Question

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%0Aequals%0D%0A%0D%0A>%0D%0Agreater than%0D%0A%0D%0A<%0D%0Aless than%0D%0A%0D%0A≤

Answer 1

To determine which operator can be inserted to make the statement true, we need to evaluate both sides of the expression provided:

Left side:
-6 + 3 ⋅ 5

Calculating this, we first do the multiplication:
3 ⋅ 5 = 15
Now substitute back:
-6 + 15 = 9

So the left side equals 9.

Right side:
16 −−√ + 32 ÷ 8

Calculating this, we start from the square root:
16 −−√ = 4 (since the square root of 16 is 4)
Now do the division:
32 ÷ 8 = 4

Now we can substitute back:
4 + 4 = 8

Now we can compare the two results:
Left side: 9
Right side: 8

Now we can check the relational operators:

1. 9 = 8 (not true)
2. 9 > 8 (true)
3. 9 < 8 (not true)
4. 9 ≤ 8 (not true)

Hence, the correct operator to complete the statement would be "greater than" ( > ).

Final answer: > (greater than)