Exercise 83 Page 39

a Before we subtract terms, we should calculate the power and multiply due to order of operations.

b Squaring a negative number is like multiplying it by itself. Therefore, multiplying two negative number always gives you a positive product. Any negative number raised to a power of

2

will have a positive value .

c According to order of the operations, we will first divide the given values and then multiply.

d Raise to the power of

2 .

Do not forget about the minus sign!

e Operations in parentheses should be done first.

f First multiply, then calculate the quotient. Remember that dividing a positive value by a negative one gives you negative result. Also, notice that multiplying by a fraction means dividing by its denominator.

g Parts

(b)

and

(d)

look almost the same. However, we got different answers because of the parentheses, which tell us what number to square.

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