In this lesson you will:
investigate the reasons we use scientific notation
discover the scale of the universe
learn to order numbers expressed in scientific notation.
One of the main reasons why we use scientific notation, is to make it easier for us to communicate and write very large or very small numbers when measuring things in the world around us.
We need to be able to read numbers in both scientific notation and decimal notation (normal numbers).
Watch the video, Review: Converting Numbers to Scientific Notation.
Use information from the video to complete the conversion activity.
Review: Converting Numbers to Scientific Notation
Duration: 6:51
As well as describing large and small numbers using scientific notation (powers of 10) we also have words we use to describe these numbers.
Complete the drag and drop interactive to match the power of 10 expression with the whole number and the word we use to describe them.
Each expression needs a word and a number dragged into the box below it.
Watch the video, The Scale of the Universe 2.
The Scale of the Universe 2
Duration: 3:23
Check out the incredible Scale of the Universe website.
Click on the image to open the website in a new tab.
Choose English - British and the press Start.
Complete the following questions in your exercise book or folder:
What is the length of Uluru?
Is Uluru longer than the height of the Burj Khalifa? What is the difference in these measurements?
Which is the largest planet in our solar system? What is its diameter?
What is the largest number on the interactive map? What does it describe?
What is the smallest number on the interactive map? What does it describe?
What is the smallest length that has been measured and confirmed?
Can you order numbers in scientific notation?
Look closely at the number line in the interactive.
Which numbers are wrong on the number line?
What should they be changed to?
Complete the interactive.
Complete the interactive to order the numbers from smallest to largest.
A “googol” is a name for a really big number: a 1 followed by 100 zeros.
Answer the following questions in your exercise book or folder:
If you square a googol (to the power of 2), how many zeros will the answer have? Show your reasoning.
If you raise a googol to the googol power, how many zeros will the answer have? Show your reasoning.
Explore some problems using the Lesson 2 challenge activity Google Doc.
Click on the link to open a new tab and view the Google Doc.
Click on the Use Template button to create a copy for you to edit.
Don't forget to hand in the work you completed today!
Your teacher will have told you to do one of the following:
Upload any digital documents you created and any photos you took of your written work to your Learning Management system (MS Teams, Google Classroom for example).
Email any digital documents you created and any photos you took of your written work to your teacher.
Make sure you keep any hand written work you did in your exercise book or folder as your teacher may need to see these when you are back in class.