Question

Consider the following expressions:

−6+3⋅5 ______ 16−−√+32÷8 .

Which operator can be inserted to make the statement true?

(1 point)
Responses

≤
less-than-or-equal-to

<
less than

>
greater than

=

Answer 1

Let's evaluate the left-hand side and the right-hand side of the expression separately to determine which operator can be used.

**Left-hand side:**
\(-6 + 3 \cdot 5\)
First, compute \(3 \cdot 5\):
\(3 \cdot 5 = 15\)
Now, calculate \(-6 + 15\):
\(-6 + 15 = 9\)

So the left-hand side equals \(9\).

**Right-hand side:**
\(16 - \sqrt{16} + 32 \div 8\)
First, calculate the square root and division:
\(\sqrt{16} = 4\)
\(32 \div 8 = 4\)

Now substitute these back into the expression:
\(16 - 4 + 4\)
Now perform the operations from left to right:
\(16 - 4 = 12\)
Then add \(4\):
\(12 + 4 = 16\)

So the right-hand side equals \(16\).

Now we have:
Left side = \(9\)
Right side = \(16\)

Now we can compare:
\(9\) ______ \(16\)

We see that \(9 < 16\).

The operator that makes the statement true is:

< (less than)