To understand the meaning of mantissa in mathematics, we should start with the following expression: in mathematics, especially in the expression of computer-related numbers (floating-point numbers), there is a basic expression:

Floating-point = significant index value, signed-F. 1

Translated into Chinese, it means:

(floating point) value = mantissa× base exponent, (plus sign)-f.2

Take our common scientific counting method as an example. The population of China in the first census was 60 1 938035 (60 million people in New China). The expression can be (ignoring some places):

Sixty million yuan = 6.0 19× 10 8 (plus sign)-f.3.

Of course, we can also express it like this (ignoring some bits):

Sixty million = 60. 19× 10 7 (plus sign)-F.4

However, we can see that F.4 does not conform to the definition of scientific notation, because the mantissa (60. 19) is greater than the radix (10), which loses the significance of scientific notation based on 10. That is to say, when we use F. 1 or F.2 to represent a numerical value, the mantissa