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TorborgChapter4
Factors, Fractions, Exponents
| Question | Answer |
|---|---|
| Rules For Divisibility | 2: even number 3: sum of digits = 0 4: last 2 digits are divisible by 4 5: ends in 5 or 0 6: if it is divisible by 2 and 3 8: last 3 digits are divisible by 8 9: sum is divisible by 9 10: ends in 0 |
| Factors | numbers that are multiplied to get a number |
| Order of Operations | PEMDAS (parenthesis, exponents, multiply/divide, add/subtract |
| Exponent | small number by a bigger number that shows how many times to multiply the number by itself |
| Base | the bigger number next to the exponent |
| Power | how many times you multiply the base by itself (example: second power= b*b |
| Prime Numbers | numbers that have no more than 2 factors |
| Composite Numbers | numbers that have more than 2 fators |
| GCF | greatest common factor: the biggest factor between a group of numbers (example: 2 and 4 GCF=2 |
| -3 squared means | -3*3 |
| (-3) squared means | (-3)(-3) |
| rational numbers | examples: 1/2, 2, -1/16 |
| 23 | |
| prime factorization 120 | 2^3*3*5 |
| prime factorization using GCF 78 and 124 | 2 |
| 12x^2y^5/8x^4y^2 | 3y^3/2x^2 |
| negative rational numbers | write with - sign on the top (example -2/1 |
| 4x^3y^5*3x^2yz^2 | 12x^5y^6z^2 rule for multiplying exponents: add the exponents that have the common variable |
| (x^3y^5)^4 | x^12y^20 rule for the power of a power: multiply the exponent by the exponent outside of the parenthesis |
| x^0 | 1 rule for zero power: always = 1 |
| write without negatives x^-3y^2/a^2b^-3 | y^2b^3/a^2x^3 |
| without fraction bar x^3y^2/a^2b^3 | x^3y^2a^-2b^-3 |
| without zero or negative exponents and simplify x^-3y^2z^0/x^-2y^-3 | y^5/x |
| Will Torborg | Period 2 |