Math Term 1

- ### Exponents

- 4x4x4=64 This is called a repeated multiplication.

- $4^3$ Is called an exponent.

- An exponent has a base number, and an exponent.

- A repeated multiplication has multiplied numbers taht are the same.

- To turn a repeated multiplication into an exponent, we look at the number that is the base numebr and count how many there are.

- Ex. 2x2x2 - $2^3$

- To turn it back, just do the same thing but reversed.

- Extra: GEMDAS rule is a way to do math easily it does the operations on order, first it does Grouping, then exponents, then multiply, then divide, then add, and lastly subtract.

- ### Algebra

- Algebra is a math equation that includes a letter that represents an unknown number.

- Our main goal in algebra is to find the value of the unknown number and complete the equation.

- Ex. 4 + x = 9 The value of x is 5

- To find the unknown number, perform opposite operations to get the variable by itself on one side of the equals sign.

- Ex. 5 + x = 12 : 12 - 5 = 7 : x = 7

- There are 2 types of algebra: Algebraic Equations and Algebraic Expression.

- Algebraic Equations are equations with an unknown number and an equal sign (=).

- Algebraic Expression are equations with an unknown number but no equal sign (=).

- ### Division of fractions

- To divide fractions we need to do the "Keep, Change, Flip" rule.

- Keep the first fraction the same, and change the division sign to multiplication. Flip the second fraction upside down, then multiply straight across.

- Ex. $\frac {3}{8}$ $\div$ $\frac {6}{4}$ = $\frac {3}{8}$ $\div$ $\frac {4}{6}$ = $\frac {1}{4}$

-

- ### Addition and subtraction of decimals

- To add and subtract decimals, you alline the decimal points and add or subtract them.

- Ex. \begin{array}{r}

1.4 \\

+ \quad 2.5 \\

\hline

3.9

\end{array} \begin{array}{r}

4.9 \\

- \quad 3.5 \\

\hline

1.4

\end{array}

- For subtracting, if the top number is lower than the bottom number, you borrow from the numebr beside it and add 10 to the top number.

- ### Multiplying Decimals

- To multply decimals, you have to follow these steps.

- Ignore the decimals and multiply like normal whole numbers.

- Then, count the amount of numbers to the right of the decimal and count that many times to the answer to the left.

- Ex. \begin{array}{r}

1.4 \\

\times \quad 0.2 \\

\hline

0.28

\end{array}

- ### Non-terminating and terminating decimals

- To determine if a decimal is Non-terminating or Terminating, the numbers have to be finite or infinite.

- If a decimal is finite or stops at a number, its a Terminating decimal.

- But if a decimal is Infinite, it is a Non-terminating.

- There are 2 symbols to determine Non-termiantign decimals, Viculum and ellipsis.

- Viculum is a bar you put on top of repeating decimal numbers that have patterns.

- Ex. $0.\overline{7}$ 7 is the repeating number.

- Meanwhile Ellipsis are three dots you put on decimal numbers that doesnt have patterns.

- Ex. 0.649163...