Achievement standards:
Y8: They describe index laws and apply them to whole numbers.
Y9 & 10: Students apply the index laws to numbers and express numbers in scientific notation.
So, to cover this standard, you will need to be able to answer and do the following:
- What are the index laws? (AKA Law of Indices)
- How do we apply them and what do they mean?
- What is scientific notation and how do we write numbers in this format?
Task: Complete the attached worksheet as we go
Does this look familiar?
It is an index!
Key Points:
- An index, or power, is the small floating number that appears after a number or letter
- The plural of index is indices
- Indices show how many times a number or letter has been multiplied by itself.
- They can also be used to represent roots, such as the square root, and some fractions.
- The laws of indices enable expressions involving powers to be manipulated more efficiently than writing them out in full and the laws explain how to process these expressions more easily
So…
This looks super complicated, BUT it isn’t once explained! I promise!
Practice:
- 57 x 54 =
- 63 x 62 =
Do you now understand?
Now:
Can you now understand?
Muliyan 