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

5 + (5 + 3) ÷ 4 x 5 - 2²
P: 5 + (8) ÷ 4 x 5 - 2²
E: 5 + 8 ÷ 4 x 5 - 4
MD: 5 + \( \frac{8}{4} \) x 5 - 4
MD: 5 + \( \frac{40}{4} \) - 4
AS: \( \frac{20}{4} \) + \( \frac{40}{4} \) - 4
AS: \( \frac{60}{4} \) - 4
AS: \( \frac{60 - 16}{4} \)
\( \frac{44}{4} \)
11

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:

2,867,000 in scientific notation is 2.867 x 10⁶

40% of the water consumption is industrial use and 29% is personal use so (40% - 29%) = 11% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{11}{100} \) x 20,000 gallons = 2,200 gallons.

To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{5 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 2

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{16}{9}} \)
\( \frac{\sqrt{16}}{\sqrt{9}} \)
\( \frac{\sqrt{4^2}}{\sqrt{3^2}} \)
\( \frac{4}{3} \)
1\(\frac{1}{3}\)