Math Flashcards
How to solve a^8/a^6=
A with exponent of 8 divided by A with an exponent of 6
When exponents have the same bases and are divided, the exponents are subtracted.
Keep the bases, and subtract 8-6 to equal 2
Answer: A^2
Yard to meter conversion
1 yard = 0.914 meter
Rules of operation
PEMDAS Parenthesis Exponents Multiplication Division Addition Subtraction
Finding the degree of angles of a triangle
All angle degrees added together must equal 180.
Multiplying fractions:
Multiply numerators together
Then multiply denominators together
Denominators do not need to match.
Pythagorean theorem
In a right angled triangle:
the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The triangle must have a 90degree angle. The hypotenuse is the side opposite the 90 degree angle.
a^2+ b^2= c^2
c is the longest side of the triangle
a and b are the other two sides
Rules for multiplying vs dividing exponents
When multiplying exponents with same base, you can add the exponents for the answer.
When dividing, you can subtract the exponents.
Mode
Number occurring most times in a series of numbers
Kg to lb equation
And
Lb to kg equation
Kg to pounds- multiply by 2.2
Pounds to kg- divide by 2.2
What number is the opposite of itself?
0
Explanation:
1 is opposite of -1 because they cancel each other out.
How to calculate the percentage change- how much of percentage a number has changed.
Step 1: Calculate the change (subtract old value from the new value)
Step 2: Divide that change by the old value (you will get a decimal number)
Step 3: Convert that to a percentage (by multiplying by 100 and adding a “%” sign)
Difference divided by old value X 100 = %
To get percentage of some part of a whole- what is formula?
Divide the small part by the whole and that will be the percentage.
For example: what is % of people who went to the picnic who wore purple. 994 people went to picnic, 311 people wore purple.
So 311/994= 31.3=31%
Addition or subtraction of fractions
Must have same denominator.
Then add or subtract numerators and keep same denominator.
Multiplying fractions
Do not need same denominators.
Multiply numerator with numerator, and denominator with denominator.
Dividing fractions
Turn divisor upside down. (Second number is divisor- the number after divided by symbol)
Then multiply the fractions.
Numerator X numerator
Denominator X denominator
Multiplying decimals
Multiply decimals as you would whole numbers. then put decimal in the same amount of decimal spaces there are in the beginning numbers total.
Perimeter
Length around exterior of shape.
Add the lengths of the sides.
Circumference formula
Perimeter of a circle is its circumference.
2X pi X radius
Or
Pi X diameter
Area
Amount of space of a 2 dimensional object.
Generally base X height.
Square- s^2 Rectangle- L X W Parallelogram- B X H Triangle- 1/2 X B X H Trapezoid- 1/2 (b1+b2) X H Circle- pi X radius^2
Surface area
Sum of exterior areas of a 3 dimensional object.
Find area of each side and then add them.
Finding speed (Rate) in a mph problem. What is the equation?
Speed= distance /time
Equation to solve for distance
D = s x t
Equation for finding time in speed equation
t = d ÷ s
Ways to remember speed/ distance problem equations.
Finding distance is the only equation that multiplies.
In the other equations, distance is always the dividend (the number that is getting divided by the divisor)
