 # Pre-Algebra Mnemonics and Songs

Related Topics: More Math Mnemonics

A collection of pre-algebra mnemonics - to help you to remember various math facts and figures.

In these lessons, we have mnemonics and songs to help you remember

• how to spell the word ARITHMETIC
• the arithmetic properties - Commutative, Associative, Distributive and Identity
• which is numerator and which is denominator
• how to multiply, divide, add and subtract fractions
• how to do long division
• how to convert feet to miles
• the greater than and less than symbols
• the prefixes of metric units
• mean, median and mode
• how to multiply signed numbers
• the order of operations (PEMDAS)
• place value and decimals
• roman numerals
• the relationship between speed, distance and time

### Pre-Algebra

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

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

A video rap to help you remember the number properties - associative, commutative, distributive and identity

Which is the Numerator, which is the Denominator?

• Think “Notre Dame” (N before D)
• nUmerator Up, Denominator Down
• Nice Dog (N before D)
• NUmerator is Never Under, Denominator is Down
This song helps students remember the difference between the numerators and denominators in fractions 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

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?

• 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

Greater Than or Less Than?

< or > ?
Which means greater than? Which means less than? How can you tell?
The alligator has to open its mouth wider for the larger number.

The following video shows how to remember which symbol to use.

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

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.

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

Order of Operations

The order of mathematical operations:
* Parentheses
* Exponents
* Multiplication/Division (left to right)

PEMDAS Mnemonics
Excuse
My Dear
Aunt Sally

Educate
My Daughters
And Sons

3. Pursuing
Education
Means Dedication
And Study

A music video about PEMDAS, the order of operations- this one has a PEMDAS lesson with examples in the middle of the song.

Place Value and Decimals

Roman numerals

Roman numerals: I =1, V = 5, and X = 10.
I View Xrays.

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.

Use the first letter of each word to help you remember the integers zero through ten.

"Zowie! Only time travelers forge forward." said Sam, entering next Tuesday.

(Thanks Amy for the contribution)

Speed, Distance and Time

Remember the formula triangle D = distance traveled
S = Average speed
T = Time taken

You can use the formula triangle in the following way:
If you need to find D, cover up D in the triangle and you get S × T

If you need to find S, cover up S in the triangle and you get If you need to find T, cover up T in the triangle and you get Speed-Distance-Time triangle

This video shows how to use the Speed-Distance-Time Triangle to solve some word problems.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 