Given the question in the question tab, we can use the distributive property to get our answer using the following steps:
Step 1:
[tex]\begin{gathered} 9\times81 \\ We\text{ can }make\text{ 81 as a sum of two numbers} \\ 81=80+1 \\ \text{Now we have, }9\times(80+1) \end{gathered}[/tex]Step 2: We carry out the distributive property on the new expression;
[tex]\begin{gathered} A\times(B+C)=(A\times B)+(B\times C) \\ \text{Where A=9, B=80, C=}1 \\ 9\times(30+51)=(9\times80)+(9\times1) \\ =720+9 \\ =729 \end{gathered}[/tex]Hence, the answer is (9x80)+(9x1)=729 which is option C.
