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An integer is said to be divisible by a…

An integer is divisible by....

A factor is a positive integer that div…

A multiple of an integer is formed by m…

...

- 2 if the integer is even... - 3 if the same of the integer's di…

For example, 1, 2, 3, and 8 are all the factors (also called d…

...

An integer is divisible by 3 iff

An integer is divisible by 4 iff

An integer is divisible by 6 iff

An integer is divisible by 8 iff

the sum of the integer's digits is divisible by 3

the integer is divisible by 2 twice, or the integer's last two…

the integer is divisible by both 2 and 3

the integer is divisible by 2 three times, or the integer's la…

Divisibility Rule - 3

Divisibility Rule - 4

Divisibility Rule - 6

Divisibility Rule - 8

If sum of the integer's digits is divisible by 3

If the integer is divisible by 2 twice... OR... If the last two digi…

If divisible by both 2 and 3... (It is an even number that is als…

If divisible by 2 three times... OR... If the last three digits are…

Odd +- Odd =... Even +- Even =... Odd +- Even…

12 is a multiple of

prime factors vs. distinct prime factors

if a certain number is divisible by 12…

Odd +- Odd = EVEN... Even +- Even =EVEN... Odd +- Odd = ODD... Odd x O…

3,4,6,2... -because 12 is divisible by 3,4,6,2... -multiple is the…

1,050 = 2 x 3 x 5 x 5 x 7... -5 prime factors... -4 distinct prime f…

12 PF = 2, 2, and 3... 10 PF = 5, 2... 2 x 2 x 3 x 5 = 60... 24 is not…

How do you know if a number is divisibl…

How do you know if a number is divisibl…

How do you know if a number is divisibl…

How do you know if a number is divisibl…

If the sum of the number's digits is divisible by 3

If it's divisible by 2 twice, or if the last two digits are di…

if it's divisible by both 2 and 3

if the sum of its digit's is divisible by 9

Bowtie Approach

Lowest Common Denominator Method vs Bow…

Decimal place values

Postive exponent

Adding or subtracting fractions using this formula:... a/b + c/d…

Use LCD when all the numbers in the denominators are factors o…

6,493.783... thousands, hundreds, tens, units . tenths hundredths…

Move the decimal to the right by the number of places represen…

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 n…

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

the sum of any number and zero is the original number

If 2 different representatives are to b…

If n is positive, is sqrt(n) > 100?... 1)…

If n and y are positive integers and 45…

A school administrator will assign each…

Answer: E... 1) More than 1/2 of the 10 employees are women.... Th…

TO DO LATER

Answer: 1 only

Answer: B - Statement 2 is sufficient and statement 1 in insuf…

Commutative Property of Addition and Mu…

Associative Property

Distributive Property

Identity Property of Addition

Addition and Multiplication are this: switching the order of t…

Addition and multiplication are this: the order that the numbe…

This property of multiplication over addition: multiplication…

adding 0 to a number leaves it unchanged. We call 0 the additi…

Prime numbers

Checking if # <100 is prime

ab < 0 and bc > 0

square root of n^2

factors of itself and 1 (one is NOT prime #)... 2 ,3, 5, 7, 11, 1…

1. other than 2, all other even #s ruled out... 2. see if divisib…

a & b have different signs ... b & c have the same sign ... Therefor…

n or -n *same for any even root, undefined if x is negative

Additive Identity

Multiplicative Identity

Commutative Property of Addition

Commutative Property of Multiplication

A number plus zero equals that number... a + 0 = 0

A number times one equals that number... a x 1 = a

Sum remains the same when order is changed around... a + b = b + a

Product remains the same when order is changed around... a x b =…

Additive Identity

Multiplicative Identity

Commutative Property of Addition

Commutative Property of Multiplication

A number plus zero equals that number... a + 0 = 0

A number times one equals that number... a x 1 = a

Sum remains the same when order is changed around... a + b = b + a

Product remains the same when order is changed around... a x b =…

What integers are a factor of 48?

What integers are a factor of 8748?

How many factor pairs are there for 72?…

How many factor pairs for 48? How many…

1 2 3 4 6 8

1 2 3 4 6 9

6 (1 2 3 4 6 8, 9 is a pair with 8 so isnt counted twice) 7 (1…

6 (1 2 3 4 6 8) 6 (1 2 3 4 6 8)

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 n…

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

the sum of any number and zero is the original number

Additive Identity

Multiplicative Identity

Commutative Property of Addition

Commutative Property of Multiplication

A number plus zero equals that number... a + 0 = 0

A number times one equals that number... a x 1 = a

Sum remains the same when order is changed around... a + b = b + a

Product remains the same when order is changed around... a x b =…