Blog 27: Linear vs Exponential Growth

Exponential growth is when the line is curved, x is not the exponent, and grows by multiplying. When you have a table that is exponential you will see the growth by multiplying a number to the previous one. Linear growth is when the lune is constant, exponent is x, and it grows by adding. You can tell when it is linear by the table when you see it increasing by the same number each times.

Blog 28: Scientific Notation 

Scientific notation is a way to write a number. When scientist have giant numbers and they do not want to write all of the zeros then you use scientific notation. There are three rules to follow when writing a number like this. The first number must be a decimal in between 1 and 10. When you write the multiplication sign it must be an X. And the last rule is that it must be followed by the power of 10.

Blog 29: Simplifying Exponents Expressions Using the Product and Quotient Rule 

The first rule is the product rule. This is when you multiply two exponential expressions with the same base. You add the exponents but keep the base the same. The second rule is the distributive rule for products. This rule is when you have two or more terms raised to the same power you attach the exponent to everything inside the parentheses. The third rule is the quotient rule. This is when you divide to exponential expressions with the same base and then subtract the exponents the base stays the same. The next role as the zero expletive rule. This will that basically tells you that anything to the zero power will equal one. Another rule is the power rule. This is when the power is raised to the power you multiply the exponents into the base the same. The last rule is the negative exponents rule. This is when the number gets smaller so it’s reciprocal of the same exponent put positive .

Blog 30: Negative Exponents 

When the exponent is negative it only makes the number smaller not negative. It tells you that instead of moving the decimal right you move it left. With fractions with exponents and have the same base they stay the same base but become whole numbers with a negative or positive exponent. This depends on if the original exponent was negative or not.