Unit 1 Vocabulary/Rules
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Transcript of Unit 1 Vocabulary/Rules
Unit 1 Vocabulary/Rules
Lesson 1
A number is divisible by 2 if
RULE ExamplesIt is even (ends 0, 2, 4, 6, or 8)
1,234 984561,592,342
2 is the ONLY even prime #
A number is divisible by 3 if
RULE Examples
The sum of the digits is divisible by 3
234 2+3+4=99 is divisible by 3 so 234 is divisible by 3
A number is divisible by 4 if
RULE Examples
The last 2 digits form a number divisible by 4
6,528 28 is divisible by 4 so 6,528 is divisible by 4
A number is divisible by 5 if
RULE Examples
It ends with 0 or 5
9351,3402,908,675
A number is divisible by 6 if
RULE Examples
It is divisible by 2 and 3
234
Ends 4 so divisible by 2
2+3+4=99 is divisible by 3 so 234 is
divisible by 3
Divisible by 2 and 3 so divisible by 6
A number is divisible by 9 if
RULE Examples
The sum of the digits is divisible by 9
135 1+3+5=99 is divisible by 9 so 135 is divisible by 9
A number is divisible by 10 if
RULE Examples
It ends with 0
901,234,5602504,350
EvenDefinition Examples
Ends 0, 2, 4, 6, or 8
1,234 984561,592,342
OddDefinition Examples
Ends 1, 3, 5, 7, or 9
1,243 894651,592,423
DivisibleDefinition Examples
Can be divided by with no remainder
45 is divisible by 5
36 is divisible by2
320 is divisible by 10
CompositeDefinition Examples
Has more than 2 factors
121 X 122 X 63 X 4
PrimeDefinition Examples
Has exactly 2 factors
(1 X itself)
291 X 29971 X 97
FactorDefinition Examples
the integers (numbers) multiplied to get a product
3 X 4=12
fact
or
fact
or
pro
duct
ExponentDefinition ExamplesNumber written as a power that tells how many base numbers are being multiplied
43
4X4X4=64
Base
#
exponent
Prime Factorization
Definition Examples
Factoring a number until all factors are prime
12
12 = 2 X 2 X 3
3 4
22
Fundamental Theorem of Arithmetic
Any integer (number) greater than 1 can be written as a unique product using only prime numbers.(Numbers greater than 1can be factored using prime factorization)
Greatest Common Factor (GCF)
Definition Examples
Largest factor 2 or more numbers have in common
61X6 2X3
91X93X3
3 is the GCF
MultipleDefinition Examples
Product of a given whole number and an integer
Multiples of 3
3,6,9,12…3X1, 3X2, 3X3,
3X4…
Least Common Multiple (LCM)
Definition Examples
Smallest multiple two or more numbers have in common
44,8,12
66,12
12 is the LCM
DecomposeDefinition Examples
Break into smaller parts
25 + 37 (2X10) + 5 + (3 X10) +
7
122 x 2 x 3