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Round off or add zeros to the following calculated answers to give a final answer with three significant figures: (2.2)

a. 58.703mL

b. localid="1652069638449" 3×10-3s

c. 0.010826g

d. 1,7484×103ms

Short Answer

Expert verified

a) The number 58.703mLwith three significant figures is determined as 58.7g

b) The number 3×10-3swith three significant figures is determined as 3.00×10-3s

c) The number0.010826gwith three significant figures is determined as0.0108g

Step by step solution

01

:Introduction (part a )

The given is the numbers with significant figures

The objective is to round off the numbers and write with three significant figures

02

Explanation (part a)

a.

To write the number 58.703gdrop 3 without increasing the digit 7 by one with three significant figures since the first falling digit 0 is less than 5..

58.703g=58.7g3significant figuresdrop 03,0<5

Thus, the number 58.703g with three significant figures will be 58.7g.

03

Introduction (part b)

The given is the numbers with significant figures

The objective is to round off the numbers and write with three significant figures

04

Explanation (part b)

b.

To write the number 3×10-3sAdd two zeros after the decimal in the case of three significant digits 3×10-3sAdd two zeros after the decimal in the case of three significant digits 3×10-3s=3.00×10-3s(3 significant figures)

So, the number 3×10-3swith three significant figures will be 3.00×10-3s.

05

Introduction (part c)

The given is the numbers with significant figures

The objective is to round off the numbers and write with three significant figures

06

Explanation (part c)

C.

Write the number 0.010826g with three signiflcant flgures, drop 26 without increase the digit 8 by one because flrst dropping digit 2 is less than 5 .

0.010826g=0.0108g3significant figuresdrop26,2<5

So, the number 0.010826g with three signiflcant flgures will be 0.0108g.

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