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, we need to find an operator that will make the left side of the equation equal to the right side of the equation.
Let's simplify the left side of the equation first:
−6 + 3⋅5 = −6 + 15 = 9
Now let's simplify the right side of the equation:
16−−√ + 32 ÷ 8 = 16 - 4 + 32 ÷ 8 = 16 - 4 + 4 = 16
Since 9 is not equal to 16, we need to insert an operator to make the statement true. The only option for an operator is the equals sign (=).
Therefore, the statement with the inserted operator is:
−6 + 3⋅5 = 16−−√ + 32 ÷ 8
To find the operator that can be inserted to make the statement true, let's simplify the expression on both sides:
On the left side:
−6 + 3 ⋅ 5
= −6 + 15
= 9
On the right side:
16 −−√ + 32 ÷ 8
= 4 + 4
= 8
The statement is:
9 ? 8
To make 9 equal to 8, we can insert the subtraction operator ( - ).
Therefore, the operator that can be inserted to make the statement true is subtraction ( - ).