Consider the following statement:

Question

8⋅3+2⋅6
______ 60÷5⋅3
.

Which operator can be inserted to make the statement true?

(1 point)

Answer 1

To make the statement true, we need to determine what operator can be inserted in the placeholder to balance the equation. The statement can be rephrased mathematically as:

$$\frac{8\cdot 3+2\cdot 6}{60÷5\cdot 3}=?$$

Calculating the numerator:

$$8\cdot 3=24$$ $$2\cdot 6=12$$ $$24+12=36$$

Now for the denominator:

$$60÷5=12$$ $$12\cdot 3=36$$

Thus, we have:

$$\frac{36}{36}=1$$

Now we check various operators to find which one could replace the placeholder to make the equation true (1):

1. Addition (+): $36+1=37$ (not equal to 1)
2. Subtraction (−): $36-1=35$ (not equal to 1)
3. Multiplication (×): $36\times 1=36$ (not equal to 1)
4. Division (÷): $36÷36=1$ (this works)

So the operator that can be inserted to make the statement true is:

Division (÷).