Complete the expanded form of the decimal.5.14 = 5 ones 1 tenth 4 hundredths = 5 + ?10 + 4100

1. Break Down the Problem

We need to express the decimal 5.14 in its expanded form, identifying each part of the number correctly.

2. Relevant Concepts

In decimal notation:

• The whole number part is expressed in "ones."
• The first digit after the decimal represents "tenths."
• The second digit after the decimal represents "hundredths."

3. Analysis and Detail

For the decimal 5.14:

• The whole number part is $5$, which represents $5$ ones.
• The first decimal place is $1$, which represents $1$ tenth or $\frac{1}{10}$.
• The second decimal place is $4$, which represents $4$ hundredths or $\frac{4}{100}$.

Thus we can express the decimal in its expanded form: $5.14 = 5 + 1 \times \frac{1}{10} + 4 \times \frac{1}{100}$

4. Verify and Summarize

The expanded form can be rewritten as follows: $5 + 0.1 + 0.04$ When we add these components together, we confirm that they indeed sum to 5.14.

Final Answer

The completed expanded form of the decimal 5.14 is: $5 + 1 \times \frac{1}{10} + 4 \times \frac{1}{100}$ or succinctly, $5 + 0.1 + 0.04$