## anonymous 3 years ago Simplify, showing your steps. Tell the property you used in each step. one fourth times (1 times 4) plus (negative 4 plus 4)

1. anonymous

We have: $\frac{1}{4}(1\cdot4)+(-4+4)$Definition of Additive inverse: $\frac{1}{4}(1\cdot4)+(-4+4)=\frac{1}{4}(1\cdot4)+0$Definition of additive identity: $\frac{1}{4}(1\cdot4)+0=\frac{1}{4}(1\cdot4)$Definition of multiplicative identity: $\frac{1}{4}(1\cdot4)=\frac{1}{4}(4)$Definition of multiplicative inverse: $\frac{1}{4}(4)=1$And we are done.

2. anonymous

thank you!