Numeration Numeration VocabularyVocabularyNumeration Numeration VocabularyVocabulary

Ms. HornbuckleMs. 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.

• 3 ½• 4 ¼

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