Question

Which is a correct representation of .000025 in scientific notation?

Answer 1

0.000025 → 2.5 × 10⁻⁵ → 2.5E-5

Further explanation

Scientific notation represents the precise way scientists handle exceptionally abundant digits or extremely inadequate numbers in the product of a decimal form of number and powers of ten. Put differently, such numbers can be rewritten as a simple number multiplied by 10 raised to a certain exponent or power. It is a system for expressing extremely broad or exceedingly narrow digits compactly.

Scientific notation should be in the form of  

$\boxed{ \ a \times 10^n \ }$

where  

$\boxed{ \ 1 \leq a \ < 10 \ }$

The number 'a' is called 'mantissa' and 'n' the order of magnitude.

From the key question that is being asked, we face the standard form of 0.000025.

$\boxed{ \ 0.000025 = \frac{25}{1,000,000} \ }$

The coefficient (or mantissa), i.e. 25, is still outside of 1 ≤ a < 10. Both the numerator and denominator are divided by 10.

$\boxed{ \ 0.000025 = \frac{2.5}{100,000} \ }$

The denominator consists precisely of five zero digits.

Hence, 0,000025 is written in scientific notation as  $\boxed{\boxed{ \ 2.5 \times 10^{-5} \ or \ 2.5E - 5 \ }}$

The inverse of scientific notation is the standard form. To promptly change scientific notation into standard form, we reverse the process, move the decimal point to the right or left. This expanded form is called the standard form.

A notable example:

$\boxed{ \ 3.0 \times 10^{8} \ Hz \ \rightarrow 300,000,000 \ Hz \ or \ 300 \ MHz}$

Learn more

1. 0.00069 written in scientific notation brainly.com/question/7263463
2. Express the pill’s mass in 0.0005 grams using scientific notation or in milligrams brainly.com/question/493592
3. What 3 digits are in the units period of 4,083,817 brainly.com/question/558692

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Answer 2

Answer : The correct answer is, $2.5\times 10^{-5}$

Explanation :

Scientific notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

For example :

8000 is written as $8.0\times 10^3$

779.9 is written as $7.799\times 10^{-2}$

In this examples, 8000 and 779.9 are written in the standard notation and $8.0\times 10^3$  and $7.799\times 10^{-2}$  are written in the scientific notation.

If the decimal is shifting to right side, the power of 10 is negative and if the decimal is shifting to left side, the power of 10 is positive.

As we are given the 0.000025 in standard notation.

Now converting this into scientific notation, we get:

$\Rightarrow 0.000025=2.5\times 10^{-5}$

As, the decimal point is shifting to right side, thus the power of 10 is negative.

Hence, the correct answer is, $2.5\times 10^{-5}$