Question

Find the value of given expression.

\(999999\frac{{985}}{{999}}{\rm{\;}} \times {\rm{\;}}999\)

1. 999666886
2. 998999986
3. 999989996
4. 998899999

Answer 1

Correct Answer - Option 2 : 998999986

Calculation:

\( \Rightarrow \;999999\frac{{985}}{{999}}\; \times \;999\) 

\( \Rightarrow \left( {1000000 - 1} \right)\frac{{985}}{{999}}\; \times \;999\) 

\( \Rightarrow \left( {\frac{{999000000 - 999\; + \;985}}{{999}}} \right)\; \times \;999\) 

\( \Rightarrow \left( {\frac{{999000000 - 14}}{{999}}} \right)\; \times \;999\) 

\( \Rightarrow \left( {\frac{{998999986}}{{999}}} \right)\; \times \;999\) 

⇒ 998999986

∴ Required answer is 998999986