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# How do you express $3.4{\text{ }}.{\text{ }}{10^4}$ as an ordinary number?

Last updated date: 20th Sep 2024
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Hint: To solve such questions start by expanding the ${10^4}$ term in the given number. Next substitute the expanded term in the given number. Then move one decimal point to the right. Finally, multiply the two terms to get the ordinary number.

Given $3.4{\text{ }}.{\text{ }}{10^4}$
It is asked to write the given number as an ordinary number.
First write ${10^4}$ in the expanded form, that is,
${10^4} = 10000$
Now substitute this in the given number, that is,
$3.4{\text{ }} \times {\text{ }}10000$
$3.4$ can be written as $\dfrac{{34}}{{10}}$ . So it can be seen that,
$\dfrac{{34}}{{10}} \times 10000$
Canceling out the numerator and denominator, we get,
$34{\text{ }} \times {\text{ }}1000$
Further multiplying we get,
$34000$

Hence the ordinary number of $3.4{\text{ }}.{\text{ }}{10^4}$ is $\;34000$ .