Answer: (10) 3.2 (11) option 2 (12) option 4
(13) Distributive (14) Associative
Step-by-step explanation:
10) "Absolute value" makes the number positive.
- |-4| + |-7.2|
= - 4 + 7.2
= 3.2
11) "Opposite" changes the sign.
the opposite of [tex]-\sqrt{\dfrac{2}{5}}[/tex] is [tex]+\sqrt{\dfrac{2}{5}}[/tex]
12) Reciprocal means "flip" the fraction
the reciprocal of [tex]-\sqrt{\dfrac{2}{5}}[/tex] is [tex]-\sqrt{\dfrac{5}{2}}[/tex]
13) a(b + c) = ab + ac is the Distributive Property
[tex]-\sqrt5(2+X)[/tex]
= [tex]-\sqrt5(2) -\sqrt5(X)[/tex]
= [tex]-2\sqrt5 -X\sqrt5[/tex]
14) a · (b · c) = (a · b) · c is the Associative Property
[tex]20(4\sqrt5)[/tex]
= [tex](20\cdot 4)\sqrt5[/tex]
