Question

If 10/7 (1 - 2.43 X 10¯3 ) = 1.417 + x, then x is equal to:

Answer 1

Given: $\dfrac{10}7 (1 - 2.43 \times 10^{-3} ) = 1.417 + x$

To find : x

Consider given equation:

$\dfrac{10}7 (1 - 2.43 \times 10^{-3} ) = 1.417 + x$

here $2.43\times10^{-3}=2.43\times\dfrac{1}{1000}=0.00243$

So we get , $\dfrac{10}7 (1 - 0.00243 ) = 1.417 + x$

$\Rightarrow\dfrac{10}{7}(0.99757)=1.417+x\\\\\Rightarrow x=1.4251-1.417\\\\\Rightarrow x= 0.0081= 8.1\times10^{-4}$

Hence, $x= 8.1\times10^{-4}$