Question

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

Answer 1

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.

Answer 2

thank you!