without performing the actuall division method, find out it's product and state that it is terminating or non- terminating.
_ 13 /3125
_17 /8
priyadharhini:
answer is here:
(i) 13/3125
Factorize the denominator we get
3125 =5 x 5 x 5 x 5 x 5 = 5^5
So denominator is in form of 5^m so 13/3125 is terminating .
(ii) 17/8
Factorize the denominator we get
8 =2 x 2 x 2 = 2^3
So denominator is in form of 2^n so 17/8 is terminating .
Factorize the denominator we get
3125 =5 x 5 x 5 x 5 x 5 = 5^5
So denominator is in form of 5^m so 13/3125 is terminating .
(ii) 17/8
Factorize the denominator we get
8 =2 x 2 x 2 = 2^3
So denominator is in form of 2^n so 17/8 is terminating .
hope it helps!!
Answers
Answered by
1
the denominator of first is it is affected of 5 only in the second digit is effect of too only and we know that if the denominator is a factor of 5 and 2 only they are terminating show the both the digits are terminating
hope helps
hope helps
Answered by
2
13/3125=
3125=5ˣ5ˣ5ˣ5ˣ5
the formula which we use is 2ⁿ5to the power m
here we can write that 2 to the power 0 and 5 to the power 5
since 2°5⁵
hence it is terminating becoz it can be written in the form of 2ⁿ5 to the power m
17/8
8=2ˣ2ˣ2
hence we can write this in form 2ⁿ5 to the power m hence it is terminating
3125=5ˣ5ˣ5ˣ5ˣ5
the formula which we use is 2ⁿ5to the power m
here we can write that 2 to the power 0 and 5 to the power 5
since 2°5⁵
hence it is terminating becoz it can be written in the form of 2ⁿ5 to the power m
17/8
8=2ˣ2ˣ2
hence we can write this in form 2ⁿ5 to the power m hence it is terminating
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