Mathematics Vocabulary

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Decimal number

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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.

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Digit

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Any numeral from 0 – 9.

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Estimation

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Reasoning to determine an approximate value.

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Expanded form

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The representation of a number as a sum of place values (e.g., 985,156,789.782 as 900,000,000 + 80,000,000 + 5,000,000 + 100,000 + 50,000 + 6,000 + 700 + 80 + 9 + 0.7 + 0.08 + 0.002).

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Expanded notation

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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., 985,156,789.782 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) + 2 (0.001)).

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Order numbers

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To arrange a set of numbers based on their numerical value.

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Place value

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The value of a digit as determined by its location in a number, such as ones, tens, hundreds, one thousand, ten thousand, etc.

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Rounding

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A method for estimating a number by increasing or retaining a specific place value digit according to specific rules and changing all trailing digits to zero.

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Standard form

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The representation of a number using digits (e.g., 985,156,789.782).

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Word form

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The representation of a number using written words (e.g., 985,156,789.782 as nine hundred eighty-five million, one hundred fifty-six thousand, seven hundred eighty-nine and seven hundred eighty-two thousandths).