Class 9 Math Chapter 3 Question Answer
Handwritten and composed notes Class 9 Math Chapter 3 Question Answer Logarithms of Chapter No.3: Logarithms notes written by Professor Asad Khalid Suib. These notes are very helpful in the preparation of Logarithms for the students of Mathematics Science group of the (9 class) Matriculation and these are according to the paper patterns of all Punjab boards.
Summary and Contents:
Topics which are discussed in the notes are given below:
- Important notes of Class 9 Math Chapter 3 Question Answer for Matriculation part-I students.
- Complete chapter test according to the paper patterns of all Punjab boards of Chapter No.2: Logarithms 9th class Mathematics Science group in English medium.
- Complete Multiple Choice Questions (MCQs) of Chapter No.3: Logarithms 9th class Mathematics Science group in English medium.
- Complete Chapter exercise wise solved questions of Chapter No.3: Logarithms 9th class Mathematics Science group in English medium.
- Complete chapter review exercise questions of Chapter No.3: Logarithms 9th class Mathematics Science group in English medium.
- Important definitions Asking in board question papers of Chapter No.3: Logarithms 9th class Mathematics Science group in English medium.
- Here are the detailed 9th class math chapter 3 question answer pdf to help you prepare for your exams.
- Express a number in Standard form of scientific notation and vice
versa.
- Define logarithm of a number y to the base a as the power to which
a must be raised to give the number (i.e., a^x = y ā log y = x, a > 0, a ā 1 and y > 0).
- Define a common logarithm, characteristic and mantissa of log of
a number.
- use tables to find the log of a number.
- Give concept of antilog and use tables to find the antilog of a
number.
- Differentiate between common and natural logarithm.
- Prove the following laws of logarithm apply laws of logarithm to convert lengthy processes of
multiplication, division and exponentiation into easier processes
of addition and subtraction etc.
- Introduction: The difficult and complicated calculations become easier by using logarithms.
- Abu Muhammad Musa Al Khwarizmi first gave the idea of logarithms.
Later on, in the seventeenth century John Napier extended his work
on logarithms and prepared tables for logarithms He used āeā as
the base for the preparation of logarithm tables. Professor Henry
Briggs had a special interest in the work of John Napier. He prepared
logarithim tables with base 10. Antilogarithm table was prepared by
Jobst Burgi in 1620 A.D.
- Scientific Notation: There are so many numbers that we use in science and technical work that are either very small or very large. For instance, the distance
from the Earth to the Sun is 150,000,000 km approximately and a
hydrogen atom weighs 0.000,000,000,000,000,000,000,001,7 gram.
While writing these numbers in ordinary notation (standard notation)
there is always chance of making an error by omitting a zero or
writing more than actual number of zeros. To overcome this problem,
scientists have developed a concise, precise and convenient method
to write very small or very large numbers, that is called scientific
notation of expressing an ordinary number.
- A number written in the form a x 10^n, where 1 < a < 10 and n
integer, is called the scientific notation.
- The above mentioned numbers (in 3.1) can be conveniently written in scientific notation as 1.5 x 10^8 km and 1.7 x 10^-24 gm respectively.
- Characteristic of Logarithm of a Number > 1: The first part of above table shows that if a number has one digit in the integral part, then the characteristic is zero; if its integral
part has two digits, then the characteristic is one; with three digits in
the integral part, the characteristic is two, and so on.
- In other words, the characteristic of the logarithm of a number greater than 1 is always one less than the number of digits in the
integral part of the number.
- When a number b is written in the scientific notation, i.e., in the form b = a x10^n where 1 < a < 10, the power of 10 i.e., n will give t
characteristic of log b.