Consider the following expressions:

Question

-6 + 3 x 5_____square root 16 + 32 divided by 8.

Which operator can be inserted to make the statement true?

=
< (with a line underneath)
>
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Answer 1

To evaluate the expression:

$$\text{Missing open brace for subscript}$$

let's first compute each side:

1. Left Side Calculation: $$-6+3\times 5$$ According to the order of operations, we perform the multiplication first: $$3\times 5=15$$ Then, we add: $$-6+15=9$$

2. Right Side Calculation: $$\sqrt{16}+\frac{32}{8}$$ First, calculate the square root: $$\sqrt{16}=4$$ Next, divide: $$\frac{32}{8}=4$$ Now, add: $$4+4=8$$

Now we have: $$\text{Missing open brace for subscript}$$

• We know that $9>8$, so we can insert the "greater than" operator.

Thus, we conclude that the appropriate operator to insert is: \[

\]