-6+3×5_____√16+32÷8
Which operator can be inserted to make this statement true?
a.>
b.<
c.≤
d.=
d.=
To determine which operator can be inserted to make the statement true, let's first solve each side of the equation step by step:
Left side: -6 + 3 × 5
Apply the multiplication first: -6 + 15
Then perform the addition: 9
Right side: √16 + 32 ÷ 8
Calculate √16: 4
Now do the division: 32 ÷ 8 = 4
Finally, perform the addition: 4 + 4 = 8
Now, we need to compare the left side (9) with the right side (8).
Since 9 is greater than 8, the correct operator to make the statement true is:
a. > (greater than)
To solve this problem, we need to simplify the expressions on either side of the operator that will be inserted. Let's break it down step by step:
First, let's simplify the expression on the left side of the blank space:
-6 + 3 × 5
= -6 + 15
= 9
Now, let's simplify the expression on the right side of the blank space:
√16 + 32 ÷ 8
= 4 + 4
= 8
So, we have:
9 ____ 8
To determine which operator should be inserted to make the statement true, we need to compare the values on either side. Since 9 is not equal to 8, and it is also not greater than or less than 8, the correct operator to make the statement true is the equality operator, "=".
Therefore, the correct answer is:
d. =