Arithmetic Flashcards
decimals
adding/subtracting decimals
line up the decimal points
decimals
multiplying decimals
keep track of the number of digits to the right of each decimal point and add that in at the end
decimals
dividing
move the decimal to make an integer and move the decimal the same number of places in the number you are dividing into (dividend). the answer has the decimal in the same place as the dividend
Any number raised to the exponent 0 is?
1
except 0 raised to the 0 power, which is undefined
Exponents
negative exponents
use reciprocal (take out the negative and put it under 1)
Exponents
multiplying powers with the same base
add exponents
Exponents
divide powers with the same base
subtract the exponents
Exponents
when adding or subtracting bases
CANNOT combine exponents
how do you raise a power to a power?
(32)3 = 36
Multiply the exponents
how do you raise a product in parenthesis to a power?
distribute the power over both factors
(x2 y4) = x2x3 y4x3 = X6y12
A number between 0-1 gets larger or smaller when raised to a higher power?
smaller
(1/3)4 =
1/3 x 1/3 x 1/3 x 1/3 = 1/81
Is a negative numnber raised to an even power negative or positive?
A negative number raised to an even power becomes positive.
Is s negative number raised to an odd power negative or positive?
Negative
A negative number raised to an odd power remains negative
multiplication
3x8
24
multiplication
3x9
27
multiplication
4x7
28
multiplication
4x8
32
multiplication
4x9
36
multiplication
what is the rule for multiplying by 5?
divide the number by 2 and move the decimal over 1
multiplication
6x4
24
multiplication
6x7
42
multiplication
6x8
48
multiplication
6x9
54
multiplication
what is the rule for multiplying by 9?
multiply the number by 10 and subtract the number