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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…

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

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

- - (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 -.

Prime Numbers

Factors

Finding Prime Factors Using Factor Trees

Lowest Common Multiple (LCM)

Numbers that only divide by themselves and 1.... e.g. 2,3,4,5,7,…

The factors of a numbers are all the numbers that divide into…

Any number can be broken down into prime numbers and expresse…

Is the smallest number that will divide by all the numbers in…

Prime Numbers

Numbers that only divide by themselves and 1.... e.g. 2,3,4,5,7,…

Factors

The factors of a numbers are all the numbers that divide into…

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…

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…

Integers

Decimals - Terminating

Decimals - Reccurring

Irrational Numbers

Positive and negative whole numbers including zero... + x + = +…

means they stop... eg. 0.6... 1.3... 0.875

means they have a pattern that doesn't stop... eg. 0.444...... 0.58…

means they have an infinite number of digits with no pattern.…

Integers

Positive and negative whole numbers including zero... + x + = +…

Decimals - Terminating

means they stop... eg. 0.6... 1.3... 0.875

Prime Number

Composite Number

Is the number 1 prime or composite

Factors

A number that has only two factors 1 and itself

A number with more than two factors

Neither

A number multiplied by another number to get a product

Prime Number

A number that has only two factors 1 and itself

Composite Number

A number with more than two factors

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

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.

changing improper fractions to mixed n…

changing mixed numbers to improper fra…

finding a fraction of a quantity

simplifying fractions

improper fraction eg 11 over 9 . turn it into a division . th…

times the whole number by the denominator . with the answer y…

it will give you a fraction of an amount . you will have to d…

it will be a fraction . you have to see what the two numbers…

changing improper fractions to mixed n…

improper fraction eg 11 over 9 . turn it into a division . th…

changing mixed numbers to improper fra…

times the whole number by the denominator . with the answer y…

natural number

whole number

integer

rational

starts with 1 and does not include 0,decimals,or negative num…

includes all natural numbers and 0

includes all whole numbers and their opposites (ex:-7,7)

can be as a fraction,decimal form,a rational number terminate…

natural number

starts with 1 and does not include 0,decimals,or negative num…

whole number

includes all natural numbers and 0

denominator

numerator

equivalent fraction

simplify

The bottom number in a fraction.

the top number in a fraction

Fractions that have the same value

Replace an expression with its simplest name or form

denominator

The bottom number in a fraction.

numerator

the top number in a fraction

square number

square numbers between 1 and 150

perfect square

factor

when we multiply a number by itself

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144

a number made by squaring a whole number

a number that divides exactly into another number. For exampl…

square number

when we multiply a number by itself

square numbers between 1 and 150

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144

When multiplying WHOLE NUMBERS by 10,…

When multiplying DECIMALS by 10, 100,…

How do you find the SUM? [What's nothe…

How do you find the DIFFERENCE?

Write the other number and then add the same number of zeros…

...move the decimal to the RIGHT by the number of zeros. 2.53…

Add. The answer when you add numbers is called the sum. [Anot…

Subtract. When you subtract numbers the answer is called the…

When multiplying WHOLE NUMBERS by 10,…

Write the other number and then add the same number of zeros…

When multiplying DECIMALS by 10, 100,…

...move the decimal to the RIGHT by the number of zeros. 2.53…

place value

value

digits

standard form

The value of the place of a digit in a number.

How much a digit is worth

In the base 10 system, any of the symbols: 0, 1, 2, 3, 4, 5,…

A common or usual way of writing a number using digits.

place value

The value of the place of a digit in a number.

value

How much a digit is worth

non-zero

vulgar fraction

numerator

iteration

having a positive or negative value; not equal to zero

A fraction where both top and bottom are integers.

the top number in a fraction

Also called successive approximation. a problem-solving or co…

non-zero

having a positive or negative value; not equal to zero

vulgar fraction

A fraction where both top and bottom are integers.

changing improper fractions to mixed n…

changing mixed numbers to improper fra…

finding a fraction of a quantity

simplifying fractions

improper fraction eg 11 over 9 . turn it into a division . th…

times the whole number by the denominator . with the answer y…

it will give you a fraction of an amount . you will have to d…

it will be a fraction . you have to see what the two numbers…

changing improper fractions to mixed n…

improper fraction eg 11 over 9 . turn it into a division . th…

changing mixed numbers to improper fra…

times the whole number by the denominator . with the answer y…

Exchange rates

Direct proportion

Inverse proportion

Decrease by ratio

Multiply by exchange rate from 1 or divide by exchange from o…

Y= kx... Reverse to solve

Y= k\x ... Reverse to solve

Eg. Decrease 144 by 3:4 ... For every 4 change to 3... 144/4= 36... 36…

Exchange rates

Multiply by exchange rate from 1 or divide by exchange from o…

Direct proportion

Y= kx... Reverse to solve

Real numbers

Irational numbers

Real numbers

Rational

16,-9,0,1/4,-3/2,.21,-.25.....pi, square root of 5 , negitive…

Pie a decimal that does not terminates or repeats

R

Q

Real numbers

16,-9,0,1/4,-3/2,.21,-.25.....pi, square root of 5 , negitive…

Irational numbers

Pie a decimal that does not terminates or repeats

inverse operation

order

product

dividend

the operation that reverses the effect of another operation;…

to arrange numbers from greatest to least or from least to gr…

the answer to a multiplication problem

the number that is to be divided in a division problem

inverse operation

the operation that reverses the effect of another operation;…

order

to arrange numbers from greatest to least or from least to gr…