Which one of the following is prerequisite to understand decimal representation of a number?

Options

A. Addition
B. Subtraction
C. Place value
D. Multiplication

Answer

To determine which prerequisite is necessary to understand the decimal representation of a number, we can follow these steps:

### Step 1: Understand Decimal Representation
Decimal representation is a way of expressing numbers using a base of 10. It includes whole numbers and fractions, where the position of each digit indicates its value.

**Hint:** Familiarize yourself with how numbers are structured in the decimal system.

### Step 2: Identify the Components of Decimal Representation
In decimal representation, each digit has a specific place value. For example, in the number 45.76:
- The digit '4' is in the tens place (40).
- The digit '5' is in the units place (5).
- The digit '7' is in the tenths place (0.7).
- The digit '6' is in the hundredths place (0.06).

**Hint:** Break down a decimal number to see how each digit contributes to its overall value.

### Step 3: Recognize the Importance of Place Value
Understanding place value is crucial for interpreting decimal numbers. It allows us to know how much each digit represents based on its position relative to the decimal point.

**Hint:** Review the concept of place value charts to visualize how numbers are organized.

### Step 4: Evaluate the Options
Given the options, we need to identify which one is essential for understanding decimal representation. The knowledge of place value is fundamental, as it directly relates to how we read and write decimal numbers.

**Hint:** Consider which concepts are foundational to understanding how numbers are formed and interpreted.

### Conclusion
The prerequisite knowledge necessary to understand the decimal representation of a number is **place value**.

**Final Answer:** The correct option is **C: Place Value**.