Perform the indicated operation. Then use a calculator to check your work.
seven tenths
timesseven tenths

Let's perform the operation step by step.

You are asked to multiply \(\frac{7}{10}\) by \(\frac{7}{10}\).

### Multiplication of Fractions:
To multiply two fractions, multiply the numerators together and the denominators together.

1. **Multiply the numerators**:
   \[
   7 \times 7 = 49
   \]

2. **Multiply the denominators**:
   \[
   10 \times 10 = 100
   \]

So, \(\frac{7}{10} \times \frac{7}{10} = \frac{49}{100}\).

### Checking with a Calculator:
Using a calculator, you can check the multiplication:
\[
0.7 \times 0.7 = 0.49
\]
\(\frac{49}{100}\) is equivalent to 0.49, confirming that the operation was performed correctly.

Would you like any more details or have any other questions?

### Follow-up Questions:
1. What is the result of \(\frac{3}{4} \times \frac{2}{5}\)?
2. How do you add \(\frac{7}{10} + \frac{3}{10}\)?
3. What is the square of \(\frac{2}{3}\)?
4. How do you simplify the fraction \(\frac{49}{100}\)?
5. How do you divide \(\frac{7}{10}\) by \(\frac{2}{5}\)?

**Tip:** When multiplying fractions, you can simplify the result if the numerator and denominator have common factors.

Learn how to multiply the fraction seven tenths by itself (seven tenths times seven tenths) with a detailed step-by-step solution. This problem covers key mathematical concepts including fractions and multiplication of fractions. Suitable for students in Grades 5-6.

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