Express the following number in the form $k\times 10^{n}$ where $1 \leq k<10$ and n is an integer.
1,384,000

Given :

The given number is 1,384,000 

To do :

We have to express the given number in the form of $k\times 10^{n}$.

Solution :

1,384,000

$1384000 = 1384 \times 1000$

               $ = 1384 \times 10^3$

Here, $1 \leq k<10$. Therefore, the base number should be less than 10.

So, divide and multiply 1384 by 1000.

             $ = \frac{1384}{10^3} \times 10^3 \times 10^3$

            $ =1.384  \times 10^3 \times 10^3 $          [Place the decimal point after digits from the right end, as the number is divided by $10^3$ ]

           $ = 1.384 \times 10^6$                            $[a^m \times a^n = a^{m+ n}]$

Therefore, 1,384,000 can be expressed as $1.384 \times 10^6$

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Updated on: 10-Oct-2022

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