oct 4th: test #1 Flashcards
what is multiplication?
fast adding.
how to multiply decimals?
deal with decimals, count the number of digits after the decimal and then move decimal in answer same number of times.
divisibility rule for 2?
if the last digit is even.
divisibility rule for 3?
if the sum of the # is divisible by 3.
divisibility rule for 4?
if the last two # are divisible by 4.
divisibility rule for 5?
if the last # are divisible by 5.
divisibility rule for 6?
if the # meets the rule for 2 + 3 eg. 74, 484, 2688.
divisibility rule for 9?
if the sum of the # are divisible by 9.
divisibility rule for 8?
if the last 3 # are divisible by 8.
divisibility rule for 10?
if the # ends in 0.
divisibility rule for 11?
if the sum of every other digit = the sum of the remaining number
eg. 3856
divisibility rule for 12?
if the # follows the rules for 3 + 4. eg. 216
divisibility rule for 25?
if the last two digits are either 00, 25, 50, or, 75.
prime number:
only has 1 set of factors, can only be divided by 1 and itself.
composite number:
has more than 1 set of factors, can be divided by at least three numbers
example of prime numbers:
2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
what makes up a power?
a base and an exponent.
what is a power?
a numerical expression that shows repeated multiplication.
what does the base do (power)?
the number being multiplied.
what does the exponent do (power)?
the amount of times to multiply the base.
how to multiply powers?
if the base is the same then add the exponents
eg = 4 to the power of 3 + 4 to the 5 = 4 to the power of 8.
how to multiply powers when the base and exponents aren’t the same?
if the bases are different you must solve/calculate differently.
how to divide powers?
if the bases are the same then subtract exponents.
eg. 7 to the power of 7 divided by 7 to the power of 4 = 7 to the power of 3.
how to divide powers with brackets?
when dealing with brackets, you multiply the 2 exponents together.