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

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

4 + (2 + 3) ÷ 2 x 3 - 4²
P: 4 + (5) ÷ 2 x 3 - 4²
E: 4 + 5 ÷ 2 x 3 - 16
MD: 4 + \( \frac{5}{2} \) x 3 - 16
MD: 4 + \( \frac{15}{2} \) - 16
AS: \( \frac{8}{2} \) + \( \frac{15}{2} \) - 16
AS: \( \frac{23}{2} \) - 16
AS: \( \frac{23 - 32}{2} \)
\( \frac{-9}{2} \)
-4\(\frac{1}{2}\)

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [35, 70] making 35 the smallest multiple 5 and 7 share.

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

\( \frac{7 x 7}{5 x 7} \) + \( \frac{6 x 5}{7 x 5} \)

\( \frac{49}{35} \) + \( \frac{30}{35} \)

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

\( \frac{49 + 30}{35} \) = \( \frac{79}{35} \) = 2\(\frac{9}{35}\)

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:

0.0006147 in scientific notation is 6.147 x 10^-4

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.