Blog #27
“Linear vs exponential Growth”
For linear growth the pattern in the table is that it is always going up by a certain number. Then the pattern in the graphs are that they always go straight up or down i a straight line. Then for exponential growth the pattern in the table is that it is always being multiplied by a number. Lastly pattern for the graphs are that they never have straight lines and they are always like a wave. The difference between linear and exponential is that linear has a pattern and exponential has different outcomes. On a linear table you can tell what the growth is because it is going up by a certain pattern although on a exponential table you can not tell because it has totally different numbers. It relates to how the amounts are growing because it can either be adding up by a certain number or being multiplied by a certain number.

Linear_vs_exponential

Blog #28
“Scientific Notation”
Scientific notation is a way to make a really long number a lot shorter and the reason they call it scientific notation is because scientist and math experts use it all the time to make there job just a little bit easier. And what you have to do for scientific notation is count how many zero’s you have then then with the number that is left over you use that to multiply by ten then you add the zero’s that you counted and use it as a exponent and that way you will get you answer. Then for negative exponent you have to do pretty much the same thing but the only different is that the reason that it is negative is because it is a large decimal number such as .000000000009.

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Blog #29
“Simplifying Exponent Expressions Using The Product and Quotient Rules”
What the product rule is, is when you multiply two exponential expressions with the same base and then add the exponents. What the quotient rule is, is when your dividing two exponential expressions with the same base subtract the exponents. The power rule is when a power is raised to a power, multiply the exponents and keep the base the same. The distributive rule for quotients is when a quotient is raised to a power, both the numerator and denominator are raised to the power. The distributive rule for products is when you have two or more turns raised to the same power, attach the exponent to everything inside the parenthesis.

Blog #30
“Negative exponents”
When you have a negative exponent if you want to make it positive, what you do is you turn it from negative to positive. Then you change the base to a fraction and then into the reciprocal. It does notbecome negative after you’ve done this but into a fraction. image