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Middle Grades Math and Pre-Algebra

カード 55枚 作成者: A.cheng (作成日: 2014/01/05)

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  • 1

    Variable

    補足(例文と訳など)

    答え

    • Letter that represents a number; variable amounts may change

    解説

  • 2

    Constant

    補足(例文と訳など)

    答え

    • Numeric value that does not change

    解説

  • 3

    Additive Inverse

    補足(例文と訳など)

    答え

    • (mathematics) one of a pair of numbers whose sum is zero

    解説

  • 4

    Coefficient

    補足(例文と訳など)

    答え

    • A number multiplied by a variable in an algebraic expression; a constant number that serves as a measure of some property or characteristic

    解説

  • 5

    Coordinate Plane (Coordinate Grid)

    補足(例文と訳など)

    答え

    • The plane formed by 2 number lines that intersect at their zero points dividing the plane into 4 quadrants; A coordinate system formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.

    解説

  • 6

    Irrational Number

    補足(例文と訳など)

    答え

    • a real number that cannot be expressed as a rational number

    解説

  • 7

    Real Number

    補足(例文と訳など)

    答え

    • all rational or irrational numbers; real numbers can be represented on the real number line

    解説

  • 8

    Rational Number

    補足(例文と訳など)

    答え

    • A number that can be written as a/b where a and b are integers, but b is not equal to 0; an integer or a fraction; examples: 6 can be expressed as 6/1; 0.5 can be expressed as 1/2.

    解説

  • 9

    Reciprocal

    補足(例文と訳など)

    答え

    • (mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; a fraction that has been flipped. The reciprocal of 3/4 is 4/3.

    解説

  • 10

    Multiplicative Inverse

    補足(例文と訳など)

    答え

    • The reciprocal of a number.

    解説

  • 11

    Like Terms

    補足(例文と訳など)

    答え

    • Expressions that contain the same variables to the same power

    解説

  • 12

    Variable

    補足(例文と訳など)

    答え

    • a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity; in the expression 2x + 3, x is the variable

    解説

  • 13

    Algebraic Expression

    補足(例文と訳など)

    答え

    • math phrase that uses variables, numbers and operation symbols

    解説

  • 14

    Order of Operations

    補足(例文と訳など)

    答え

    • the order in which operations in an expression to be evaluated are carried out. 1. parentheses 2. exponets 3. multiplication and divison 4. addition and subtraction

    解説

  • 15

    Numerical Expression

    補足(例文と訳など)

    答え

    • A mathematical phrase involving one or more terms and operations

    解説

  • 16

    Absolute Value of a real number or |x|

    補足(例文と訳など)

    答え

    • The distance from zero to the real number on a number line.

    解説

  • 17

    Associative Property of Addition

    補足(例文と訳など)

    答え

    • changing the grouping of terms will not change the sum, (a + b) + c = a + (b + c); ex: (5+3) + 1 = 5 + (3 + 1)

    解説

  • 18

    Associative Property of Multiplication

    補足(例文と訳など)

    答え

    • States that changing grouping of factors does not change the product. (a*b)c = a(b*c); ex: (2 * 6) * 7 = 2 * (6 * 7)

    解説

  • 19

    Commutative Property of Addition

    補足(例文と訳など)

    答え

    • For any number a and b, a + b = b + a

    解説

  • 20

    Commutative Property of Multiplication

    補足(例文と訳など)

    答え

    • Changing the order of the factors does not change the product; for example 10 x 9 = 9 x 10; a * b = b * a

    解説

  • 21

    Distributive Property

    補足(例文と訳など)

    答え

    • a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac; ex: 4(3 + 8) = 4(3) + 4(8)

    解説

  • 22

    Additive Identity Property of Zero

    補足(例文と訳など)

    答え

    • The Zero Property of Addition. Adding 0 to a number leaves it unchanged; ex: 67+0=67, 67+0=67

    解説

  • 23

    Inverse Property

    補足(例文と訳など)

    答え

    • The operation which undoes an operation - the opposite operation: subtraction is the inverse of addition, addition is the inverse of subtraction; division is the inverse of multiplication, multiplication is the inverse of division, square root is the opposite of squaring a number

    解説

  • 24

    Ratio

    補足(例文と訳など)

    答え

    • A comparison of two quantities, may be directly represented by numbers and or variables

    解説

  • 25

    Ratio Form

    補足(例文と訳など)

    答え

    • Specific form of representing ratios - examples - a:b or 2:3

    解説

  • 26

    Verbal Ratio Form

    補足(例文と訳など)

    答え

    • Specific form of representing ratios - examples - a to b or 2 to 3

    解説

  • 27

    Fraction Form

    補足(例文と訳など)

