(iv) Write the new decimal obtained by the power of 10 (of step 2) to obtain the standard form of
the given decimal Characteristic and Mantissa
Consider the standard form of n
n = m ×10
p, where 1 < m < 10
Taking logarithms to the base 10 and using the laws of logarithms
log n = log m + log 10
p
= log m + p log 10
= p + log m
Here p is an integer and as 1 < m < 10, so 0 < log m < 1, i e , m lies between 0 and 1