Which of the following teaching-learning resources is best suited to explain the concept of multiplication of two decimal numbers say `0.3 xx 0.2 = 0.06`?

Options

A. Graph paper
B. Dienes blocks
C. Taylor's abacus
D. Number chart

Explanation

To solve the question regarding the best teaching-learning resource to explain the multiplication of two decimal numbers, specifically \(0.3 \times 0.2 = 0.06\), we can follow these steps:

### Step 1: Understand the Concept of Decimal Multiplication
Decimal multiplication involves multiplying two numbers that have decimal points. In this case, we are multiplying \(0.3\) and \(0.2\).

**Hint:** Remember that multiplying decimals involves counting the total number of decimal places in both numbers.

### Step 2: Calculate the Product
To calculate \(0.3 \times 0.2\), we can first ignore the decimal points and multiply the numbers as if they were whole numbers:
\[ 3 \times 2 = 6 \]
Next, we need to determine the total number of decimal places in the original numbers. \(0.3\) has 1 decimal place, and \(0.2\) also has 1 decimal place. Therefore, we have a total of \(1 + 1 = 2\) decimal places.

Now, we place the decimal point in our product:
\[ 6 \text{ (from the multiplication)} \rightarrow 0.06 \text{ (after placing the decimal)} \]

**Hint:** Always count the decimal places in the numbers being multiplied to place the decimal point correctly in the product.

### Step 3: Identify Suitable Teaching-Learning Resources
Now, we need to determine which teaching-learning resource would best help explain this concept. The options provided include:

- **Option A:** Graph paper
- **Option B:** Dienes blocks

**Hint:** Consider which resource allows for visual representation of decimal values and their multiplication.

### Step 4: Evaluate the Options
- **Graph Paper:** This can be used to visually represent decimal values. For example, you can shade a rectangle that represents \(0.3\) and another that represents \(0.2\) to show how their product \(0.06\) can be represented as the area of the overlapping shaded region.

- **Dienes Blocks:** While these blocks are useful for teaching arithmetic operations, they are less effective for representing decimal multiplication visually compared to graph paper.

### Conclusion
Based on the evaluation, **Option A: Graph Paper** is the best suited teaching-learning resource to explain the concept of multiplying two decimal numbers.

**Final Answer:** The best teaching-learning resource to explain \(0.3 \times 0.2 = 0.06\) is **Graph Paper**.