Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

The decimal expansion of the rational numbers fraction numerator 43 over denominator 2 to the power of 4 cross times 5 cubed end fraction and fraction numerator 27 over denominator 2 cubed cross times 5 to the power of 4 cross times 3 squared end fraction will terminate after how many places of decimals ?
question image
Asked by susrisangita792 | 08 Apr, 2023, 08:43: AM
answered-by-expert Expert Answer
When the denominator of a rational number is in the form 2n x 5m
The decimal expansion terminates after n places if n>m or after m places if m>n
So,  fraction numerator 43 over denominator 2 to the power of 4 cross times 5 cubed end fraction will terminate after 4 places of decimals since 4>3
As the denominator of next rational number is 23 x 54 x 32
It has factors other than 2 and 5 which is 3.
So, its decimal expansion will be non-terminating and repeating.
Answered by Renu Varma | 10 Apr, 2023, 10:10: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
a fraction became 9 upon 11 if 2 is add to the both and 3 is add to both 5 upon 6 find the fraction
Asked by dheerrana109 | 22 Jul, 2024, 10:26: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
6x²+x-1
Asked by ishakkumbhar92 | 20 Jul, 2024, 16:09: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
the peth of an APq and qth term is p find its p+q(th)term
Asked by vishwanathhikkalagutti | 17 Jul, 2024, 07:25: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
if 3 meter cloth price 400 then 75 centimeter cloth price
Asked by avadheshkumar94 | 13 Jul, 2024, 20:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
show That points(1,-1),(5,2)and(9,5)are collinear
Asked by 3ra2231 | 11 Jul, 2024, 20:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
What is réal number
Asked by avadheshkumar94 | 10 Jul, 2024, 10:14: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
prove that sinA-cosA+1/sinA+cosA-1 =1/secA-tanA
Asked by syashkurun | 08 Jul, 2024, 19:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
what is the angle between two parallel lines
Asked by francissaka528 | 08 Jul, 2024, 06:15: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
solve the following pair of linear equation 5x+4y=9 , x + 2y =3
Asked by radhe9868017031 | 05 Jul, 2024, 14:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
5x-4y+8=0, 7x+6y-9=0 consistent or inconsistent
Asked by naidulokesh892 | 04 Jul, 2024, 20:42: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Are You a Teacher or a Parent Seeking Customised Tests? Click here
×