Indices - Scientific Notation - Surds Flashcards
What do you need to add powers?
The same base
What do you need to divide powers?
Same base
What do you do when dividing powers?
Top power - bottom power
What does (a to the power of p) to the power of q mean you have to do?
Multiply powers
What does a power of 0 always equate to?
1
What do you do when you have a negative indice?
Invert
What power does a number with no number have?
1
What do you do when you have a product to a power?
Raise each part of the product to the power
What do you do when you have a quotient to a power?
Raise each number of the fraction to the power
What does a and m over n equal to?
Penomation squared to base (numerator)
How do we solve equations with indices?
Get the same base number on each part of the equation, equate the powers and solve the resulting equation
What does hence mean?
Using the previous answer you got
What is the symbol for irrational numbers?
R/Q
What are irrational numbers?
Numbers that cannot be fractions ,non-terminating and non-repeating decimals
How do you solve a surd question?
ab squred= a squared x b squared or a over b all squared= a squared over b squared
What does one number have to be in a surd equation?
Perfect square e.g. 9
What is standard form?
A way to write very large or small numbers
What does a in standard form have to be?
Including but not less than 1 and less than 10
What does a positive power in standard form mean?
The answer is a large number
What does a negative power in standard form mean?
The answer is a small number
How do you add/ subtract in standard form?
Change each number to decimal form, add/subtract and change back to standard form
How do you divide/multiply numbers in standard form?
Multiply/ divide the ‘a’ parts, multiply/ divide the 10 to the power of n and tidy up answer
What happens if the number is less than 1 in significant numbers?
The zeros before and after the decimal part aren’t significant
What happens if a part of the recipriocal is negative?
When it’s flipped, the whole fraction becomes negative