`0.46xx0.46+0.54xx0.54+.0.92xx0.54` is equal to

Options

A. 1
B. 10
C. 11
D. 101

Answer

To solve the expression \(0.46 \times 0.46 + 0.54 \times 0.54 + 0.92 \times 0.54\), we can follow these steps:

### Step 1: Rewrite the expression
We can rewrite the expression as:
\[ (0.46)^2 + (0.54)^2 + (0.92 \times 0.54) \]

### Step 2: Calculate \((0.46)^2\) and \((0.54)^2\)
Calculating the squares:
\[ (0.46)^2 = 0.2116 \]
\[ (0.54)^2 = 0.2916 \]

### Step 3: Calculate \(0.92 \times 0.54\)
Now, calculate the product:
\[ 0.92 \times 0.54 = 0.4968 \]

### Step 4: Add the results together
Now, we add all the results:
\[ 0.2116 + 0.2916 + 0.4968 \]

Calculating the sum:
\[ 0.2116 + 0.2916 = 0.5032 \]
\[ 0.5032 + 0.4968 = 1.0000 \]

### Final Result
Thus, the expression \(0.46 \times 0.46 + 0.54 \times 0.54 + 0.92 \times 0.54\) equals:
\[ \boxed{1} \]