Assertion `:` 0.7,0.70,0.700 are equivalent decimals.
Reason `:` Number of zero at the end of decimal number change the value of the number.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If assertion is false but reason is true.

Answer

To solve the question, we need to analyze the assertion and the reason provided.

### Step 1: Understand the Assertion
The assertion states that 0.7, 0.70, and 0.700 are equivalent decimals. This means that they represent the same value.

**Hint:** Think about how adding zeros after a decimal point affects the value of the number.

### Step 2: Analyze the Assertion
When we look at the numbers:
- 0.7 is the same as 0.70 because adding a zero after the decimal does not change the value.
- Similarly, 0.70 is equivalent to 0.700 for the same reason.

**Hint:** Consider how decimals work. Does adding zeros change the number?

### Step 3: Conclusion on the Assertion
Since all three numbers represent the same value, we conclude that the assertion is true.

### Step 4: Understand the Reason
The reason states that the number of zeros at the end of a decimal number changes the value of the number.

**Hint:** Reflect on whether adding zeros at the end of a decimal number actually changes its value.

### Step 5: Analyze the Reason
This statement is incorrect. Adding zeros at the end of a decimal number does not change its value. For example, 0.7, 0.70, and 0.700 all have the same value.

**Hint:** Think about examples of other numbers, like whole numbers, to see if the same rule applies.

### Step 6: Conclusion on the Reason
Since adding zeros does not change the value of the decimal, the reason is false.

### Final Conclusion
- The assertion is true: 0.7, 0.70, and 0.700 are equivalent decimals.
- The reason is false: The number of zeros at the end of a decimal number does not change the value of the number.

Thus, the correct answer is that the assertion is true, but the reason is false.

### Summary
- **Assertion:** True
- **Reason:** False