Question

Round off the numbers 865250 and 37.46235 to four significant figures

And compute absolute error, relative error and percentage error in each case.​

Answer 1

Step-by-step explanation:

Round off the numbers 865250 and 37.46235 to four significant figures

And compute absolute error, relative error and percentage error in each case.

Answer 2

Answer:

Number 865250 rounded off to 4 significant figures : 865200

Absolute Error= 50

Relative Error=$6.71*10^{-5}$

Percentage Error= $6.71*10^{-3}$

Number 37.4625 rounded off to 4 significant figures : 37.46

Absolute Error= 0.00235

Relative Error=$6.27*10^{-5}$

Percentage Error= $6.27*10^{-3}$

Step-by-step explanation:

i.) Number 865250 rounded off to 4 significant figures: 865200

Absolute error = |$X-X_{1}$|= 865250-865200=50

Relative error=$|\frac{X-X_{1} }{X}|$= $\frac{50}{865250}$  =$6.71*10^{-5}$

Percentage error= Relative error *100=$6.71*10^{-3}$

ii.) Number 37.46235 rounded off to 4 significant figures: 37.46

Absolute error = |$X-X_{1}$|=37.46235-37.46 =0.00235

Relative error=$|\frac{X-X_{1} }{X}|$= $\frac{0.00235}{37.46235}$  =$6.27*10^{-5}$

Percentage error= Relative error *100=$6.27*10^{-3}$