Tag: decimal fractions

Questions Related to decimal fractions

The correct expansion of $6.\overline {46}$ in the fractional form is :

maths decimal fractions rounding decimals non-terminating recurring decimals in rational numbers rounding of decimals

  1. $\dfrac{646}{99}$

  2. $\dfrac{640}{100}$

  3. $\dfrac{64640}{1000}$

  4. $\dfrac{640}{99}$

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Correct Option: D
Explanation:

$6.\overline {46} = 6+ \overline {46}= 6+\dfrac{46}{99}=\dfrac{594+46}{99}=\dfrac{640}{99}$

Multiply $4.28$ and $0.67.$ Round off the product obtained correct to three decimal places

maths decimal fractions rounding decimals non-terminating recurring decimals in rational numbers rounding of decimals

  1. $2.798$

  2. $2.868$

  3. $0.85$

  4. None of these

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Correct Option: B
Explanation:

$4.28 \times 0.67 = 2.8676$

As the digit in the fourth place $(6)$ is greater than $5,$ it will get rounded.
$\therefore  2.8676$  can be written as $2.868$, correct to three decimal places.