QUESTIONS AND SOLUTIONS 100% CORRECT
◍ Factors and Multiples . Answer: FACTORS- factors are the two
numbers being multiplied in a multiplication problem. A prime
factorization is when you take a number and break it down into factors
over and over until the last numbers are all prime (only divisible by 1
and itself).
MULTIPLES- Multiples are the result of multiplying a certain number
by integers.
◍ Prime numbers . Answer: a number which can only be divided by
itself and 1 which are:
2,3,4,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,87,89,
97
◍ prime factorization . Answer: First factor the number then find and
pull out the numbers that are prime
◍ PEMDAS "Order of Operations" . Answer: Please Excuse My Dear
Aunt Sally (Parenthesis, Exponents, Multiply, Divide, Add, Subtract);
order in which an equation is worked out - multiplication and division as
well as adding and subtracting can be interchanged, depending on which
comes first (from left to right) in the equation
,◍ GCF (Greatest Common Factor) . Answer: the greatest number that is
a factor of two or more numbers
◍ LCM (Least Common Multiple) . Answer: The smallest whole
number greater than 0 that is a common multiple of each of two or more
numbers.
◍ Rules if exponents . Answer: Must always share a base
1. When multiplying you add the exponents
2. When diving you subtracts the exponents
3. A number raised to a fraction power is the same as the root or radical
◍ perfect square . Answer: These are 1,4,9,25,36,49,64,81,100
◍ Factorials (e.g. 8!) . Answer: To find the factorial of any integer,
multiply it by every positive integer below it, e.g.:
8x7x6x5x4x3x2x1
◍ Quadratic Formula . Answer: x = -b ± √(b² - 4ac)/2a
◍ Foil . Answer: First, Outside, Inside, Last
,◍ physical properties of matter . Answer: Color, Odor, Shape, Hardness,
Texture, Density, Volume, Mass, Weight
◍ Mass . Answer: A measure of the amount of matter in an object ( sum
of the protons, neutrons, and electrons)
◍ mass of proton . Answer: 1.67 x 10^-27 kg equal to 1.007 amu
◍ Weight . Answer: A measure of the gravitational force exerted on an
object.
◍ Volume . Answer: The amount of space an object takes up
◍ Density . Answer: Mass per unit volume (equals mass/volume)
◍ What's the smallest unit of matter . Answer: Atom
◍ atomic weight/mass . Answer: protons + neutrons
◍ Ions . Answer: positively and negatively charged atoms
◍ anions and cations . Answer: - Anions: negatively charged ions
- Cations: positively charged ions
, ◍ Isotopes . Answer: Atoms with the same number of protons but
different numbers of neutrons
◍ atomic weight . Answer: Average of the mass numbers of all isotopes
(usually 2x the atomic number)
◍ The atomic nucleus . Answer: The central part of an atom that
contains both protons and neutrons.
◍ Atomic Energy States . Answer: All atoms strive to thrive lowest
energy state
◍ The N shells . Answer: Energy levels where the electrons are found,
the lowest energy leve
◍ Orbitals/Shells . Answer: regions around the nucleus in which given
electron or electron pair is likely to be found ex) 1s which can only hold
2 electrons
◍ p orbital . Answer: 6 electrons