Question

◆Write in ascending order ;-

π , 22/7, 3.14.

◆Find the HCF of 65 and 117
Hcf = 65m-117
Find m .
What is the digit of unit place in 9power n where n is some interger??

#asap

Answer 1

Hey sis:
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Here is yr answer _________________________


1. π, 22/7, 3.14

=> 3.14, π , 22/7


2.HCF of 65 and 117

According to Euclid's algorithm

117=65x1+52

65=52x1+13

52=13x4+0


Therefore, the divisor ---- 13 is the HCF of 65 and 117


3. HCF=65m-117

here HCF=13.

So,

13 = 65m-117

13+117=65m

130=65m

m=130/65

m=2



4. The digit may be 1 or 9


Hope it hlpzzzz....

Answer 2

(a) little difference between π, 22/7 and 3.14
Value of π = 3.1415926535 8979323846 2643383279 50288419....
22/7 = 3.1428....

Now, can you arrange this in ascending order ?
of course you can , e.g., 3.14 < π < 22/7

(b) HCF of 65 and 117
Prime factors of 65 = 5 × 13
Prime factors of 117 = 3 × 3 × 13
Common factor = 13 , hence HCF = 13

Now, HCF = 65m - 117 = 13
⇒65m = 117 + 13 = 130
⇒m = 2

(c) 9ⁿ , where n is integers
Let n = 1 , then 9¹ = 9 ⇒ unit place = 9
Let n = 2 then, 9² = 81 ⇒unit place = 1
Let n = 3 then, 9³ = 729 ⇒unit place = 9

We see unit place possible only either 1 or 9 .
Hence, answer 1 or 9