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Math6a
chapters 1-5 vocabulary
Question | Answer |
---|---|
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 |