A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

112,000 in scientific notation is 1.12 x 10⁵

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

You have 36 out of the total of 400 raffle tickets sold so you have a (\( \frac{36}{400} \)) x 100 = \( \frac{36 \times 100}{400} \) = \( \frac{3600}{400} \) = 9% chance to win the raffle.

To multiply terms with radicals, multiply the coefficients and radicands separately:

6\( \sqrt{9} \) x 5\( \sqrt{2} \)
(6 x 5)\( \sqrt{9 \times 2} \)
30\( \sqrt{18} \)

Now we need to simplify the radical:

30\( \sqrt{18} \)
30\( \sqrt{2 \times 9} \)
30\( \sqrt{2 \times 3^2} \)
(30)(3)\( \sqrt{2} \)
90\( \sqrt{2} \)

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

3 + (4 + 4) ÷ 5 x 5 - 4²
P: 3 + (8) ÷ 5 x 5 - 4²
E: 3 + 8 ÷ 5 x 5 - 16
MD: 3 + \( \frac{8}{5} \) x 5 - 16
MD: 3 + \( \frac{40}{5} \) - 16
AS: \( \frac{15}{5} \) + \( \frac{40}{5} \) - 16
AS: \( \frac{55}{5} \) - 16
AS: \( \frac{55 - 80}{5} \)
\( \frac{-25}{5} \)
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