Identify the rules of algebra illustrated from left to right by the following statement. $\frac { 1 } { 3 } ( 3 t ) = \left( \frac { 1 } { 3 } \cdot 3 \right) t = 1 \cdot t = t$
A)associative property of multiplication; multiplicative inverse property; multiplicative identity property
B)commutative property of multiplication; multiplicative inverse property; multiplicative identity property
C)associative property of multiplication; multiplicative identity property; multiplicative inverse property
D)commutative property of multiplication; multiplicative identity property; multiplicative inverse property
E)distributive property; multiplicative identity property; multiplicative inverse property

Question

Quizplus · Accepted Answer

The statement illustrates the associative property of multiplication ($\frac{1}{3}(3t) = (\frac{1}{3} \cdot 3)t$), the multiplicative inverse property ($\frac{1}{3} \cdot 3 = 1$), and the multiplicative identity property ($1 \cdot t = t$).

Identify the Rules of Algebra Illustrated from Left to Right 13(3t)=(13⋅3)t=1⋅t=t\frac { 1 } { 3 } ( 3 t ) = \left( \frac { 1 } { 3 } \cdot 3 \right) t = 1 \cdot t = t31​(3t)=(31​⋅3)t=1⋅t=t

Identify the Rules of Algebra Illustrated from Left to Right $\frac { 1 } { 3 } ( 3 t ) = \left( \frac { 1 } { 3 } \cdot 3 \right) t = 1 \cdot t = t$