A lot of the stuff that we did on Numbers was a good review. Some new things that learned were:
- The Lowest Common Multiple:
Finding all the prime factors of the two or more numbers, then multiplying it all together. Ex. The LCM of 15 and 35 is 105. Common prime factors of 15 and 35 are 3, 5 and 7. So you multiply the three and get: 3•5•7= 105. - Finding Perfect Squares and Perfect Cubes using Prime Factors
You’re able to find if a number is a perfect square or a perfect cube by looking at the prime factors of the number. So if the prime factors come in pairs, ex. 4= 2•2, then it’s a perfect square. If the prime factors come in triplets, ex. 9= 3•3•3, then it’s a perfect cube. If they come in both, then it’s a perfect square and a perfect cube, ex. 64= 2²•2²•2²/2⁶. - How to make Repeating Decimals a Fraction
- Mixed Radicals and Entire Radicals
You’re able to simplify radicals so that they are smaller numbers, but have a coefficient, or just keep it as a whole. An example of a Mixed Radical is 5√2 and an entire radical is √50.
