Question

What is \[0.0015kg\] in scientific notation?

Answer 1

Hint :Scientific notation is a mode of representing numbers that are either too large or too small to be written in decimal form due to the resulting long string of digits. Scientific form, standard index form, or standard form are all terms that can be used to describe it.

Complete Step By Step Answer:
Nonzero numbers are written in scientific notation as follows:
\[m \times {10^n}\]
or \[m\] times ten to the \[{n^{th}}\] power, where \[n\] is an integer and \[m\] is a nonzero real number.
The exponent is the integer\[n\] , and the significand or mantissa is the real number\[m\]. When it comes to logarithms, the term "mantissa" may be confusing since it is the standard name for the fractional component of the typical logarithm. In ordinary decimal notation, a minus sign precedes \[m\] if the number is negative. The exponent is chosen in normalised notation such that the absolute value of the significand \[m\] is atleast \[1\] but less than \[10\].
To write \[0.0015kg\] in scientific notation, begin by repositioning the decimal until it has just one digit in front of it.
That is three times to the right. So, we will get \[1.5\] .
Then calculate the exponent value.
Since we shifted the decimal to the right, our exponent sign will be negative.
The number will be \[3\] because we moved the decimal three times.
Therefore, the exponent is \[{10^{ - 3}}\] .
So, the answer is \[1.5 \times {10^{ - 3}}kg\] .

Note :
Remember that a number is scaled down to a number between \[1\] and \[10\] as it is translated into normalized scientific notation. The position holding zeroes is no longer needed, but all of the significant digits remain.