Make Sense? In Exercises 93–96, determine whether each statement makes sense or does not make sense, and explain your reasoning. It makes a difference whether or not I use parentheses around the expression following the summation symbol, because the value of ∑ i = 1 8 ( i + 7 ) is 92, but the value of ∑ i = 1 8 i + 7 is 43.
Make Sense? In Exercises 93–96, determine whether each statement makes sense or does not make sense, and explain your reasoning. It makes a difference whether or not I use parentheses around the expression following the summation symbol, because the value of ∑ i = 1 8 ( i + 7 ) is 92, but the value of ∑ i = 1 8 i + 7 is 43.
Solution Summary: The author evaluates whether the provided statement makes sense by using parenthesis in summation notation.
Make Sense? In Exercises 93–96, determine whether each statement makes sense or does not make sense, and explain your reasoning.
It makes a difference whether or not I use parentheses around the expression following the summation symbol, because the value of
∑
i
=
1
8
(
i
+
7
)
is 92, but the value of
∑
i
=
1
8
i
+
7
is 43.
In Exercises 3–4, use the order of operations to simplify each
expression.
8 - 3? ÷ 9
|-5| - [5 - (18 - 6)]?
3.
4. 4
(2 – 9)° + 32 ÷ 1 + 3
5. Simplify: 3 - [2(x – 2) – 5x].
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For the three-part question that follows, provide your answer to each question in the
given workspace. Identify each part with a coordinating response. Be sure to clearly
label each part of your response as Part A, Part B, and Part C.
Part A:
Expand the expression -7i(2 – 4i) using the distributive property.
Part B:
Show all work for Part A.
Part C:
Explain why the expansion in Part A did not result in the need to combine like terms.
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