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Math6a

chapters 1-5 vocabulary

writing a number using one of the ten digits for each place value example: 68,402 Standard form
a number written in a form that shows the value of each of its digits example: 582= 500 + 80 + 2 expanded form
writing the prime factoriztion of a number using exponents example: 16 = 2^4 (2 to the 4th power) exponential form
when writing a number in exponential form, it is the factor that is raised to a power example: 2^4, the number 2 base
when writing a number in exponential form, it is the number that tells how many times the base is used as a factor exponent
a number raised to the second power squared
a number raised to the third power cubed
a number written in a way that shows the value of each of its digits using exponents example: 64 = 6 * 10^1 + 4 * 10^0 expanded form with exponents
a method for estimating when the numbers appear to group around a common number example: 42 + 45 + 46 ~ 45 + 45 + 45 = 135 clustering
numbers that "go together" because they are easy to compute mentally compatible numbers
changing the order of two numbers does not change the answer when you add or multiply example: 8 * 9 = 9 * 8 commutative properties
changing the grouping of numbers does not change the answer when you multiply or add example: (2*3)*5=2*(3*5) associative properties
when the factor on the outside of the parentheses is multiplied by each number inside the parentheses example: 3(4 + 6)= 3*4 + 3*6 distributive
the sum of 0 and any number is that same number example: 8 + 0 = 8 identity property of addition
the product of 1 and any number is that same number example 45 * 1 = 45 identity property of multiplication
any number multiplied by 0 results in a 0 example: 9*0=0 multiplication property of zero
a letter than stands for an unknown number in an expression or an equation example: 5x variable
a number in exponential form where the base is ten and the exponent is a negative number representing a fraction or a decimal negative powers of 10
a number expressed as a product of a number greater than or equal to 1, but less than 10 and a power of 10 scientific notation
the product of a number and a whole number greater than zero example: 4: 4, 8, 12, 16, 20 24 ..... multiple
any numbers multiplied to form a product example: 2 * 3 factor
any number that has only two factors, 1 and that number itself example: 17 = 1*17 prime number
any number that has more than two factors example: 9 = 1, 3, 9 composite number
the expression of a composite number as the product of its prime factors example: 30 = 2 * 3 * 5 prime factorization
the largest factor that two or more numbers share example: 12 and 20 = 4 greatest common factor GCF
for two or more numbers the smallest number except for zero that is a multiple of each number example: 6 and 9 = 18 least common multiple LCM
a common fraction that names a number less than one example: 1/2 proper fraction
a fraction that names a number that is equal to or greater than 1 example: 8/7 improper fraction
a number that has both a whole number and a fractional part example: 8 1/4 mixed numbers
a decimal that ends example 3/8 = 0.375 terminating decimal
a decimal number with a digit or a group of digits that repeat on and on, without end example: 1/3 = 0.333333........... repeating decimal
two numbers who product is 1 example 2/3 * 3/2 = 1 reciprocal
Created by: ahastings