Question

How will you show that (17 x 11 x 2) + (17 x 1
1 x 5) is a composite
numbers.
Explain.
X
What is the last digit of 6".
Now, let us use the Fundamental Theorem of Arithmetic to explore real number
ve apply this theorem to find out when the decimal expansion of a rational mu
ating and when it is non-terminating, repeating. Second, we use it to prove the ima
y numbers such as 12, 13 and 15.
RATIONAL NUMBERS AND THEIR DECIMAL EXPANSIONS​

Answer 1

Given :   (17 x 11 x 2) + (17 x 1 1 x 5) is a composite  number  

To Find :  How will you show

Solution:

(17 x 11 x 2) + (17 x 1 1 x 5)

(17 x 11 x 2)  =(17 x 11) x 2

(17 x 1 1 x 5) = (17 x 11) x 5

= (17 x 11) x 2  +  (17 x 11) x 5

= (17 x 11) x  ( 2 + 5)

=  (17 x 11) x 7

= 17 x 11 x 7

more than 2 factors  hence Composite number

Numbers having more than two factor are known as composite numbers

Composite number is an integer which has atleast one factor other than 1 & number it self.

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