Vocab
When you divide, you are finding the _____.
Associative Property, Commutative Property, inverse operations, rational number, quotient, product
quotient
-1.5 times 0.4
-0.60
-1.5 divided by 0.3
-5
1/2 of 1/2
1/4
What is the multiplicative inverse property?
A non-zero real number times its reciprocal is equal to 1. (2/3 x 3/2 = 1)
Any number as a (whole number, fraction, decimal)
Associative Property, Commutative Property, inverse operations, rational number, quotient, product
rational number
(-5)(-5)(0.02)(0.6) + -11.5
0.3 + -11.5 = 11.2
-60 divided by 8
-7.5 or -7 1/2
1/2 changed to a decimal
.5
What is the additive inverse property?
A number plus its opposite is equal to zero (-1 + 1 = 0)
How do you convert a fraction to a decimal?
You can divide the numerator by the denominator using long division, or get a power of 10 in the denominator using the Identity Property. (Example: 1/2 times 5/5 is 5/10 or 0.5)
(-1/3) (3/5) (-5/7)
(-3/15)(-5/7)
=15/105
=1/7
-27/5
-5.4
1/8 as a decimal
.125
What property allows you to change the order of the addends?
Commutative Property of Addition
Property states that you can switch the order around and still get the same product answer.
Commutative Property
(.5) (-.5) (-4) (-4) (-1)
=4
(-.25)(16)(-1)
(-.25)(-16)
16 divided by 4
=4
-3/4 divided by 3/8
-2
1/9 changed to a decimal
.1 repeating
What property lets you change the order of the factors?
Commutative Property of Multiplication
Property states that you can multiply anything by 1 and it doesn't change the value. (Example: 1/2 times 5/5 is 5/10)
Identity Property
(3.5) (-1/9) (-5)
=17.5/9
-.72/.9
-.8
9/16 changed to a decimal
.5625
What must be done first? Why?