QR - Key rules and Formulas Flashcards
(28 cards)
Order of operations for solving a math problem - Please Excuse My Dear Aunt Sally [PEMDAS]
Parentheses Exponents Mulitplication Division Addition Substraction
What is the sum of the inside angles of a triangle
180 degrees
What is an even number that is neither a positive nor negative number
0
Prime numbers (at least the first 15)
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
53 59 61 71 73 79 83 89 97
Perfect squares through 15^2, as well as 20^2 and 25^2
1^2= 1 2^2 = 4 3^2 = 9 4^2 = 16 5^2 = 25 6^2 = 36 7^2 = 49 8^2 = 64 9^2 = 81 10^2 = 100 11^2 = 121 12^2 = 144 13^2 - 169 14^2 = 196 15^2 = 225 20^2 = 400 25^2 = 625
The first ten powers of 2
2^1 = 2 2^2 = 4 2^3 = 8 2^4 = 16 2^5 = 32 2^6 = 64 2^7 = 128 2^8 = 256 2^9 = 512 2^10 = 1024
The fraction to decimal equivalents
- 1/2
- 1/3
- 1/4
- 1/5
- 1/6
- 1/8
- 1/12
- 0.50
- 0.33
- 0.25
- 0.20
- 0.17
- 0.125
- 0.08
Square root of
- 2
- 3
- 1.4 - remembering 2/14 is the valentine’s day might help
2. 1.7 - remembering 3/17 is the St Patrick’s Day
The divisibility rule for 2
Rule: divisible if it ends with 0,2,4,6, or 8
Divisibility rule for 3
Rule: divisibility if the sum of the digits is a multiple of 3
The divisibility rule for 4
Rule: divisible if the last two digits are a multiple of 4 (or if the last two digits are 00)
The divisibility rule for 5
Rule: divisible if it ends with a 5 or 0
The divisibility rule for 6
Rule: divisible if it is divisible by 2 and 3
The divisibility rule for 9
Rule: divisible if the sum of the digits are a multiple of 9
The divisibility rule for 10
Rule: divisible if the last digit is 0
Exponent rule - Rule of 1
- Any number raised to the power of one (^1) = to the number itself
- One raised to any power = 1
Exponent rule - Power Rule
When multiplying two power that have the same base, you can add the exponents
Exponent rule - Power Rule
To raise a power to a power, just multiply the exponents
Ex: 5^2 raised to the 3rd power (5^2)3 = 5^6
Exponent rule - Quotient Rule
We can divide 2 power with the same base by subtracting the exponents
Ex: 4^5 / 4^2 = 4^3
Exponent rule = Zero Rule
Any non zero number raised to the power of zero = 1
Exponent rule - Negative Exponents
Any non-zero number raised to a negative power equals its reciprocal raised to the opposite positive power
Ex: 4^-2 = 1/(4^2)
Prime factorization tips
Prime factorization is finding which prime numbers multiply together to make the original number
- It’s best to start working from the smallest prime number
- Break a number down into any factors you can, then work those factor down to primes
Ex: 90 - broken into 9 and 10
Prime factors of 9 = 33
Prime factors of 10 - 25
Difference of square patterns
(X+y) (x-y)
X^2 - y^2
Formulas involving rate
Rate problems fall into one of the 2 patterns
- Investigating an overall average rate when two different rates are given for specified distances
- Calculating the rate or time needed to accomplish a certain distances or amount of work
Rate * Time = Distance
