Consider the following expressions:
−6+3⋅5______16−−√+32÷8.
Which operator can be inserted to make the statement true?
To make the statement true, the missing operator should yield an answer of 13 after performing the operations.
Let's solve the expression first:
-6 + 3 ⋅ 5 = -6 + 15 = 9
Next, let's evaluate the second part of the expression:
16 − √16 + 32 ÷ 8 = 16 - 4 + 4 = 16
Since 9 is not equal to 16, we need to insert an operator that would make the statement true.
Dividing 9 by 16 would yield approximately 0.5625, which is not 13. Similarly, multiplying 9 by 16 would yield 144, which is also not 13. So, neither division nor multiplication can be inserted as the missing operator.
However, if we subtract 9 from 16, we get 7. Adding 13 to that would indeed give us 20, which is equal to 20.
Therefore, the operator that can be inserted to make the statement true is the addition operator ("+").
To determine the appropriate operator to insert in the given expressions to make the statement true, we need to calculate the values first:
-6 + 3 * 5 = -6 + 15 = 9.
Next, let's simplify the second expression:
16 - -√(16) + 32 ÷ 8 = 16 - (-4) + 4 = 16 + 4 + 4 = 24.
Now, we need to determine the operator that can make the two expressions equal:
9 ____ 24.
To make the statement true, we need to insert the division operator (/) between 9 and 24:
9 / 24.