    答え

    • Specific form of representing ratios - examples - a/b or 2/3 (denominator cannot be zero)

    解説

  • 28

    Integer

    補足(例文と訳など)

    答え

    • any of the natural numbers (positive or negative) or zero; any of the set of whole numbers and their opposites

    解説

  • 29

    Exponent

    補足(例文と訳など)

    答え

    • The number that indicates how many times the base is used as a factor

    解説

  • 30

    Numerical Expression

    補足(例文と訳など)

    答え

    • An expression that contains only numbers and operations (2 • 3) + 1

    解説

  • 31

    Equivalent Fractions

    補足(例文と訳など)

    答え

    • Fractions that name the same amount or part, 1/2 and 2/4 are equivalent fractions

    解説

  • 32

    Greatest Common Factor (GCF)

    補足(例文と訳など)

    答え

    • The largest common factor of two or more given numbers; The GCF of 27 and 45 is 9.

    解説

  • 33

    Improper Fraction

    補足(例文と訳など)

    答え

    • A fraction in which the numerator is greater than or equal to the denominator; examples: 5/5 or 7/4

    解説

  • 34

    Least Common Multiple (LCM)

    補足(例文と訳など)

    答え

    • The smallest number, other than zero, that is a multiple of two or more given numbers; The LCM of 10 and 18 is 90.

    解説

  • 35

    Prime Factorization

    補足(例文と訳など)

    答え

    • A number written as the product of its prime factors; examples: 10 = 2 • 5, 24 = 2^3 • 3 (^3 means the 3 is written smaller and to the upper right of 2).

    解説

  • 36

    Repeating Decimal

    補足(例文と訳など)

    答え

    • A decimal in which one or more digits repeat infinitely; The repeating portion of the decimal is shown with a short line drawn over the repeating numbers.

    解説

  • 37

    Terminating Decimal

    補足(例文と訳など)

    答え

    • A decimal number that ends or terminates; example: 6.75

    解説

  • 38

    Function

    補足(例文と訳など)

    答え

    • An input-output relationship that has exactly one output for each input; An equation written with two variables where only one output exists for each input; example: y = 2x +1

    解説

  • 39

    Linear Equation

    補足(例文と訳など)

    答え

    • An equation whose solutions form a straight line on a coordinate plane; example: y = 3x - 1

    解説

  • 40

    Linear Function

    補足(例文と訳など)

    答え

    • A function whose graph is a straight line.

    解説

  • 41

    Ordered Pair

    補足(例文と訳など)

    答え

    • A pair of numbers that can be used to locate a point on a coordinate plane.

    解説

  • 42

    Origin

    補足(例文と訳など)

    答え

    • The point where the x-axis and y-axis intersect on the coordinate plane; (0, 0).

    解説

  • 43

    Quadrant

    補足(例文と訳など)

    答え

    • The x- and y-axes divide the coordinate plane into four regions. Each region is called a quadrant.

    解説

  • 44

    Sequence

    補足(例文と訳など)

    答え

    • An ordered list or numbers; example: 2,4,6,8,10...

    解説

  • 45

    Factor

    補足(例文と訳など)

    答え

    • any of the numbers (or symbols) that form a product when multiplied together; 3 is a factor of 9

    解説

  • 46

    Multiple

    補足(例文と訳など)

    答え

    • the product of a quantity by an integer; example 24 is a multiple of 3 and 8

    解説

  • 47

    Product

    補足(例文と訳など)

    答え

    • a quantity obtained by multiplication; the answer to a multiplication problem

    解説

  • 48

    Quotient

    補足(例文と訳など)

    答え

    • the number obtained by division; the ratio of two quantities to be divided; the answer to a division problem

    解説

  • 49

    Proportion

    補足(例文と訳など)

    答え

    • statement that two fractions or ratios are equal

    解説

  • 50

    Similar

    補足(例文と訳など)

    答え

    • same shape, but different size

    解説

  • 51

    Scale

    補足(例文と訳など)

    答え

    • the ratio between the size of something and a representation of it

    解説

  • 52

    Scale Factor

    補足(例文と訳など)

    答え

    • The ratio of dimensions of the new image to those of the original figure

    解説

  • 53

    Scale Drawing

    補足(例文と訳など)

    答え

    • A diagram of an object in which the dimensions are in proportion to the actual dimensions of the object.

    解説

  • 54

    Indirect Measurement

    補足(例文と訳など)

    答え

    • A method of measurement that uses formulas, similar figures, and/or proportions.

    解説

  • 55

    Constant

    補足(例文と訳など)

    答え

    • a quantity that does not vary

    解説

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