Question

Find the approximate value of the following
expression (in whole number):
349 x 51 + (632 - 31)​

Answer 1

Answer:

18,400

Step-by-step explanation:

Q - 349 × 51 + ( 632-31 )

= 349 × 51 + 601

= 17799 + 601

= 18400

Answer 2

Consider y=x41.  Let x=256 and Δx=−1. 

Then,

Δy=(x+Δx)41−x41=(255)41−(256)41=(255)41−4

 

⇒(255)41=4+Δy

Now, dy is approximately equal to Δy and is given by,

dy=(dxdy)Δx=4(x)431(Δx)        [as y=x41]

=4(256)3/41(−1)=4(64)1(−1)=−2561=−.0039

Hence, the approximate value of (255)41 is 3+(−0.0039)=3.996.