Inverse Property of Addition

Integers

SSS

DSD

Every number has an ADDITIVE INVERSE (Opposite).... The sum of a…

A whole number.... A number that IS NOT a fraction.

Same Signs Sum... ADD... Take the sign of a greater number.

Different Signs Difference... SUBTRACT... Take sign of greater numb…

Inverse Property of Addition

Every number has an ADDITIVE INVERSE (Opposite).... The sum of a…

Integers

A whole number.... A number that IS NOT a fraction.

Hierarchy

Imaginary Number

Rational Number

Irrational Number

A classification system; a way of categorizing or classifying

Undefined Number... Ex: Even√Negative, ²√-9, x/0

A repeating or terminating decimal; a number that can be writ…

A non-terminating or non-repeating decimal... Ex: π, non-perfect…

Hierarchy

A classification system; a way of categorizing or classifying

Imaginary Number

Undefined Number... Ex: Even√Negative, ²√-9, x/0

Inverse Property of Addition

Integers

SSS

DSD

Every number has an ADDITIVE INVERSE (Opposite).... The sum of a…

A whole number.... A number that IS NOT a fraction.

Same Signs Sum... ADD... Take the sign of a greater number.

Different Signs Difference... SUBTRACT... Take sign of greater numb…

Inverse Property of Addition

Every number has an ADDITIVE INVERSE (Opposite).... The sum of a…

Integers

A whole number.... A number that IS NOT a fraction.

Natural Numbers

Whole Numbers

Integers

Rational Number

Counting numbers beginning with 1 (1,2,3..)

Zero and the natural numbers

Positive and negative values of the whole numbers

any number that can be expressed as a fraction with an intege…

Natural Numbers

Counting numbers beginning with 1 (1,2,3..)

Whole Numbers

Zero and the natural numbers

Real Numbers

Rational Numbers

Integers

Whole numbers

Any number that is not a square root or even root of a negati…

Any numbers, when in decimal form, ends or has a repeating pa…

Any whole number and their opposites negatives

Any number that is not a fraction or negative, no decimal

Real Numbers

Any number that is not a square root or even root of a negati…

Rational Numbers

Any numbers, when in decimal form, ends or has a repeating pa…

Right Triangle

Hypotenuse

Legs

Pythagorean Theorem

(noun) a triangle with one right angle.

(noun) the longest side of a right triangle (opposite the 90…

(noun) the two shortest sides of a right triangle (adjacent t…

(noun) , States that in a right triangle, the square of the h…

Right Triangle

(noun) a triangle with one right angle.

Hypotenuse

(noun) the longest side of a right triangle (opposite the 90…

Commutative Properties of addition and…

Associative Properties of Multiplicati…

Identity Property of Addition

Identity Property of Multiplication

changing the order of the values you are adding or multiplyin…

changing the grouping of the values you are adding or multipl…

the sum of any number and zero is the original number

the product of any number and one is the original number

Commutative Properties of addition and…

changing the order of the values you are adding or multiplyin…

Associative Properties of Multiplicati…

changing the grouping of the values you are adding or multipl…

Natural Numbers

Whole Numbers

Integers

Rational Number

Counting numbers beginning with 1 (1,2,3..)

Zero and the natural numbers

Positive and negative values of the whole numbers

any number that can be expressed as a fraction with an intege…

Natural Numbers

Counting numbers beginning with 1 (1,2,3..)

Whole Numbers

Zero and the natural numbers

place value

digit

value

standard form

The value of a digit that is in a number, such as ones, tens,…

Any one of the ten symbols 0, 1,... 2, 3, 4, 5, 6, 7, 8, or 9 us…

The value of where the digit is in the number. Example: In 35…

A way to write numbers by using the digits... 0-9, with each dig…

place value

The value of a digit that is in a number, such as ones, tens,…

digit

Any one of the ten symbols 0, 1,... 2, 3, 4, 5, 6, 7, 8, or 9 us…

Irrational Numbers

Rational

Whole Numbers

Integers

a number that cannot be written as the quotient of two integers

a number that can be written as the fraction a/b where a and…

the set of numbers {0, 1, 2, 3 ...} (no negatives)

the numbers {...-3, -2, -1, 0, 1, 2, 3...} consisting of the…

Irrational Numbers

a number that cannot be written as the quotient of two integers

Rational

a number that can be written as the fraction a/b where a and…

Negative Integer

Positive Integer

Integer Model

Number Line

An integer that is less than zero. It is written with a - sig…

An integer that is greater than zero.

