To solve the question \( (0.7)^2 = ... \), we will follow these steps:
### Step 1: Understand the expression
The expression \( (0.7)^2 \) means we need to multiply \( 0.7 \) by itself.
### Step 2: Write the multiplication
So we write it as:
\[ 0.7 \times 0.7 \]
### Step 3: Remove the decimal
To make the multiplication easier, we can temporarily remove the decimal. Since \( 0.7 \) is the same as \( \frac{7}{10} \), we can rewrite it as:
\[ \frac{7}{10} \times \frac{7}{10} \]
### Step 4: Multiply the numerators and denominators
Now, we multiply the numerators and the denominators:
\[ \frac{7 \times 7}{10 \times 10} = \frac{49}{100} \]
### Step 5: Apply the decimal
Now we need to convert \( \frac{49}{100} \) back into decimal form. Since the denominator is \( 100 \), we can place the decimal point two places to the left in \( 49 \):
\[ 49 \div 100 = 0.49 \]
### Final Answer
Thus, we can fill in the blank:
\[ (0.7)^2 = 0.49 \]
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