The integral part of a logarithm is called ____, and the decimal part of a logarithm is called _____. (a) Mantissa, Characteristic (b) Characteristic, Mantissa (c) Whole, Decimal (d) None of these
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The correct option is (b) Characteristic, Mantissa
- To generate a specific number from a base, the power must be increased.
- It determines as to how often a "base" number needs to be multiplied by itself in order to get a given result.
- The exponents specify where the decimal point should go, while the mantissa contains the major digits.
- Thus, The integral part of a logarithm is called the characteristic and the decimal part of a logarithm is called the mantissa.
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The integral part of a logarithm is called Characteristic and the decimal part of a logarithm is called Mantissa.
An integral part of a logarithm:
- The characteristic of a common logarithm is the integral portion, and the non-negative decimal part is the mantissa.
- If log 39.2 = 1.5933, then 1 is the characteristic, and 5933 is the logarithm's mantissa.
- For example, log10201.3000 has a characteristic of 1, but log106002.7782 has a characteristic of 2.
- The characteristic is the integral component of the common logarithm, while the mantissa is the non-negative decimal part.
- The mantissa is the fractional component of a common logarithm (that is, the base 10 logarithm), which represents the digits but not the order of magnitude of the supplied integer.
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