Question

Consider the following expressions:

−6+3⋅5______16−−√+32÷8.

Which operator can be inserted to make the statement true?

(1 point)
Responses

>
greater than

≤
less-than-or-equal-to

=
equals

<
less than
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Answer 1

To determine which operator can be inserted to make the expression true, we need to evaluate both sides of the equation.

First, let's calculate the left side of the expression:

\[
-6 + 3 \cdot 5
\]
Calculating \(3 \cdot 5\):
\[
3 \cdot 5 = 15
\]
Now substitute back:
\[
-6 + 15 = 9
\]

Next, let's calculate the right side of the expression:

\[
16 - \sqrt{16} + 32 \div 8
\]
Calculating \(\sqrt{16}\):
\[
\sqrt{16} = 4
\]
Calculating \(32 \div 8\):
\[
32 \div 8 = 4
\]
Now substitute these values back into the expression:
\[
16 - 4 + 4 = 16
\]

Now we have the values:
- Left side: 9
- Right side: 16

Now, we need to compare these two results:

\[
9 \quad ? \quad 16
\]

The correct operator to insert here is "<" (less than), since \(9 < 16\).

So the correct answer is:

< (less than)