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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 $1.384 \times 10^6$