Consider the following expressions:%0D%0A%0D%0A−6+3⋅5______16−−√+32÷8.%0D%0A%0D%0AWhich operator can be inserted to make the statement true?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A>%0D%0Agreater than%0D%0A%0D%0A=%0D%0Aequals%0D%0A%0D%0A<%0D%0Aless than%0D%0A%0D%0A≤

Answer 1

To determine which operator can be inserted between the expressions \(-6 + 3 \cdot 5\) and \(16 - \sqrt{16} + 32 \div 8\), we need to evaluate both expressions.

1. Calculate the left-side expression \(-6 + 3 \cdot 5\):

   • First calculate \(3 \cdot 5 = 15\).
   • Then, \(-6 + 15 = 9\).

2. Calculate the right-side expression \(16 - \sqrt{16} + 32 \div 8\):

   • First calculate \(\sqrt{16} = 4\).
   • Then calculate \(32 \div 8 = 4\).
   • Now substitute these values: \(16 - 4 + 4\).
   • This simplifies to \(16 - 4 = 12\), and then \(12 + 4 = 16\).

Now we compare the two results:

• Left-hand side: \(9\)
• Right-hand side: \(16\)

Now, we insert the operators:

• Compare \(9\) and \(16\):
  • \(9 < 16\) is true, so you can use the less than operator \(<\).

Therefore, the correct answer is:

< (less than)