To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{6} \) x \( \frac{3}{7} \) = \( \frac{3 x 3}{6 x 7} \) = \( \frac{9}{42} \) = \(\frac{3}{14}\)

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 11 are [11, 22, 33, 44, 55, 66, 77, 88, 99]. The first few multiples they share are [33, 66, 99] making 33 the smallest multiple 3 and 11 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{5 x 11}{3 x 11} \) - \( \frac{3 x 3}{11 x 3} \)

\( \frac{55}{33} \) - \( \frac{9}{33} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{55 - 9}{33} \) = \( \frac{46}{33} \) = 1\(\frac{13}{33}\)

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-9z³ + 3z³
(-9 + 3)z³
-6z³

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:

0.0004983 in scientific notation is 4.983 x 10^-4

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.