Expanded form vs. standard form of decimals in Grade 5 math.

📚 What is Standard Form?

Standard form is the usual way we write numbers. It's the compact and neat representation of a decimal. Think of it as the everyday way you see numbers written down.

• ✔️ Example: 3.14 is in standard form.
• ✍️ Another example: 125.67 is also in standard form.

➕ What is Expanded Form?

Expanded form breaks down a number to show the value of each digit. It shows how each digit contributes to the overall value of the number. This form is helpful for understanding place value.

• 🧮 Example: The expanded form of 3.14 is $(3 \times 1) + (1 \times 0.1) + (4 \times 0.01)$.
• ➗ Another example: The expanded form of 125.67 is $(1 \times 100) + (2 \times 10) + (5 \times 1) + (6 \times 0.1) + (7 \times 0.01)$.

📝 Expanded Form vs. Standard Form: A Comparison

💡 Key Takeaways

• 🔑 Standard form is the normal, compact way to write numbers.
• 📌 Expanded form shows the value of each digit in a number.
• 🎯 Understanding both forms helps in mastering decimal place value.

🧪 Practice Quiz

Convert the following numbers from standard form to expanded form:

1. ❓ 5.25
2. ❓ 16.08
3. ❓ 103.4

Convert the following numbers from expanded form to standard form:

1. ❓ $(7 \times 1) + (3 \times 0.1) + (9 \times 0.01)$
2. ❓ $(2 \times 10) + (0 \times 1) + (5 \times 0.1)$
3. ❓ $(1 \times 100) + (4 \times 10) + (6 \times 1) + (8 \times 0.01)$

Answers:

1. 5. $(5 \times 1) + (2 \times 0.1) + (5 \times 0.01)$
2. 6. $(1 \times 10) + (6 \times 1) + (0 \times 0.1) + (8 \times 0.01)$
3. 7. $(1 \times 100) + (0 \times 10) + (3 \times 1) + (4 \times 0.1)$

1. 1. 7.39
2. 2. 20.5
3. 3. 146.08