estimate how many times larger 6.1x10^7 is than 2.1x10^-4

The way through which a very small or a very large number can be written in shorthand. 6.1×10⁷ is 2.905×10¹¹ times greater than 2.1×10⁻⁴.

The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

To know how many times 6.1×10⁷ is greater than 2.1×10⁻⁴, you need to divide 6.1×10⁷ by 2.1×10⁻⁴, therefore,

[tex]\dfrac{(6.1 \times 10^{7} )}{ (2.1 \times 10^{-4})}\\\\= \dfrac{6.1 \times 10^7}{2.1 \times 10^{-4}}\\\\= 2.905\times 10^{7+4}\\\\=2.905 \times 10^{11}[/tex]

Thus, 6.1×10⁷ is 2.905×10¹¹ times greater than 2.1×10⁻⁴.

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The number of times when 6.1×10⁷ larger than 2.1×10⁻⁴ should be considered as the 2.905×10¹¹.

It is the method where the large number or the small number should be written. Here the number that lies between 1 and 10 should be multiplied by the power of 10

Like  6,500,000,000,000 can be written as 6.5e+12.

So

here the number of times should be

= 6.1×10⁷ / 2.1×10⁻⁴

=  2.905×10¹¹

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