Chapter 8 Exponents, Square Roots, and the Pythagorean Theorem
Exponent (8-1)
Number that tells how many times another number is a factor.
Base (8-1)
The number being multiplied
Square Root (8-6)
The opposite of raising a number to a power is called taking the ROOT of the number. Root: An equal factor of a number Square Root: A factor of a power of two
Power (8-1)
The product of multiplying any number by itself once or many times.
Dividing with Exponents Rule (8-3)
To divide with the SAME BASE, SUBTRACT their exponents. Example: 4^4/ 4^2 = 4^(4-2) = 4^2
Multiplying with Exponents Rule (8-2)
To multiply numbers with the SAME BASE, ADD their exponents. Example: 4^2 x 4^3 = 4^(2+3) = 4^5
Squares (8-4)
You can use exponents for the area of the square. Area: The number of square units inside a closed region Square: A four - sided shape with sides of equal length and four right angles.
Cubes (8-5)
You can use exponents to describe the VOLUME of a CUBE. Volume: The number of cubic units that fills the interior of a solid Cube: A solid with square faces (think of how dice look)