- What is exponent and Base
- |
- Negative exponents
- |
- How to express the decimal number in exponent form
- |
- Laws of Exponents
- |
- Use of Exponents to Express Small Numbers in Standard Form

We know

2

3

So it is known how we interact with positive exponent

2^{-10}

11^{-1}

Here we can see that exponents are negative11

Now negative exponents can be converted into positive exponents like this

2

11

So

we can say that for any non-zero integer

a

where

a) 2

b) 3

As a

a) 2

b) 3

1215 =1000+ 200 +10 +5 = 1 × 10

So these are all positive exponents

Decimal number can be expressed as exponents also

1215.15 =1000+ 2-00 +10 +5 +.10+.05= 1 × 10

=1 × 10

So this has both the negative and positive exponents.

a

a

(a

a

a

a

(a/b)

(1)

(-1)

These laws can be used to solve the exponents problems

(-3)

(-3)

=(-1)

= (-1)

=-8

For

Let’s take an example to explain

.00001

**Step 1:** Count of Number of places after decimal

Here it is 5

**Step 2:** On the basis of counting in step 1,the number can be written as

.00001 = 1/100000=1/10^{5 } = 1X 10^{-5}

as a^{m} = 1/a^{-m}

Basically the decimal has been moved to the place after digit

Another example would be

.00019

**Step 1:** In these cases, we count of Number of places after decimal to the first digit only

Here it is 4

**Step 2:** On the basis of counting in step 1,the number can be written as

.0001 = 1.9/10000=1.9/10^{4 } = 1.9X 10^{-4}

as a^{m} = 1/a^{-m}

.00001

Here it is 5

.00001 = 1/100000=1/10

as a

Basically the decimal has been moved to the place after digit

Another example would be

.00019

Here it is 4

.0001 = 1.9/10000=1.9/10

as a

a) .00156

b) .005402

c) .1234

Class 8 Maths Class 8 Science

Given below are the links of some of the reference books for class 8 Math.

- Mathematics Foundation Course for JEE/Olympiad : Class 8 This book can take students maths skills further. Only buy if child is interested in Olympiad/JEE foundation courses.
- Mathematics for Class 8 by R S Aggarwal Detailed Mathematics book to clear basics and concepts. I would say it is a must have book for class 8 student.
- Pearson Foundation Series (IIT -JEE / NEET) Physics, Chemistry, Maths & Biology for Class 8 (Main Books) | PCMB Combo : These set of books could help your child if he aims to get extra knowledge of science and maths. These would be helpful if child wants to prepare for competitive exams like JEE/NEET. Only buy if you can provide help to the child while studying.
- Reasoning Olympiad Workbook - Class 8 :- Reasoning helps sharpen the mind of child. I would recommend students practicing reasoning even though they are not appearing for Olympiad.

You can use above books for extra knowledge and practicing different questions.

Thanks for visiting our website.

**DISCLOSURE:** THIS PAGE MAY CONTAIN AFFILIATE LINKS, MEANING I GET A COMMISSION IF YOU DECIDE TO MAKE A PURCHASE THROUGH MY LINKS, AT NO COST TO YOU. PLEASE READ MY **DISCLOSURE** FOR MORE INFO.