Solve: Multiplying 0.314 by 100 Using Decimal Place Values

To solve this problem, we'll focus on the rule for multiplying decimal fractions by powers of 10:

• Move the decimal point to the right for each power of ten involved in the multiplication.

• For $100$, we move the decimal point two places to the right.

Let's apply this to our problem:

The given number is $0.314$.

Step 1: Identify the number of decimal places in $0.314$, which is 3 digits long: "314".

Step 2: Multiplying $0.314$ by $100$ requires us to move the decimal point two places to the right.

Before moving the decimal point:

$0.314$

Move the decimal point two places right:

$3.14$

Effectively, the number becomes $31.4$.

Hence, the result of $0.314 \times 100 = 31.4$.

Therefore, the solution to the problem is $31.4$.

The correct answer choice from the options is:

$31.4$