Question

Write characteristic of log500 =2.6990 and also write mantissa.

Answer 1

The integral part of a common logarithm is called the characteristic and the non-negative decimal part is called the mantissa. Suppose, log 39.2 = 1.5933, then 1 is the characteristic and 5933 is the mantissa of the logarithm. If log . ... 9742, then - 3 is the characteristic and . 9742 is the mantissa of the logarithm.

Answer 2

SOLUTION

TO DETERMINE

The characteristic of log500 = 2.6990 and also write mantissa.

CONCEPT TO BE IMPLEMENTED

The characteristic is defined as the integral part and mantissa is the decimal part.

EVALUATION

Here the given logarithm is

log500 = 2.6990

We know that in logarithm of a number, there are two parts

• First part = Characteristic

• Second Part = Mantissa

The characteristic is defined as the integral part and mantissa is the decimal part.

Now log500 = 2.6990

Therefore we can conclude that -

2 is characteristic of log 500

0.6990 is mantissa of log 500

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