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 Subjective Questions Webinar Subjective Questions Pre Board Assessment
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
(SinA/1+CosA + 1+cosA/sinA) (sinA/1-cosA - 1-cosA/sinA)=4cosecAcotA    
Asked by prasadshruti9999 | 03 Jun, 2023, 10:05: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
cot2 30-2cos2 60-3/4sec2 45-4sec2 30
question image
Asked by Akhandp457 | 29 May, 2023, 09:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find the zeroes of the quadratic polynomial and verify the relationship between the zeroes and the coffiecient 4u+8u
Asked by dimpaldihingia2 | 24 May, 2023, 06:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
if sin theta = root3/2, find the value of all t- ratios
Asked by akhilthainuan | 22 May, 2023, 02:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If α and β are tge zeros of the polynomial x^2 - 6x + k and 3α + 2β=20 , then the value of k is
Asked by ruchipandey20071978 | 21 May, 2023, 10:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If one of the zeros of the quadratic polynomial (k - 1)x^2 + kx + 1 is -3, then the value of k
Asked by ruchipandey20071978 | 21 May, 2023, 09:57: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If the sum of the zeors of the polynomial f (x)=2x^3 - 3kx^2 +4x - 5 is 6 , then the value of k is
Asked by ruchipandey20071978 | 21 May, 2023, 05:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If two zeros of x^3 + x^2 - 5x - 5 are √5 and - √5, then its third zero is
Asked by ruchipandey20071978 | 21 May, 2023, 05:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The value of k for which the system of equestions kx-y=2 and 6x-2y=3 has a uniqe solution is..
Asked by ruchipandey20071978 | 11 May, 2023, 06:55: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
a regular polygon has 20 sides. how many triangles can be drawn by using the vertices but not using the sides?
Asked by gavhanenisha0310 | 09 May, 2023, 04:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt