"Significand" Pronounce,Meaning And Examples

"Significand" Meaning

The significand, also known as the mantissa, is the part of a number that represents the significant digits in scientific notation. It is the part between the radix (base) and the exponent. The significand is usually the leading digit or digits, followed by a decimal point and the remaining digits. The significand is used to distinguish it from the exponent, which indicates the power of the radix.

"Significand" Examples

Here are 5 usage examples of the word "significand":

Example Sentences

1. In order to calculate the logarithm of 875, you need to consider the significand of the number.

The manner in which you write 875 can be considered as $8.75\times10^2$. This is called the significand, with 8.75 being the significand and 100 being the base or the multiplier.

2. The significand and exponent play a crucial role in the representation of floating-point numbers.

The significand of a float number is the decimal part of its representation in the scientific notation. The significand is composed of binary digits that are significant to the value.

3. In order for an arbitrary-precision arithmetic library to calculate the value of an expression, it should have the leading and trailing zeros as part of the significand.

The significand of an irrational number would not have digits following the decimal point after a decimal point, as the portion that precedes the decimal point in an irrational number is non-repeating.

4. The data type Scientific integer can change the value of the significand unrestrictedly.

For decimal floating point numbers, the radix can be implicated with a significand accepted as the combination of the digits or the digit combination specified in the representation of the number as one of the following kinds: $2^f$ $x$ or $10$f$x, which applies to a positive or negative integral exponent value f.

5. The decimal representation does not distinguish the trailing zeros of the significand in the presentation of arbitrary-precision floating-point arithmetic.

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