How many Significant digits are in the following? 1) 956044 6 2) 2.1390_5 3) 043900 3 4) 0.00500_3 5) 3500 7) 0.40001 5 4 6) 5.901 x 104 4 B) 1.0700 x 10 9) 7550. 10) 36070000 Round off the following numbers to three significant digits: 11. 120000 14. 4.53619 12. 5.457 13. 0.0002739 15. 63.659 16. 986493

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 30E
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LC --
NE # ,ADDITING & MULTIPLY SIG FIGS.docx
ormal
Arial
BI U
A. A -
10 -
How many Significant digits are in the following?
1) 956044 6
2) 2.1390_5
3) 043900
3
4) 0.00500_3
5) 3500
7) 0.40001 5
6) 5.901 x 104
B) 1.0700 x 103
9) 7550.
10) 36070000
Round off the following numbers to three significant digits:
11. 120000
12. 5.457
13. 0.0002739
14. 4.53619
15. 63.659
16. 986493
Significant Digits (continued)
Significant figures in derived quantities (Calculations)
In all calculations, the answer must be governed by the least significant figure employed.
ADDITION AND SUBTRACTION: The answer should be rounded off so as to contain the same number of
decimal places as the number with the least number of decimal places. In other words, an answer can be
only as accurate as the number with the least accuracy.
Thus: 11.31 + 33.264 + 4.1 = 48.674
Rounded off to 48.7
MULTIPLICATION AND DIVISION: The answer should be rounded off to contain the same number of
digits as found in the LEAST accurate of the values.
Thus: 5.282 x 3.42 = 18.06444
Rounded off to 18.1
Perform the following operations giving the proper number of significant figures in the answer:
Transcribed Image Text:M Ne 6Se O Co htt E An A SIG W x W An P Co O Ne X Ed C Cle htt O Cla For Docs, Sheets & Slides | chrome-extension://gbkeegbaiigmenfmjfclcdgdpimamgkj/views/app.html LC -- NE # ,ADDITING & MULTIPLY SIG FIGS.docx ormal Arial BI U A. A - 10 - How many Significant digits are in the following? 1) 956044 6 2) 2.1390_5 3) 043900 3 4) 0.00500_3 5) 3500 7) 0.40001 5 6) 5.901 x 104 B) 1.0700 x 103 9) 7550. 10) 36070000 Round off the following numbers to three significant digits: 11. 120000 12. 5.457 13. 0.0002739 14. 4.53619 15. 63.659 16. 986493 Significant Digits (continued) Significant figures in derived quantities (Calculations) In all calculations, the answer must be governed by the least significant figure employed. ADDITION AND SUBTRACTION: The answer should be rounded off so as to contain the same number of decimal places as the number with the least number of decimal places. In other words, an answer can be only as accurate as the number with the least accuracy. Thus: 11.31 + 33.264 + 4.1 = 48.674 Rounded off to 48.7 MULTIPLICATION AND DIVISION: The answer should be rounded off to contain the same number of digits as found in the LEAST accurate of the values. Thus: 5.282 x 3.42 = 18.06444 Rounded off to 18.1 Perform the following operations giving the proper number of significant figures in the answer:
Expert Solution
Step 1

Given ,

     8) 1.0700×10^-3 

     9) 7550.

     10) 36070000

     11) 120000 

     12)  5.457 

     13) 0.0002739

     14) 4.53619 

     15) 63.659   

     16) 986493  

 

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