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.
Make Sense? In Exercises 135–138, determine whether each
statement makes sense or does not make sense, and explain your
reasoning.
135. I use the same ideas to multiply (V2 + 5) (V2 + 4) that I
did to find the binomial product (x + 5)(x + 4).
136. I used a special-product formula and simplified as follows:
(V2 + V5)? = 2 + 5 = 7.
137. In some cases when I multiply a square root expression and
its conjugate, the simplified product contains a radical.
138. I use the fact that 1 is the multiplicative identity to both
rationalize denominators and rewrite rational expressions
with a common denominator.
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