Competency 14 Number Concepts and Operations

Grouping Property
The associative property is also known as the…
Commutative Property

The order does not change the results


ex. a+b = b+a OR a x b = b x a


The order of operations performed in groups when adding or multiplying


Ex: 8+(2+10) =(8+2) +10

Ex: 6(3×4) = 3(4×6)

Order Property
The commutative property is also known as the…
Composite Numbers

Numbers with factors other than the number itself and 1

Ex: 4, 6, 9,27,33,49, 72

Prime Numbers

Numbers having only 2 factors, the number itself and 1


Ex: 3, 5, 7, 11, 13, 17

NOTE: 1 is NOT included

Whole numbers that are negative or positive, including zero
Prime Numbers

  • these numbers can be odd or even
  • the only factors are 1 and the number itself
  • has an infinite number of multiples

Greatest Common Factor or

Greatest Common Denominator

The largest number that is a factor of 2 or more numbers is called…
Scientific Notation

Writing a number as the product of a power of 10

Ex:240.2 = 2.402 x 102

Ex: 2,400,000 = 2.4 x 106


The time tables for a number.


Ex: 9:18, 27, 36, 45, 54…

Ex: 5:10, 15, 20, 25, 30…

Least Common Multiple

The smallest number that is a multiple of 2 or more numbers


EX: 15 is the smallest number that both 3 and 5 can go into

(3:3, 6, 9, 12, 15, 18…)

(5:5, 10, 15, 20, 25…)

Prime Factorization

Writing the number as only the product of prime numbers


Using a factor tree to find the answer

Distributive Property

Distributing numbers without changing the results

Distributing numbers as they are taken apart


Ex: a(b+c) = (axb) + (axc)

Ex: 3(4+8) = (3×4) +(3×8)

Percent as a Decimal
Divide the value by 100, then move the decimal point 2 places to the left will result in writing a
One-to-One Correspondence

Matching, like setting a table;

Matching each number with one object is called…


The procedure, method, or rule that breaks computation into small steps

The step-by-step way of solving a problem

Writing a percent as a fraction

Rewriting the precent using a denominator of 100

Ex: 25/100 = 25%


Positive numbers

negative x negative

positive x positive

Negative number
positive x negative will equal?
In division, the answer is considered the…
In division, the number on the inside that is being divided is the…
In division, the number located on the outside, and the number which the dividend is divided…

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