numeration vocabulary ms. hornbuckle. base systems our system is the decimal or base 10 system for...
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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
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
Improper Fraction• A fraction that is larger than one• The numerator is larger than the
denominator• 12/4
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
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
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.