Create New Account
Create New Account

Sign in to Innings2

or

New Account     Reset Password     

Exponents and Powers

    Introduction

Powered by Innings 2

Reset Progress

This will delete your progress and chat data for all chapters in this course, and cannot be undone!

Glossary

Select one of the keywords on the left…

8th class > Exponents and Powers > Introduction

Introduction

Instructions

The section consists of different components:

(a) For problems: Enter the answers in the blanks provided and use the forward button to proceed further with the respective question.

(b) For buckets: Drag the element and place it in the correct category. After all elements have been placed, the incorrect answer get highlighted in red.

(c) For matching: Draw the line from the items listed in the first column to the correct answer in the second column.

(d) For quiz: Select the correct option for the question displayed on top. Only on selecting the correct answer, the next question is provided.

(e) For slideshow: Enter the correct option for the question displayed on top. Only on entering the forward button is enabled and we can proceed with further problem solving.

Imagine you can jump up and down on a trampoline. Every time you jump up, the jumping distance from the trampoline doubles. So, if you start at 1 foot tall, after one jump, you will be 2 feet tall. After two jumps, you will be feet tall, and so on.

Now, let's say you jump up and down five times. How tall would you be? Well, we can use exponents to find out. The exponent in this case is 5, and the base is 2. This means that we are multiplying 2 by itself 5 times.

2 × 2 × 2 × 2 × 2 = 32

So, if you jump up and down on a trampoline five times, you will be feet tall!

Imagine you have a magic plant that grows twice as tall every day. If the plant starts at 1 inch tall, after one day, it will be 2 inches tall. After two days, it will be inches tall, and so on.

Now, let's say you leave the plant for five days. How tall would it be? Again, we can use exponents to find out. The exponent in this case is 5, and the base is 2. This means that we are multiplying 2 by itself 5 times.

25 = 2 × 2 × 2 × 2 × 2

So, if you leave your magic plant for five days, it will be inches tall!

We read 25 as 2 raised to the 5.

We know that

2m = 2 × 2 × 2 × 2 × ... × 2 × 2 ... (m times)

Mass of earth is 5,970,000,000,000, 000, 000, 000, 000 kg. We have already learnt in earlier class how to write such large numbers more conveniently using exponents, as, 5.97 × 1024 kg.