Transcript Numeration Vocabulary

Numeration Vocabulary
Ms. Hornbuckle
Base Systems
•Our System is the decimal or base 10 system for numbers.
•Time is measured in Base 60 (60 minutes in one hour) and is from
the ancient Babaloynians.
•There are many types of base systems
•Mayan:
Common Denominator
• A number into which the
denominators divide equally
• The common denominator of 1/3 and
1/4 is 12 because 3 and 4 divide
equally into 12
Commutative Property of
Multiplication
• The property states that it doesn’t
matter which order you multiply the
numbers, the answer is still the same
• 4*9=9*4
Convert
• Means to change the form, but not
the value
• ½ = .5 = 50%
• 1 inch = 2.54cm
• Hello = Hola
Decimal
• A part of a number (based on the
base 10 system)
• Ex. 3.4
Distributive Property
• Multiply each term in a set of
parentheses by the term outside
• 3(x+4) = 3x +12
• Animation Link
Exponential Form
• Writing a number with a whole
number and an exponent
• Exponential Form: 43
• Not Exponential Form: 4*4*4
Exponents
• A smaller number placed to the
upper-right of a number that shows
the number of times the base number
is multiplied times itself.
• 34 = 3*3*3*3
Factor
• A whole number that divides
EXACTLY into a number
• Example: 1, 2, 3, 4, 6, and 12 are
factors of 12.
Greatest Common Factor
• The largest numbers that will divide
into two are more numbers evenly
• Example: The GCF of 9 and 12 is 3
Identity of One
• Also known as the identity property
of multiplication
• When a number is multiplied by one
the result is the number itself
• 12 * 1 = 12
Identity of Zero
• Also known as the identity property
of addition.
• When zero is added to any number
the result is the number itself.
• 12 + 0=12
Identity Property of
Multiplication
• See Identity Property of One
• 12 * 1 = 12
Improper Fraction
• A fraction that is larger than one
• The numerator is larger than the
denominator
• 12/4
Inequality
• Not equal in Size, Amount or Value
• Represented by >, <, <, >
• 5<7 and 7>3
Integer
• Any positive or negative number
including zero.
• Examples -45, 23, 0, 15, -23
Inverse Operations
• Two operations that have the
opposite effect.
• Addition and Subtraction
• Multiplication and Division
Least Common Multiple
• The smallest number that is the
multiple of 2 or more numbers.
• The LCM of 3, 4, and 6 is 12
• 3, 6, 9, 12, 15
• 4, 8, 12, 16
• 6, 12, 18
Mixed Number
• Number written as a whole number
with a fraction. It is larger than one.
• 3½
• 4¼
Model
• To show something visually. Model in
math usually includes
drawing/pictures.
Multiples
• To find a multiple of a number at the
number to itself. This can be
repeated to find many multiples
• 3, 6, 9, 12, 15
• 2, 4, 6, 8, 10
• 11, 22, 33, 44, 55
Order
• To place from least to greatest or
greatest to least.
Percent
• A number out of 100
• 60% is 60 out of 100
• 27% is 27 out of 100
Place Value
• The value of a digit based on where it
is placed in a number
Powers of Ten
• This means 10 raised to any positive
(usually) integer.
• 103 104 10105
Prime Factorization
• Write a number as the product of it’s
prime factors
• 2*2*2*7 or 23*7
Proportion
• A proportion has a constant (equal)
ratio.
• Usually seen as two ratios with an
equal sign in the middle
• ½ = 2/4
Ratio
• Comparative value of two or more
amounts as compared to the total.
• Example-> The ratio of boys to girls
in a group of 10 is
Boys:Girls
» 6:4
Rational Numbers
• Is a repeating decimal, terminating
decimal or an integer.
• Examples
–
–
–
–
3.4
3.75
5
4.223223223
Real Number System
• The real number system includes
fractions, whole numbers, and
rational numbers. All real numbers
can be placed on a number line.
Scientific Notation
• A way of writing very large or very
small numbers using a number
between 1 and 10 and multiplied by a
power of 10
• Example 1.56 * 102 = 156