Model using positive and negative squares.

a number line is labeled with positive and negative numbers i…

Negative Integer

An integer that is less than zero. It is written with a - sig…

Positive Integer

An integer that is greater than zero.

factor

prime number

composite number

variable

any whole number that divides evenly into another number that…

a whole number which only has 1 and the number itself as fact…

any whole number that has factors other than 1 and the number…

a symbol (usually a letter) used to represent a quantity that…

factor

any whole number that divides evenly into another number that…

prime number

a whole number which only has 1 and the number itself as fact…

A football has to be inflated with 13…

The Giants and Patriots were playing i…

A pro baseball player threw a baseball…

June bought 10 sweatshirts then staine…

13 + (-3)... = 10 pounds

15 + (-27)... = -12 yards

246 + (-4)... = 242 feet

10 + (-5) + 10... = 15 sweatshirts

A football has to be inflated with 13…

13 + (-3)... = 10 pounds

The Giants and Patriots were playing i…

15 + (-27)... = -12 yards

What is a counting/natural number?

What is a whole number?

What is an integer?

What is a real number?

Numbers you count with. No fractions, not zero

A number without any fractions or decimals, starting from zero

Whole numbers and their opposites

Any number on the number line

What is a counting/natural number?

Numbers you count with. No fractions, not zero

What is a whole number?

A number without any fractions or decimals, starting from zero

inverse property of addition

commutative property of addition

associative property of addition

identity property of addition

add the opposite sign and you get zero

the order is switched

order must stay the same, parentheses move

add zero to keep the number the same

inverse property of addition

add the opposite sign and you get zero

commutative property of addition

the order is switched

Bar Notation

Common Denominator

Least Common Denominator

Like Fractions

in repeating decimals, the line or bar is placed over the dig…

a common multiple of the denominators of one or more fractions

the least common multiple of the denominators

fractions with the same denominator

Bar Notation

in repeating decimals, the line or bar is placed over the dig…

Common Denominator

a common multiple of the denominators of one or more fractions

Distributive Property

Integer

Rational Number

Common Denominator

If you multiply a sum by a number, you will get the same resu…

A number expressible in the form of x or -x for any number x

A number expressible in the form of a/b or -a/b for some frac…

a denominator that has the same value between two fractions

Distributive Property

If you multiply a sum by a number, you will get the same resu…

Integer

A number expressible in the form of x or -x for any number x

Right Triangle

Hypotenuse

Legs

Pythagorean Theorem

(noun) a triangle with one right angle.

(noun) the longest side of a right triangle (opposite the 90…

(noun) the two shortest sides of a right triangle (adjacent t…

(noun) , States that in a right triangle, the square of the h…

Right Triangle

(noun) a triangle with one right angle.

Hypotenuse

(noun) the longest side of a right triangle (opposite the 90…

absolute value

real numbers

terminating decimals

repeating decimals

the distance a number is from 0

a set of numbers that consists of rational and irrational num…

a decimal that will stop

a decimal that will repeat either as a single digit or in a p…

absolute value

the distance a number is from 0

real numbers

a set of numbers that consists of rational and irrational num…

Denominator

Numerator

Unit Fraction

Multiple

The number below the line in a fraction. It tells how many eq…

The number above the line in a fraction. It tells how many eq…

A fraction with numerator of 1.

The product of a given whole number and any other number.

Denominator

The number below the line in a fraction. It tells how many eq…

Numerator

The number above the line in a fraction. It tells how many eq…

Whole Numbers

Integers

Positive Integers

Negative Integers

the numbers 0,1,2,3,4... (NO FRACTIONS or DECIMALS)

positive and negative whole numbers

numbers greater than zero

numbers less than zero

Whole Numbers

the numbers 0,1,2,3,4... (NO FRACTIONS or DECIMALS)

