Identify the Decimal Representation: Writing Seven Tenths (0.7)

To solve this problem, we'll follow the steps outlined below:

• Step 1: Recognize that the fraction "seven tenths" is mathematically represented by $\frac{7}{10}$.
• Step 2: Convert this fraction into a decimal by performing the division of 7 by 10.

Now, let's go through these calculations:
Step 1: Write down the fraction $\frac{7}{10}$. Step 2: Divide 7 by 10. This is equivalent to $7 \div 10 = 0.7$. Because we express fractions like $\frac{7}{10}$ with decimals, we see that the number falls at the tenths place, confirming the conversion is accurate.

Upon examining the given choices:

• Choice 1: $7.0$ - Represents seven, but not as a fraction of tenths.
• Choice 2: $0.070$ - Represents seventy thousandths, not tenths.
• Choice 3: $0.70$ - Correctly represents seven tenths.
• Choice 4: $0.700$ - Either represents seven tenths or seven hundred thousandths, but the simplest form for "seven tenths" is $0.7$, which equates with $0.70$.

The number $0.70$ correctly describes "seven tenths" in its simplest and most precise form, as requested by the problem.

Therefore, the solution to the problem is $0.70$.