GoldenLeaf

Scientific Notation is a style of equation where a number that is too big to be practical (i.e. a number that has many zeros after it) is shifted around until it is between 1 and 10.

For example, a number like 986000000 would be 9.86*10^8 in scientific notation. Scientific notation is recognizable by the (term)*10^n, where 'n' is however many places the decimal moves.

2 + 2 = 2 * 2 = 2^2 = sqrt(16)

7.5 * 0.75 I presume?

Put it into fractions. 15/2 * 3/4

15/2 = 30/4

30/4 * 3/4 = 90/16

80/16 = 5

5 + 10/16 = 5 + 5/8

Putting it back into decimal form (as given) then the answer is 5.625

@Anon: Thanks, I'm not the best at conversions like that.

Anon below me is correct.

Remember PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

25 - (3^2 + 2 * 5)

Do what's in the parenthesis first.

3^2 + 2 * 5

Do exponents next.

3^2 = 9

Multiplication/Division after that.

2 * 5 = 10

Finally, addition.

9 + 10 = 19

Now, we have finished up what it inside the parenthesis. We can now look at the whole problem.

25 - 19 = 6

Your final answer is 6

Depends on what I'm being asked about.

Just as an example, an architect has to measure all of the dimensions for a room, and a lot of fashion is actually loosely related to math (Golden Ratio, anybody?)

Think of how many times 2 needs to be multiplied in order to get eight.

2 x 2 = 4

4 x 2 = 8

Therefore, since 3 '2's were used, x = 3

First, make all the denominators equal.

$${\frac{{\mathtt{2}}}{{\mathtt{3}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{y}}}{{\mathtt{3}}}} = {\frac{{\mathtt{3}}}{{\mathtt{3}}}}$$

That way, since all of the denominators are equal, they can all be canceled out. This makes the equation:

$${\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{y}} = {\mathtt{3}}$$

Subtract 2 to isolate 'y'.

$${\mathtt{y}} = {\mathtt{1}}$$

Final answer.