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# cpe5math Numbers

### Numbers

Question | Answer |
---|---|

Additive numerical pattern | a pattern that occurs when a constant non–zero value is added to an input value to determine the output value (y = x + a) |

Associative property of multiplication | if three or more factors are multiplied, they can be grouped in any order, and the product will remain the same |

Commutative property of multiplication | if the order of the factors are changed, the product will remain the same |

Compare numbers | to consider the value of two numbers to determine which number is greater or less or if the numbers are equal in value |

Compatible numbers | a method for estimating a group of numbers by slightly adjusting some or all of the numbers to allow for easy mental computation |

Composite number | a whole number with more than two factors |

Counting (natural) numbers | the set of positive numbers that begins at one and increases by increments of one each time {1, 2, 3, ..., n} |

Decimal number | 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 |

Digit | any numeral from 0 – 9 |

Distributive property of multiplication | if multiplying a number by a sum of numbers, the product will be the same as multiplying the number by each addend and then adding the products together |

Dividend | the number that is being divided |

Divisor | the number the dividend is being divided by |

Equation | a mathematical statement composed of algebraic and/or numeric expressions set equal to each other |

Estimation | reasoning to determine an approximate value |

Expanded form | 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 |

Expanded notation | 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) + |

Expression | a mathematical phrase, with no equal sign or comparison symbol, that may contain a number(s), an unknown(s), and/or and operator(s) |

Factor | a number multiplied by another number to find a product |

Fluency | efficient application of procedures with accuracy |

Front–end method | a method for estimating a number in which the first digit of a number is retained and all remaining digits are changed to zero |

Numeral | a symbol used to name a number |

Numeric expression | a mathematical phrase, with no equal sign, that contains numbers and an operator(s) |

Order of operations | the rules of which calculations are performed first when simplifying an expression |

Parentheses and brackets | symbols to show a group of terms and/or expressions within a mathematical expression |

Place value | the value of a digit as determined by its location in a number, such as ones, tens, hundreds, one thousands, ten thousands, etc. |

Positive rational numbers | the set of numbers that can be expressed as a a over b, where a > 0 and b > 0 |

Prime number | a whole number greater than 1 with exactly two factors, 1 and the number itself |

Product | the total when two or more factors are multiplied |

Quotient | the size or measure of each group or the number of groups when the dividend is divided by the divisor |

Rounding | 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 |

Standard form | the representation of a number using digits (e.g., 985,156,789.782) |

Strip diagram | a linear model used to illustrate number relationships |

Whole numbers | the set of counting (natural) numbers and zero {0, 1, 2, 3, ..., n} |

Word form | 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) |