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:
- 9 = 8 (not true)
- 9 > 8 (true)
- 9 < 8 (not true)
- 9 ≤ 8 (not true)
Hence, the correct operator to complete the statement would be "greater than" ( > ).
Final answer: > (greater than)