Let's evaluate both sides of the statement step by step.

Question

First, let's calculate the left side of the statement: \(8 \cdot 3 + 2 \cdot 6\)

- \(8 \cdot 3 = 24\)
- \(2 \cdot 6 = 12\)

Now, add these two results:
\[ 24 + 12 = 36 \]

Next, let's calculate the right side of the statement: \(60 \div 5 \cdot 3\)

- First, perform the division: \(60 \div 5 = 12\)
- Then, multiply: \(12 \cdot 3 = 36\)

Now we can compare both sides:

- Left side: \(36\)
- Right side: \(36\)

Thus, the statement is:

\[ 36 \; \text{______} \; 36 \]

The appropriate operator to make this statement true is \(=\).

Therefore, the answer is \(=\).

make this like a 6th grader wrote it

Answer 1

Sure! Here’s a simpler explanation like a 6th grader would write it:

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Let’s check both sides of the math problem step by step.

First, we’ll do the left side: \(8 \cdot 3 + 2 \cdot 6\)

1. First, we find \(8 \cdot 3\):

   • \(8 \cdot 3 = 24\)

2. Next, we find \(2 \cdot 6\):

   • \(2 \cdot 6 = 12\)

Now, we add those two results together: \[ 24 + 12 = 36 \]

So the left side equals \(36\).

Now, let’s do the right side: \(60 \div 5 \cdot 3\)

1. First, we divide \(60 \div 5\):

   • \(60 \div 5 = 12\)

2. Now we multiply that result by \(3\):

   • \(12 \cdot 3 = 36\)

So the right side also equals \(36\).

Now we can compare both sides:

• Left side: \(36\)
• Right side: \(36\)

Since both sides are equal, we can say:

\[ 36 ; \text{is the same as} ; 36 \]

The correct sign to put in the middle is \(=\).

So the answer is \(=\).