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Q II)  Solve the following

a) Find the sum:

a) 3654.096 + 12.365 + 992.113

                    3654.096

+                  0012.365

+                  0992.113

----------------------------

                    4658.478                   

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b) 3/2 + 1/2 = (3+1)/2 = 4/2 = 2

b) Find the product of

a) 32.3 x 5.81 = 187.663

Calculation:

First multiply 323 x 581

Then add decimal point after 3 digits because in 32.3 decimal is after one digit and in 5.81 it is after 2 decimal)

b) 4.38 x 1.7 = 7.446

c) Divide the number

a) 89.065 / 5

     1 7. 813

------------------

5 |  89 .065 

-    5

-------------------

      39  

-     35

-------------------

         4 0 

-        40

------------------

            06 

-          05

--------------------

              15 

-             15

----------------

                00 

 

 

 

d) Find the LCM using prime factorization 36, 42 , 30

LCM using prime factorization can be solved using two methods

i) Factor tree which is little bit lengthy

ii) Following method which is more prevalently used:

 

2 |  36    42    30

 2  |   18    21    15

 3  |     9    21     15

  3 |     3     7       5

 5  |      1    7       5

 7  |      1     7      1

    |       1    1      1 

 

Here you keep on dividing till you get 1 1 1 as last numbers.

LCM = 2 x 2 x 3 x 3 x 5 x 7 = 1260

 

 

 

 

 

e) Continue the pattern by making a 45 degree turn in the anti clockwise direction

 

pattern1