Scientific Notation
Why is Scientific Notation useful?
It helps us write large and small numbers in an easy to understand form.
What is a Rational Number?
A number that can be written as a fraction.
Solve: 9^5 x 9^2
Product Rule! Add the exponents!
9^5+2 = 9^7
What is the square root of 121
11
Write 0.00597 in Scientific notation
5.97 x 10^-3
What makes a number Irrational?
It is non-repeating and non-terminating
Solve: 8^5/8^3
Quotient Rule! Subtract the exponents!
8^5-3 = 8^2
What is a negative times a negative?
Positive!
Write 983,000,000 in Scientific Notation
9.83 x 10^8
Are integers rational numbers?
Yes! Positive and negative numbers can be written as fractions.
(7^4)^2
Power Rule! Multiply the exponents!
7^4x2 = 7^8
What is 3 1/4 as a improper fraction?
13/4
Write 0.0000004321 in Scientific Notation
4.321 x 10^-7
Why is 0.123122312223122223... rational?
Trick Question! It is Irrational! A non repeating, non terminating decimal
Solve:
(2^6 x 2^4)/2^7
2^3
What is the area of a rectangle with a length of 6 and a width of 11?
6 x 11 = 66
Write 3.81 x 10^-5 in Standard Form?
Move the decimal 5 times to the left!
0.0000381
Why is the square root of 81 rational?
The square root of 81 is 9 which is a whole number, and whole numbers can be written as fractions
Solve:
4y^3 x 5y^4
20y^7
How do you find the perimeter of a triangle?
Add all sides: a + b + c