Write ‘T’for true and 'F’ for false for each of the following:
Q `0.25xx 0.8 = 0.2`

Answer

To determine whether the statement \(0.25 \times 0.8 = 0.2\) is true or false, we will perform the multiplication step by step.

### Step 1: Multiply the numbers without the decimal points
First, we will multiply \(25\) by \(8\):
\[ 25 \times 8 = 200 \]

**Hint:** When multiplying decimals, first ignore the decimal points and multiply the numbers as whole numbers.

### Step 2: Count the total number of decimal places
Next, we need to count the total number of decimal places in the original numbers:
- \(0.25\) has **2** decimal places.
- \(0.8\) has **1** decimal place.

Adding these together gives us:
\[ 2 + 1 = 3 \text{ decimal places} \]

**Hint:** Always count how many digits are after the decimal point in each number before placing the decimal in the result.

### Step 3: Place the decimal point in the result
Now, we take the result from Step 1, which is \(200\), and place the decimal point to have a total of **3** decimal places:
\[ 200 \rightarrow 0.200 \]

**Hint:** To place the decimal point correctly, move it left according to the total number of decimal places counted.

### Step 4: Compare the result with the original statement
Now we compare \(0.200\) with \(0.2\):
\[ 0.200 = 0.2 \]

Since both values are equal, the statement \(0.25 \times 0.8 = 0.2\) is **true**.

**Final Answer:** T (True)