-6+3×5_____√16+32÷8
Which operator can be inserted to make this statement true?
The operator that can be inserted to make this statement true is the subtraction operator '-'.
To solve this problem, you need to follow the order of operations, which states that you should perform operations inside parentheses first, then exponentiation, then multiplication and division (from left to right), and finally addition and subtraction (from left to right).
The given expression is:
-6 + 3 × 5 _____ √16 + 32 ÷ 8
First, let's simplify the expressions on each side of the blank space:
On the left side:
-6 + 3 × 5 = -6 + 15 = 9
On the right side:
√16 + 32 ÷ 8 = 4 + 4 = 8
So, the expression becomes:
9 _____ 8
To make this statement true, you need to insert the greater than (>) operator between 9 and 8, as 9 is indeed greater than 8.
Therefore, to make the statement true, you would insert the ">" operator to get:
-6 + 3 × 5 > √16 + 32 ÷ 8
To determine which operator can be inserted to make the statement true, we need to evaluate both sides of the equation separately and compare the results.
On the left side of the equation:
-6 + 3 × 5 = -6 + 15 = 9
On the right side of the equation:
√16 + 32 ÷ 8 = 4 + 4 = 8
To make the statement true, we need to insert the operator that results in the left side being equal to the right side. In this case, the left side is larger than the right side. Therefore, we can insert the subtraction operator (-) to make the statement true:
-6 + 3 × 5 - √16 + 32 ÷ 8 = 9 - 8
This would make the equation true.