Final answer:
Angela correctly distributed the multiplication through the parentheses, which is in line with the distributive property of multiplication over addition or subtraction. Typographical errors mentioning semicolons are not relevant to mathematical operations. Multiplication and division are inverse operations, and the distributive property applies to algebraic expressions including scientific notation.
Step-by-step explanation:
Regarding Angela's work on distributing through the parentheses, the correct statement is that she correctly distributed the multiplication through the parentheses. The distributive property is a mathematical principle that allows you to multiply a single term by each term inside parentheses, effectively 'distributing' the multiplication over addition or subtraction within the parentheses. It is important to remember that each term within the parentheses needs to be multiplied by the term outside.
Regarding the statement 'Angela needed to multiply semicolon ";" by each of the terms inside the parentheses', this seems to be a typographical error or misunderstanding, as the semicolon is a punctuation mark and not a mathematical operation.
It is also noteworthy that multiplication and division are inverse operations. Division, rather than multiplication, does not apply when distributing unless you are dividing both sides of an equation or expression by the same number, which is different from distributing through parentheses. When multiplying numbers expressed in scientific notation, for example, you multiply the base numbers (N) and add the exponents (n). The same general rules for distribution apply to algebraic expressions that involve variables and exponents.