Consider the following expressions:

Question

−6+3⋅5 ______ 16−−√+32÷8 .

Which operator can be inserted to make the statement true?

(1 point)
Responses

>
greater than

=
equals

<
less than

≤

Answer 1

To solve the expression, we first need to compute the left side and the right side separately.

Left side: -6 + 3 ⋅ 5
= -6 + 15
= 9

Right side: 16 −−√ + 32 ÷ 8
First, calculate the square root and division:
16 −−√ = 4
32 ÷ 8 = 4
Now add them together:
4 + 4 = 8

Now we have:

9 ______ 8

Now we can determine the appropriate operator:

• 9 > 8 (greater than)
• 9 = 8 (equals)
• 9 < 8 (less than)
• 9 ≤ 8 (less than or equal to)

The only operator that fits is: > (greater than).

Thus, the correct answer is:

> (greater than).