The value of two numbers to determine which number is greater or less or if the numbers are equal in value.
Compare Numbers
The set of positive numbers that begins at one and increases by increments of one each time (1, 2, 3,4,5,6....)
Counting numbers
A number in the base-10 place value system used to represent a quantity that may include part of a whole and is recorded with a decimal point separating the whole from the part.
Decimal number
Any numeral from 0 – 9.
Digit
The representation of a number as a sum of place values (e.g., 985,156,789 as 900,000,000 + 80,000,000 + 5,000,000 + 100,000 + 50,000 + 6,000 + 700 + 80 + 9; 985,156,789.78 as 900,000,000 + 80,000,000 + 5,000,000 + 100,000 + 50,000 + 6,000 + 700 + 80 + 9 + 0.7 + 0.08)
Expanded form
The representation of a number as a sum of place values where each term is shown as a digit(s) times its place value (e.g., 985,156,789 as (9 x 100,000,000) + (8 x 10,000,000) + (5 x 1,000,000) + (1 x 100,000) + (5 x 10,000) + (6 x 1,000) + (7 x 100) + (8 x 10) + (9 x 1); 985,156,789.78 as 9(100,000,000) + 8(10,000,000) + 5(1,000,000) + 1(100,000) + 5(10,000) +6(1,000) + 7(100) + 8(10) + 9 + 7(0.1) + 8(0.01))
Expanded notation
A symbol used to name a number
Numeral
Placing numbers from least to greatest or greatest to least.
Order numbers
A three-digit grouping of whole numbers where each grouping is composed of a ones place, a tens place, and a hundreds place, and each grouping is separated by a comma.
Period
The value of a digit as determined by its location in a number such as ones, tens, hundreds, one thousands, ten thousands, etc.
Place value
The representation of a number using digits (e.g., 985,156,789.78)
Standard form
The set of counting (natural) numbers and zero {0, 1, 2, 3, ..., n}
Whole numbers
The representation of a number using written words (e.g., 985,156,789 as nine hundred eighty-five million, one hundred fifty-six thousand, seven hundred eighty-nine; 985,156,789.78 as nine hundred eighty-five million, one hundred fifty-six thousand, seven hundred eighty-nine and seventy-eight hundredths)
Word form