Question

How is 0.00069 written in scientific notation?

Answer 1

$\boxed{ \ 0.00069 \rightarrow 6.9 \times 10^{-4} \ }$

Further explanation

In modern science, we frequently must deal with extremely small or incredibly large quantities. For a typical example, one of the recognized limitations of the microwave frequency is 300,000,000 Hz with a photon energy of 0.00000124 eV. They with many zeros can be impractical to work with, so scientists properly implement scientific notation.

Scientific notation properly 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 0.00069.

$0.00069 = \frac{69}{100,000}$

The coefficient (or mantissa), i.e. 69, is still outside of 1 ≤ a < 10. Both the numerator and denominator are divided by 10.

$0.00069 = \frac{6.9}{10,000}$

The denominator consists precisely of four zero digits.

Hence, 0,00069 is written in scientific notation as  $\boxed{ \ 0.00069 = 6.9 \times 10^{-4} \ }$

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.

Notable examples:

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

$\boxed{ \ 0.00000124 \ eV \ \rightarrow 1.24 \times 10^{-6} \ eV \ or \ 1.24 \mu\ eV \ }$

Learn more

1. How is 0.00023 written in scientific notation? brainly.com/question/1898080
2. How to explain 3,482,000,000 in scientific notation brainly.com/question/231855
3. Convert the number expressed in standard form to scientific notation brainly.com/question/10436883

Answer details

Grade: Middle School  

Subject: Mathematics

Chapter: Scientific Notation

Keywords: how, 0.00069, written, in scientific notation, expanded form, exponent, base, standard form, mantissa, the order of magnitude, power, decimal, very large, small, figures, abundant digits, inadequate

Answer 2

6.9 x 10^-4 would be .00069 written in scientific notation