A personalized and smart learning plan
Take a test on your terms and definitions
Scientifically backed study method
See how quickly you can match all your cards
Study terms and definitions
Looks like no one added any tags here yet for you.
View all (35)
New cards (35)
is a collection of distinct "things".
is the number of things in a set
the quantity that a digit in a number represents depends - in a very specific way- on the position of the digit in the number
shows how it is composed of its place value parts. ex, 536 is 5 hundred 3 tens 6 ones
is a line on which we have chosen one location as 0 and another location as 1.
the essence of the base ten systems was that every time we move to the left, we multiply by 10
the choice of a unit
-N as the "opposite" of N
is the distance of M (a number) from 0.
Explain greater than and less than numbers
look at the place value of the digits
determine if the number is positive or negative
the number line explanation
explain how to round
if the digit to the right of the place value we are being asked to round is 5 or greater then we round the digit and make every number after it 0.
numbers that are the product of counting numbers
a number that divides another number evenly with no remainder
a number that is divisible by 2 with no remainder
a number that is not evenly divisible by 2
the answer you get from dividing two numbers
the number you divide by
a method for checking to see if a counting number is divisible by another counting number without actually carrying out the division.
divisibility test for 2
If the number is even, yes. if the number is odd, no
divisibility test for 10
if the ones digit is 0, yes. if the ones digit is not 0, no.
divisibility test for 5
if ones digit is 0 or a 5, yes. if ones digit is not a 0 or a 5, no
divisibility test for 3
add the digits of the number. if the sum of the digits is divisible by 3, yes
divisibility test for 9
add the digits of the number. if the sum is divisible by 9, yes.
divisibility test for 4
only consider the last two digits. if the number formed by the last two digits is divisible by 4 then yes.
are the counting numbers that are divisible by only 1 and themselves.
what are the first few prime numbers?
2,3,5,7,11,13,17, 19,23,29,31, and 37
are counting numbers that are not prime.
how to find the list of primes?
Sieve of Eratosthenes - start with 2 and cross out every 2nd number, then do 3 and every 3rd number, then 5, and every 5th number ....
division by prime numbers to find out if the given number is prime. stop when your quotient (your answer) is smaller than the divisor (the number you divide by) .
is a diagram that shows how to factor a number until the prime numbers are reached.
greatest common factor
is the greatest counting number that is a factor of all the given counting numbers
least common multiple
is the smallest counting number that is a multiple of all the given counting numbers
The slide method
make a table with the two numbers in separate columns with one extra column in the front
write a common factor in the first column and the quotient (so your dividing) in the row beneath your initial numbers.
repeat this process until the only common factor you have is 1
GCF = multiply all the common factors (the number in the first column) LCM = multiply all the common factors and the last row of quotients
how to find the GCF of fractions
find the greatest common factor of the top and bottom number of the fraction
divide the top and bottom numbers by the GCF
how to find the LCM of fractions
to add fractions look at the bottom of the fraction and find the least common multiple of the two numbers
then create new fractions with the LCM ( multiply the original fraction with the number you multiplied by to get the LCM.)
then add the product of both the fraction equations.