Integers

positive and negative whole numbers

rational number

irrational number

real numbers

natural numbers

a number that can be represented as a fraction

a number that cannot be represented as a fraction; goes on fo…

the set of all numbers that includes rational and irrational…

numbers that can be counted

rational number

a number that can be represented as a fraction

irrational number

a number that cannot be represented as a fraction; goes on fo…

Square Root

Perfect Square

Radical Sign

Radicand

of a number that, when multiplied by itself, equals the given…

is a number with integers as its square root

The numbers under the radical sign 7.1

Square Root

of a number that, when multiplied by itself, equals the given…

Perfect Square

is a number with integers as its square root

Factor

Product

Estimate

Regroup

numbers that when multiplied together give the product

the answer in a multiplication problem

a number close to an exact amount

To use place value to change 10 ones into 1 ten, 10 tens into…

Factor

numbers that when multiplied together give the product

Product

the answer in a multiplication problem

bar notation

common denominator

least common denominator

like fractions

In repeating decimals, the line or bar placed over the digits…

a common multiple of the denominators of two or more fractions.

The least common multiple of the denominators of two or more…

fractions that have the same denominators.

bar notation

In repeating decimals, the line or bar placed over the digits…

common denominator

a common multiple of the denominators of two or more fractions.

rational number

negative numbers

positive numbers

opposite numbers

the set of that can be written in the form a/b (that is, as a…

the set of numbers less than zero.

the set of numbers greater than zero.

two different numbers that have the same absolute value. exam…

rational number

the set of that can be written in the form a/b (that is, as a…

negative numbers

the set of numbers less than zero.

Which is smaller: -4 or -9 ?

Which is smaller: 17.07 or 17.007?

Write in increasing order: 0.8, 5.4, 7/8

Write in increasing order: 31/4, 7 5/8…

17.007... When ordering numbers with decimals, multiply by "the…

0.8, 7/8, 5.4... First, change all fractions to decimals.... 7/8 i…

square root 50, 7 5/8, 31/4, 7.82... First, change all numbers…

Which is smaller: -4 or -9 ?

Which is smaller: 17.07 or 17.007?

17.007... When ordering numbers with decimals, multiply by "the…

absolute value

mixed number

rational number

coordinate grid or coordinate plane

The distance of a number from zero on a number line; shown by…

A number made up of a whole number that is not zero and a fra…

Any number that can be expressed as a ratio of two integers.…

A plane formed by the intersection of a horizontal number lin…

absolute value

The distance of a number from zero on a number line; shown by…

mixed number

A number made up of a whole number that is not zero and a fra…

Base

Coefficient

Common factor

Common multiple

When a number is written in exponential form, the number that…

The coefficient is the number before a variable in an algebra…

A factor that two or more numbers share is a common factor.

A multiple shared by two or more numbers is a common multiple.

Base

When a number is written in exponential form, the number that…

Coefficient

The coefficient is the number before a variable in an algebra…

Rational number

Integer

Opposite

Coordinate Plane

A number that can be written as a/b where a and b are integar…

A number expressible in the form a or ... -a for some whole numb…

Two numbers that have the same absolute value but have opposi…

A two-dimensional region determined by a pair of axes and tha…

Rational number

A number that can be written as a/b where a and b are integar…

Integer

A number expressible in the form a or ... -a for some whole numb…

Base

Coefficient

Common factor

Common multiple

When a number is written in exponential form, the number that…

The coefficient is the number before a variable in an algebra…

A factor that two or more numbers share is a common factor.

A multiple shared by two or more numbers is a common multiple.

Base

When a number is written in exponential form, the number that…

Coefficient

The coefficient is the number before a variable in an algebra…

sum

difference

product

divisor

the answer when you add two or more numbers

the answer when you minus one number from another number

the answer when you multiply two or more numbers together

the number that will divide into another number

sum

the answer when you add two or more numbers

difference

the answer when you minus one number from another number

Directed Numbers

Choosing directions for numbers

The Number Plane

Reading a Number Plane

- many of the numbers we use represent situations that have d…

- if north is positive, then south is negative... - if east is p…

- on most street directories, a letter and a number are used…

- the x-coordinate is always written before the y-coordinate…

Directed Numbers

- many of the numbers we use represent situations that have d…

Choosing directions for numbers

- if north is positive, then south is negative... - if east is p…

- - (e.g 2 - - 2)

+ - OR - + (e.g 2+ -2 or 2 - 2)

Rule of Adding and Subtracting

Integer

Equals a +.

Equals a -.

Two like signs (e.g + +) equal a plus, two different signs (e…

All whole numbers (both positive and negative) and zero.

- - (e.g 2 - - 2)

Equals a +.

+ - OR - + (e.g 2+ -2 or 2 - 2)

Equals a -.