Download 5th Grade Math Reference Sheet

5th Grade Math Reference Sheet
PLACE VALUE
Millions
H
T
O
Thousands
H
T
O
Ones
Hundreds
Place Value:
Tens
Decimals
Ones
tenths
hundredths
thousandths
Where it lives…street Name, Place only
Value of a Number:
How much is it worth? Think $$$$
What Operation do I use ???
Addition
Subtraction
Multiplication
Division
Sum
Altogether
In all
More than
Increased by
Total
Perimeter
Difference
How much more
How much less
How much left
Decreased by
Amount of change
Product
Of
Percent of
Fraction of
Twice
# of times
Each
Quotient
Shared equally
Split evenly
Half ÷ 2
Size/cost of each
Per (unit)
Average
Number Forms
Standard Form — regular numbers — 1,234,567
Word Form — say it and write it out (See Place Value above
for spelling)
Division Steps
Dividend ÷ Divisor = Quotient
The dividend is the first one in the house
locking the door on the divisor!
Expanded Form — s t r e t c h e d - o u t 2 ways — with “+”
and “x”
Estimation
1. Round to the highest place value (remember 0 1 2 3 4 digit
remains the same and
5 6 7 8 9 the digit goes up)
2. Then do operation given (add, subtract, multiply)
3. OR with Division - use compatible numbers
D
÷
M
x
S
-
C
B
Repeat

Order of Operations
Average
(P)lease
Mean  “It’s A lot of work to Do!”
Excuse
My Dear  f l t r
Mode
Aunt Sally  f l t r
Median (don’t forget to order)
Range-Difference = high-low
A few are Prime but
Lots are Composite
x
+
1 2 3
BM
nnn
nn
LOOK at numbers 2, 5, 10

Look at last digit
ADD numbers 3, 9
Probability
P=
# of favorable outcomes
First the Maid cleans
Divisibility Rules
# of possible outcomes

3 add the digits, is the sum
divisible by 3

9 add the digits, is the sum
divisible by 9
Interrupts the Butler 
Then the Butler checks
Fractions: Adding and Subtracting
To Order or Compare Fractions
1. Find a common denominator
1. Change to mixed to improper
2. Make equivalent fractions
3. Add or subtract numerators only
2. Make equivalents with common
denominators
4. SIMPLIFY
3. Rewrite original fractions
Simplify = Rename = Reduce =
Fractions
Lowest terms = Simplest Form
Dividing fractions is a pain
Unless you know the rule
Flip the second fraction round
~ ÷ top and bottom by the same number
~ Use Ladder method
And multiply…that’s cool

( x, y)
Adding and Subtracting Decimals
1. Line up decimal points
2. Bring decimal down into the answer
Ordered Pairs
X - horizontal axis
Y - vertical axis
Multiplying Decimals
1.
2.
3.
4.
Line up numbers
Multiply
Count the number of decimal points
Place the decimal in the answer
Decimal to Fraction:
1. “Say” the decimal
2. “Write” the fraction
Dividing Decimals
1. Move decimal point out of divisor
2. Move the same number of places in
dividend
3. Raise decimal in answer
Fraction to Decimal:
1. Turn denominator into a divisor
2. Numerator goes in the house
Geometry
Point
Ray
Line Segment
Line
Para l l el
Perpendicu L ar
k
ANGLES
Right
Straight
Acute
Obtuse
Triangles
Complimentary
Supplementary
Quadrilaterals
ISoSceles
Trapezoid
Parallelogram
Equilateral
Square
Rhombus
ScaleNe
Rectangle