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

≤
less than or equal to

Answer 1

Let's evaluate both sides of the expression step by step.

First, we'll simplify the left side:

\[ -6 + 3 \cdot 5 = -6 + 15 = 9 \]

Now, let's simplify the right side:

\[ 16 - \sqrt{16} + 32 \div 8 \]

Calculating the square root and division:

\[ 16 - 4 + 32 \div 8 = 16 - 4 + 4 = 16 \]

Now we have:

\[ 9 , ? , 16 \]

Next, we determine the relationship between 9 and 16. Since \(9 < 16\), we insert the less than operator:

\[ 9 < 16 \]

The correct operator to insert is:

< (less than)