Write the number in standard decimal notation 7 times 103 5

Write the number in standard decimal notation. (7 times 10^3) + (5 times 10^1) + (4 times 10^-1) + (9 times 10^-2)

Solution

Given that

( 7 x 10³ ) + ( 5 x 10¹ ) + ( 4 x 10^-1 ) + ( 9 x 10^-2 ) = ( 7 x 1000 ) + ( 5 x 10 ) + ( 4 x(1/10¹) ) + ( 9 x (1/10²) )

= ( 7 x 1000 ) + ( 5 x 10 ) + ( 4 x(1/10) ) + ( 9 x (1/100) )

= ( 7000 ) + ( 50 ) + ( 4 x 0.1 ) + ( 9 x 0.01 )

= 7000 + 50 + 0.4 + 0.09

= 7050.49

Therefore ,

( 7 x 10³ ) + ( 5 x 10¹ ) + ( 4 x 10^-1 ) + ( 9 x 10^-2 ) = 7050.49