Write the denominator of the rational number 2575000 in the form 2m - 5n- where m- n are non-negative integers- Hence- write its decimal expansion- without actual division-

The correct option is B 5000=2^3· 5^4, 0.0514 The denominator of the rational number 2575000 in the form 2 ^ m × 5 ^ n , where m, n are ...

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Standard VII

Mathematics

Writing Rational Numbers as Decimals

Write the den...

Question

Write the denominator of the rational number $\frac{257}{5000}$ in the form $2^{m} \times 5^{n}$ , where m, n are non-negative integers. Hence, write its decimal expansion, without actual division.

5000 = 2^{2} \cdot 5^{5}, 0.0514

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5000 = 2^{4} \cdot 5^{3}, 0.0514

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5000 = 2^{3} \cdot 5^{4}, 0.0514

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Solution

The correct option is B $5000 = 2^{3} \cdot 5^{4}, 0.0514$

The denominator of the rational number $\frac{257}{5000}$ in the form $2^{m} \times 5^{n},$ where $m, n$ are non-negative integers $2^{3} \times 5^{4} .$

$\frac{257}{5000} = 0.0514$

$\frac{257}{2^{3} 5^{4}} = 0.0514$

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Similar questions

Question 13
Write the denominator of rational number $\frac{257}{5000}$ in the form $2^{m} \times 5^{n}$ , where m, n are non - negative integers. Hence, write its decimal expansion, without actual division.

Q. Write down the decimal expansion of the following rational numbers by writing the denominators in the form

2^{m} \times 5^{n}

, where

m, n

are non-negative integers.

(i)

\frac{3}{8}

(ii)

\frac{13}{125}

(iii)

\frac{7}{80}

(iv)

\frac{14588}{625}

(v)

\frac{129}{2^{2} \times 5^{7}}

Q. Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2^m × 5ⁿ, where, m, n are non-negative integers.

(i)

\frac{3}{8}

(ii)

\frac{13}{125}

(iii)

\frac{7}{80}

(iv)

\frac{14588}{625}

(v)

\frac{129}{2^{2} \times 5^{7}}

[NCERT]

Write the denominator of the rational number 257 / 5000 in the form 2 raise to power m into 5 raise to power n where M and n are nonnegative

Q. The denominator of the rational number

\frac{275}{5000}

is in the form

(

cube of

2^{m} \times 5^{n})

, then the value of

n

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Write the denominator of the rational number 2575000 in the form 2m×5n, where m, n are non-negative integers. Hence, write its decimal expansion, without actual division.

The correct option is B 5000=23⋅54,0.0514The denominator of the rational number 2575000 in the form 2m×5n, where m,n are non-negative integers 23×54.2575000=0.05142572354=0.0514

Write the denominator of the rational number $\frac{257}{5000}$ in the form $2^{m} \times 5^{n}$ , where m, n are non-negative integers. Hence, write its decimal expansion, without actual division.

The correct option is B $5000 = 2^{3} \cdot 5^{4}, 0.0514$

The denominator of the rational number $\frac{257}{5000}$ in the form $2^{m} \times 5^{n},$ where $m, n$ are non-negative integers $2^{3} \times 5^{4} .$

$\frac{257}{5000} = 0.0514$

$\frac{257}{2^{3} 5^{4}} = 0.0514$