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I see that the question is asking to use the place value of each digit of 67 to find the value of \( 2 \times 67 \), but it seems you were marked incorrect.

Let's break down how to solve this step-by-step:

### Step 1: Understanding Place Value of 67
The number 67 can be split into its place values:
- \( 67 = 60 + 7 \)

### Step 2: Apply the Multiplication
Now, let's calculate \( 2 \times 67 \) by distributing over the place values:

\[
2 \times 67 = 2 \times (60 + 7) = (2 \times 60) + (2 \times 7)
\]

### Step 3: Solve Each Part
- \( 2 \times 60 = 120 \)
- \( 2 \times 7 = 14 \)

### Step 4: Add the Results
Now, add the two results:
\[
120 + 14 = 134
\]

So, \( 2 \times 67 = 134 \), which matches part **(b)** of your answer.

### The Error in (a)
For part **(a)**, the approach is incorrect because the numbers given in the parentheses (33.5 and 3.5) don't align with the place value concept (where 33.5 and 3.5 don't represent 60 and 7). The correct decomposition should have been 60 and 7.

Would you like to go over any details or need further clarifications?

Here are 5 related questions to explore:

1. How can you use the distributive property to solve multiplication problems faster?
2. What are the place values of a number, and how can they help in multiplication?
3. Why does breaking down numbers into place values simplify complex calculations?
4. How would you apply this method to a three-digit number?
5. Can you use the same technique for division? If so, how?

**Tip**: Always check that your breakdown of numbers (like place value) aligns with the actual digits of the number you're working with to avoid errors!

Use the place value of each digit of 67 to fill in the blanks in parentheses. Then, give the value of 2 × 67.

Understand how to multiply using place value by breaking down the multiplication of 2 × 67. Learn how to apply the distributive property step-by-step to achieve the correct answer, which is 134. Suitable for students in Grades 4-6.

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