Question

What is mantissa?

Answer 1

Hint: In this problem, we have to explain what mantissa is. We should know that in a decimal number, Mantissa is the part of a number located after a decimal point and in a scientific notation, there are two significant components, mantissa and exponent. We can see antissa in decimal numbers and in scientific notation, with example.

Complete step by step solution:
Here we have to explain about mantissa.
We can now see mantissa in decimal numbers.
We know that in a decimal number, Mantissa is the part of a number located after a decimal point.
We can now take an example, for decimal point 6.745, the mantissa is the part after the decimal point.
\[\Rightarrow 0.745\]
Which is the mantissa of the given decimal number.
We can now see mantissa in scientific notation.
We should know that there are two components in scientific notation, the one is mantissa and the other is the exponent.
We should know that the exponent is always the number of times the mantissa pattern needs to be multiplied by 10 to obtain a value equal to a regular number.
We can now take an example,
The scientific notation is represented as \[5.367\times {{10}^{3}}\], where mantissa of this number is,
\[\Rightarrow 5.367\]

Note: We should always remember that in a decimal number, Mantissa is the part of a number located after a decimal point and in a scientific notation, there are two significant components, mantissa and exponent. We should know that the exponent is always the number of times the mantissa pattern needs to be multiplied by 10 to obtain a value equal to a regular number.