Write ‘T’for true and 'F’ for false for each of the following:
Q `0.5 xx 0.05 = 0.25`

Answer

To determine whether the statement `0.5 xx 0.05 = 0.25` is true or false, we can follow these steps:

### Step 1: Multiply the two decimal numbers
We need to calculate \(0.5 \times 0.05\).

### Step 2: Perform the multiplication
- First, ignore the decimals and multiply the numbers as if they were whole numbers:
\[ 5 \times 5 = 25 \]

### Step 3: Count the decimal places
- Now, we need to count the total number of decimal places in the original numbers:
- \(0.5\) has 1 decimal place.
- \(0.05\) has 2 decimal places.
- Therefore, the total number of decimal places is \(1 + 2 = 3\).

### Step 4: Place the decimal in the result
- We take the result from step 2, which is \(25\), and place the decimal point to account for the 3 decimal places:
\[ 25 \rightarrow 0.025 \]

### Step 5: Compare the result with the statement
- The result of \(0.5 \times 0.05\) is \(0.025\).
- The statement claims that \(0.5 \times 0.05 = 0.25\), which is not true because \(0.025\) is not equal to \(0.25\).

### Conclusion
- Therefore, the statement `0.5 xx 0.05 = 0.25` is **False (F)**.

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