Home
Class 10
MATHS
Write the denominator of the rational nu...

Write the denominator of the rational number `257/5000` in the form `2^m xx 5^n`, where m, n and non-negative integers. Hence, write its decimal expansion without actual division.

Text Solution

Verified by Experts

The correct Answer is:
0.0514
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    EDUCART PUBLICATION|Exercise LONG QUESTION TYPE QUESTIONS|5 Videos
  • REAL NUMBERS

    EDUCART PUBLICATION|Exercise SHORT QUESTION (SA-I) TYPE QUESTIONS|12 Videos
  • QUADRATIC EQUATIONS

    EDUCART PUBLICATION|Exercise LONG ANSWER Type Questions [4 marks]|19 Videos
  • SAMPLE PAPER - 6

    EDUCART PUBLICATION|Exercise PART - B (SECTION - IV)|13 Videos

Similar Questions

Explore conceptually related problems

Write the denominator of the rational number (257)/(5000) in the form 2^(m)xx5^(n), where m,n and non-negative integers.Hence,write its decimal expansion without actual division.

Write the denominator of the rational number ( 771)/( 3000) in the form 2 ^(p) 5 ^(q) , where p and q are non - negative integers

Assertion : 29/9261 will have a non-terminating repeating decimal expansion. Reason : Let a = p/q be a rational number such that p and q are co-prime and the prime factorisation of q is of the form 2^(n)xx5^(m) where n and m are non-negative integers (whole numbers). Then a has a decimal expansion, which is non-terminating repeating.

Write twhether the rational number (51)/(1500) will have a terminating decimal expansion ora non- terminating repeating decimal expansion.

Write whether the rational number (7)/(75) will have a terminating decimal expansion or non-terminating repeating decimal expansion .

Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2^(m)xx5^(n)xx5^(n) ,where m,n are non-negative integers.(3)/(8) (ii) (13)/(125) (iii) (7)/(80)

If (241)/(4000)=(241)/(2^mxx5^n) then find the value of m + n, where m and n are non-negative integers.

If (241)/(400)=(241)/(2^(m)xx5^(n)) then then find the value of m + n, where m and n are non-negative integers.

Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2^(m)xx5^(n)xx5^(n) ,where m,n are non-negative integers.(14588)/(625) (ii) (129)/(2^(2)xx5^(7))