Question

Consider the following statement:

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:

\[
\frac{8 \cdot 3 + 2 \cdot 6}{60 \div 5 \cdot 3} = ?
\]

Calculating the numerator:

\[
8 \cdot 3 = 24
\]
\[
2 \cdot 6 = 12
\]
\[
24 + 12 = 36
\]

Now for the denominator:

\[
60 \div 5 = 12
\]
\[
12 \cdot 3 = 36
\]

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 (÷)**: \( 36 \div 36 = 1 \) (this works)

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

**Division (÷)**.