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Digit . The Symbols used to show numbers: 0,1,2,3,4,5,6,7,8,9. Standard Form. A number written with commas separating groups of three digits starting from the right Ex: 2,000. Expanded Form. A way to write a number that shows the place value of each digit. Ex: 3,562 would look like:
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Digit • The Symbols used to show numbers: • 0,1,2,3,4,5,6,7,8,9
Standard Form • A number written with commas separating groups of three digits starting from the right • Ex: 2,000
Expanded Form • A way to write a number that shows the place value of each digit. • Ex: 3,562 would look like: • 3,000+500+60+2
Word Form • A number written in words using place value. • Ex: One Hundred and Forty Two = 142
Equivalent Decimals • Decimals that name the same amount • Ex. 0.7=0.70
Commutative Property of Addition • The order of the addends can be changed and the sum remains the same. • Ex: 3+7=7+3
Associative Property of Addition • Addends can be regrouped and the sum remains the same. • Ex: 1+(3+5)= (1+3)+5
Compatible Numbers • Numbers that are easy to compute mentally.
Compensation • Adjusting one number of an operation to make computation easier and balancing the adjustment by changing the other number. • Ex: 48+17= 65 or 50+15= 65
Rounding • A process that determines which multiple of 10, 100, 1,000, 10,000 etc. a number is closest to.
Commutative Property of Multiplication • The order of factors can be changed and the product remains the same. • Ex: 3x5=5x3
Associative Property of Multiplication • Factors can be regrouped and the product remains the same. • Ex: 2x(4x10)= (2x4)x10
Identity Property of Multiplication • The Product of any number and 1 is that number • Ex: 100 x 1=100
Zero Property of Multiplication • The product of any number and 0 is 0 • Ex: 2000 x 0= 0
Factors • Numbers that are multiplied to get a product. • Ex: 9 x 9 = 81
Product • The number that is the result of multiplying two or more numbers.
Multiple • The product of a given whole number and any other whole number.
Overestimate • The result of using larger numbers to estimate a sum or product. The estimate is greater than the actual answer.
Underestimate • The result of using smaller numbers to estimate a sum or product. The estimate is smaller than the actual answer.
Partial Product • Products found by breaking one of the factors into ones, tens, hundreds, and so on, and then multiplying each of these by the other factor.
Dividend • The number to be divided. • Ex: 50/10=5
Divisor • The number used to divide another number. • 50/10= 5
Quotient • The answer to a division problem.
Remainder • In division, the number that is left after the division is complete
Fraction • A symbol such as 2/3, 5/1, or 8/5, used to name a part of a whole, part of a set, a location on a number line, or division of a whole number.
Mixed Number • A number that has a whole number part and a fractional part
Improper Fraction • A Fraction whose numerator is greater than or equal to its denominator.
Benchmark Fractions • Common fractions used for estimating such as 2/3 and 3/4
Equivalent Fractions • Fractions that name the same part of a whole region, length, or set. • Ex: 1/3=2/6
Factor Pair • A pair of whole numbers whose product equals a given whole number.
Divisible • A whole number is divisible by another number if there is no remainder after dividing.
Prime Number • A whole number greater than 1 that has exactly two factors, 1 and itself.
Composite number • A whole number greater than on that has more than two factors.
Prime Factorization • The process of writing a whole number as a product of its prime factors.
Factor Tree • A diagram that shows the prime factorization of a composite number.
Common Factor • A number that is a factor of two or more given numbers.
Greatest Common Factor • The greatest common factor( GCF) of two numbers is the greatest number that is a factor of both numbers.
Simplest Form • A fraction is in simplest form when its numerator and denominator have no common factor other than 1.
Least Common Denominator (LCD) • The least common multiple of the denominators of two or more fractions.
Variable • A letter, such as n, or a symbol that stands for a number in an expression or equation.
Algebraic Expression • A mathematical phrase involving a variable or variables, numbers, and operations.
Equation • A number sentence that uses an Equal sign to show that two expressions have the same value.
Line Segment • Part of a line having two endpoints.
Ray • A part of a line that has one endpoint and extend forever in one direction.
Parallel Lines • In a plane, lines that never cross and stay the same distance apart.
Intersecting Lines • Lines that pass through the same point.
Perpendicular Lines • Two lines that intersect to form right angles.
Point • An exact location in space.
Line • A set of points that goes on forever in two directions.
Plane • An endless flat surface.