Question

Study the following pattern and write the next two steps for given pattern:
$$\begin{gathered} 43\times 9=43(10-1)=430-43 \\ 43\times 99=43\times (100-1)=4300-43 \\ 43\times 999=43\times (1000-1)=43000-43 \\ \_\_\_\times \_\_\_\_=\_\_\times \_\_\_\_=\_\_\_\_\_-\_\_\_\_\_\_ \\ \_\_\_\times \_\_\_\_=\_\_\times \_\_\_\_=\_\_\_\_\_-\_\_\_\_\_\_ \end{gathered}$$

Answer 1

In the pattern, we observe :
$$\begin{gathered} 43\times 999....uptonthterm=43\times (1000...uptonthterm-1)=4300...nthterm-43 \\ Sothenextstepis: \\ 43\times 9999=43\times (10000-1)=430000-43 \\ Similarlythenextstepis: \\ 43\times 99999=43\times (100000-1)=4300000-43 \\ Hencethetwonextstepare: \\ 43\times 9999=43\times (10000-1)=430000-43 \\ 43\times 99999=43\times (100000-1)=4300000-43 \end{gathered}$$