Question

divide 256 by 10000000 and Express the result in standard form ​

Answer 1

Answer:

After dividing we get = 0.0000256

Ans.= 2.56×10^5

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Answer 2

Given:

256 is divided by 10000000.

To find:

The result in standard form when 256 is divided by 10000000.

Solution:

To answer this question, first of all, we should understand that the standard form of a number xyz is

$= x.yz \times {10}^{ - 2}$

(we move the decimal point to the place where only one non-zero digit is left before the decimal)

So,

Proceeding to the solution, we have,

$\frac{256}{10000000}$

and,

$10000000 \: can \: be \: written \: as \: {10}^{7}$

So,

$\frac{256}{ {10}^{7} }$

$= 256 \times {10}^{ - 7}$

( from the properties of exponent and powers,

$\frac{1}{ {m}^{n} } = {m}^{ - n} )$

Now,

we need to write the standard form of

$= 256 \times {10}^{ - 7}$

So,

it can be written as

$2.56 \times {10}^{2} \times {10}^{ - 7}$

$= 2.56 \times {10}^{ - 5}$

Hence, the standard form of 256 × 10^-7 is 2.56 × 10^-5.