Solve the Following:

$67\times 14-65\times 14$ (using the distributive property)

 I am a number between $20$ and $30$. If you divide $47$ and$92$by me, the remainders are $3$ and $4$, respectively.What number am I?

"The commutative property is true for subtraction". True or false? Give an example to support your answer.

 $56(4+2)=(56\times 4)+(56\times 2)$ is an example of _____.

The following an example of the commutative property of addition.

$12+32=32+12$

The following is an example of the associative property of addition.

$\mathrm{a}+(\mathrm{b}+\mathrm{c})=(\mathrm{a}+\mathrm{b})+\mathrm{c}$

 Identify the property as commutative, associative, or distributive.

 $$\begin{gathered} \mathrm{a}+\mathrm{b}=\mathrm{b}+\mathrm{a} \\ \mathrm{ab}=\mathrm{ba} \end{gathered}$$

 Identify the property as commutative, associative, or distributive.

 $$\begin{gathered} (\mathrm{a}+\mathrm{b})+\mathrm{c}=\mathrm{a}+(\mathrm{b}+\mathrm{c}) \\ (\mathrm{a}\times \mathrm{b})\times \mathrm{c}=\mathrm{a}\times (\mathrm{b}\times \mathrm{c}) \end{gathered}$$

 Identify the property as commutative, associative, or distributive.

 $$\begin{gathered} \mathrm{a}\times (\mathrm{b}+\mathrm{c})=(\mathrm{a}\times \mathrm{b})+(\mathrm{a}\times \mathrm{c}) \\ \mathrm{a}\times (\mathrm{b}-\mathrm{c})=(\mathrm{a}\times \mathrm{b})-(\mathrm{a}\times \mathrm{c}) \end{gathered}$$