Pre-Algebra

Arithmetic (Spelling)

Spelling of Arithmetic: A Rat In The House May Eat The Ice-Cream.

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Arithmetic Properties

Commutative Property

The commuting distance is the same in either direction, from home to work or work to home. The Commutative Property tells us that: a + b = b + a or a × b = b × a

Associative Property

To associate with people is to group up with them.The Associative Property are about grouping:(a + b) + c = a + (b + c), or (a × b) × c = a × (b × c)

Distributive Property

To distribute something is to give it to everyone. The Distributive Property “gives” whatever’s outside the parentheses to everything inside: a (b + c)=ab + ac

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Dividing One Fraction With Another

Keep the first fraction, Change the sign from divide to multiply, Flip the last fraction.

Kentucky Chicken Fried
Kangaroo Candy Flowers
Koalas Chasing Ferrets

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Division Algorithm (How To Do Long Division)

Divide - Multiply - Subtract - Compare - Bring Down

Does McDonalds Serve Cheese Burgers?
Does My Sister Cook Bananas?

Divide - Multiply - Subtract -Compare -Remainder
Does McDonald's Sell Cheeseburgers Raw?

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Feet in a Mile
5280 feet = 1 mile

5 Tomatoes

5 to (m)ate oe(s)

5 2 8 0 -- or 5,280 feet in a mile

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Greater Than or Less Than?
<> ?

Which means greater than? Which means less than? How can you tell?

The alligator has to open its mouth wider for the larger number.

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Metric Unit Prefixes

Metric Units of Measure in Order
* Kilo

* Hecto

* Deca

* Units [meter, liter, gram]

* Deci

* Centi

* Milli

King Hector Doesn't Usually Drink Cold Milk.

King Henry Danced [Merrily / Lazily / Grandly] Drinking Chocolate Milk.

For the standard units you can insert [Merrily] for meter, [Lazily] for liter, or [Grandly] for gram.

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Mode & Median

Mode

The mode is the value there are the most of
“MOde” and “MOst” have the same starting 2 letters.
The mode is the Most Occuring Data Entity.

Median

The median splits the data down the middle, like the median strip in a road.

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Which is the Numerator, which is the Denominator?
Think “Notre Dame” (N before D)
nUmerator Up, Denominator Down
Nice Dog (N before D)

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Multiplying Signed Numbers

Analogies can help here.

From sports: we = pos, win = pos, they = neg, lose = neg, good = pos, bad = neg

we win = good (pos × pos = pos)

we lose = bad (pos × neg = neg)

they win = bad (neg × pos = neg)

they lose = good (neg × neg = pos)

From friendship: friend = pos, enemy = neg

My friend's friend is my friend (pos × pos = pos)

My friend's enemy is my enemy (pos × neg = neg)

My enemy's friend is my enemy (neg × pos = neg)

My enemy's enemy is my friend (neg× neg = pos)

From life: good = pos, bad = neg

A good thing happening to a good person is good. (pos × pos = pos)

A good thing happening to a bad person is bad. (pos × neg = neg)

A bad thing happening to a good person is bad. (neg × pos = neg)

A bad thing happening to a bad person is good. (neg× neg = pos)

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Order of Operations

The order of mathematical operations:

* Parentheses

* Exponents

* Multiplication/Division (left to right)

* Addition/Subtraction (left to right).

PEMDAS Mnemonics

1. Please Excuse My Dear Aunt Sally
2. Please Educate My Daughters And Sons
3. Pursuing Education Means Dedication And Study

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Roman numerals

Roman Numerals: I =1, V = 5, X = 10, L = 50 , C = 100 , D = 500 and M = 1000.

I Viewed Xerxes Loping Carelessly Down Mountains.

I Value Xylophones Like Cows Dig Milk

Roman numerals: L = 50 , C = 100 , D = 500 and M = 1000.

Lucy Can't Drink Milk.

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