+0  
 
0
58
4
avatar+33 

1. An octopus told me that his underwater cave \( 245_{8}\) is years old. How many years is this in base ten?

 

2. What is the digit in the thousandths place of the decimal equivalent of \(3/16\)?

 

3.  Express \(\frac{0.\overline{12}}{0.\overline{321}}\) as a common fraction.

 

 

ty for the help

 Jun 24, 2021
 #1
avatar+121000 
+2

Here's  1

 

2(8)^2   + 4(8)    +   5   =

 

128  +  32   +  5

 

16510

 

cool cool cool

 Jun 24, 2021
 #2
avatar+121000 
+2

2.

            .1875

16   l   3000

           16

         ______

            140

            128

            ______

              120

              112

             ____ 

                  80

                  80

                ____

 

 

cool cool cool

 Jun 24, 2021
 #3
avatar+121000 
+1

Algorithm

(1)  drop the decimal

(2)  In the numerator :  Subtract  the  non-repeating part from the  repeating part

(3) In the denominator : Write the same  number of 9's  as  the digits in the  repeatnig part  and the  same  number of 0's  as  the non-repeating part

 

 

.12  (repeating )     =  (12  - 0)  / 99  =      12  / 99  =   4/33

.132 ( repeating)   = (321 - 0 )  / 99  =     321 / 99     107/33

 

4 / 33

______  =                 4   / 107  

107 33

 

 

cool cool cool

 Jun 24, 2021
edited by CPhill  Jun 24, 2021
edited by CPhill  Jun 24, 2021
 #4
avatar+33 
+1

Thanks CPhill! I appreciate the help laugh

Skripple  Jun 24, 2021

16 Online Users

avatar
avatar
avatar