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 #1
avatar+270 
0
Apr 30, 2015
 #7
avatar+1693 
+8

@EinsteinJr:/  I used that site to refresh my memory; I've learned that stuff some 50 years ago but have never used it since.

@Melody:/  It only seems complicated, but it is not. After you went through all the steps, you'll be able to do it. It is fun!

Calculating square root of 645 without a calculator

2  
6 .45
 - 4  
2 45
  2  
  6 .45
   - 4  
(4 _) 2 45
  2  
  6 .45
   - 4  
(45) 2 45
Square the 2, giving 4, write that underneath the 6, and subtract. Bring down the next pair of digits. Then double the number above the square root symbol line (highlighted), and write it down in parenthesis with an empty line next to it as shown. Next think what single-digit number something could go on the empty line so that forty-something times somethingwould be less than or equal to 245.
45 x 5 = 225
46 x 6 = 276, so 5 works.
  2

5

 
  6 .45 .00
   - 4    
(45) 2 45  
  - 2 25  
    20 00
  2

5

 
  6 .45 .00
   - 4    
(45) 2 45  
  - 2 25  
(50_) 20 00
       
  2

5

. 3
  6 .45 .00
   - 4    
(45) 2 45  
  - 2 25  
(503) 20 00
       
Write 5 on top of line. Calculate 5 x 45, write that below 245, subtract, bring down the next pair of digits (in this case the decimal digits 00). Then double the number above the line (25), and write the doubled number (50) in parenthesis with an empty line next to it as indicated: Think what single digit numbersomething could go on the empty line so that five hundred-something times somethingwould be less than or equal to 2000. 503 x 3 = 1509
504 x 4 = 2016, so 3 works.
  2

5

. 3  
  6 .45 .00 .00
   - 4      
(45) 2 45    
  - 2 25    
(503) 20 00  
  15 09  
   

4

91 00
  2

5

. 3  
  6 .45 .00 .00
   - 4      
(45) 2 45    
  - 2 25    
(503) 20 00  
  15 09  
(506_) 

4

91 00
  2

5

. 3 9
  6 .45 .00 .00
   - 4      
(45) 2 45    
  - 2 25    
(503) 20 00  
  15 09  
(506_)  4 91 00
Calculate 3 x 503, write that below 2000, subtract, bring down the next digits. Then double the 'number' 253 which is above the line (ignoring the decimal point), and write the doubled number 506 in parenthesis with an empty line next to it as indicated: 5068 x 8 = 40544
5069 x 9 = 45621, which is less than 49100, so 9 works.

Thus to one decimal place, 645 = 25.4

Apr 30, 2015
 #4
avatar+3693 
+5
Apr 30, 2015
 #27
avatar+118723 
0

@@ End of Day Wrap   Thurs 30/4/15  Sydney,   Australia Time   2:22 am  (Really Fri)    ♪ ♫

 

Hi all,    

 

We have a lot of fantastic answerers these days.  Here you all are for today :)

TitaniumRome, Zacismyname, CPhill, zegroes, DarkBlaze347, HeatherF, Badinage, Heureka, Geno3141, MathsGod1, EinsteinJr, Alan, MaddiB926, Shaniab29544, Brodude, Civonamzuk, Mellie, ShadowBolt04 and Alfje. Thank you all   

 

Rosala is still experiencing some site problems, can anyone help her?      Rosala's Site problem

If you would like to comment on other site issues please do so on the Lantern Thread   Thank you.    

 

Interest Posts:

 

1)     Member discussion of the forum                               Thanks  to a number of members  

2)     Ghosts in the site                                                   Zegroes et al    

3)     Can you spot the error ?                                          Thanks EinsteinJr

4)    Probability - arrival times                                        Thanks CPhill

5)    Surface area and volume of a Pentagonal prism          Melody

6)    Forming and solving equations                                 Thanks CPhill and Rosala

7)    Gravitational Force between 2 b***s                           Thanks Geno

8)    Gravity exerted by the Earth                                    Thanks Heureka

9)    Time and special relativity                                       Thanks Alan

10)  Zeros of quadratic polynomials                                 Melody and Alan

11)  Combination and Pascal's triangle                             Thanks Heureka

12)  Probability and colours  (A Mellie special)                    Thanks CPhill

13)  Confusing piggy bank                                               Melody

14)  Equation Solutions                                                   Melody

15)  Horse trough rates continues                                     Alan and CPhill

      

                    ♫♪  ♪ ♫                                ♬ ♬ MELODY ♬ ♬                                 ♫♪  ♪ ♫

Apr 30, 2015
 #9
avatar+752 
+3
Apr 30, 2015
 #18
avatar+118723 
0

Fri 1/5/15

FTJ means "For the Juniors"

1)   Social post for the juniors     

2)   Fun for the junior members                                                   Thanks TitaniumRome

3)   This one is just for the mathematicians - it's hilarious           A huge thanks to all the youth involved. 

4)   Graph transformations - A great peice of work by BrittanyJ.      Thank you

5)   Ideas for learning tables                                                        Thanks MathsGod1 and Melody

6)   Probability, Lollies and children another Mellie special.                Melody

7)   Probability2                                                                           Melody

8)   Birth year problem                                                                 Melody

9)   Number challenge                                                                   Not answered.

10)   Using the web2 calc for finding roots                                       Thanks Alan

11)  Unanswered Probability questions

      

                    ♫♪  ♪ ♫                                ♬ ♬ MELODY ♬ ♬                                 ♫♪  ♪ ♫

Apr 30, 2015
 #3
avatar+752 
+3
Apr 30, 2015
 #7
avatar+1222 
+5
Apr 30, 2015

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