Grade 5 math: How to write 'three hundred twenty-four thousandths' as a decimal

📚 Understanding Place Value

To convert 'three hundred twenty-four thousandths' into a decimal, we need to understand place value. Decimals are based on powers of ten, with each position to the right of the decimal point representing tenths, hundredths, thousandths, and so on.

• 🔍 Tenths: The first digit after the decimal represents tenths ($\frac{1}{10}$ or 0.1).
• 📊 Hundredths: The second digit represents hundredths ($\frac{1}{100}$ or 0.01).
• 📈 Thousandths: The third digit represents thousandths ($\frac{1}{1000}$ or 0.001).

🔢 Writing 'Three Hundred Twenty-Four Thousandths' as a Decimal

Now, let's apply this understanding to the given phrase: 'three hundred twenty-four thousandths'.

1. 📌 There are no whole numbers, so we start with 0.
2. ✍️ Then, we place the decimal point: 0.
3. 🧮 We need to represent 'three hundred twenty-four' in the thousandths place. That means we write 324 after the decimal point.

Therefore, 'three hundred twenty-four thousandths' as a decimal is 0.324.

💡 Examples

• 🍎 Example 1: 'Seventy-five hundredths' is written as 0.75.
• 🍌 Example 2: 'Nine tenths' is written as 0.9.
• 🍒 Example 3: 'One hundred forty-two thousandths' is written as 0.142.

📝 Practice Quiz

Convert the following phrases into decimals:

1. ❓ Forty-seven hundredths
2. ❓ Six tenths
3. ❓ Two hundred fifty-one thousandths
4. ❓ Eighty-nine thousandths
5. ❓ Five hundredths
6. ❓ One tenth
7. ❓ Three hundred one thousandths

Answers:

1. 0.47
2. 0.6
3. 0.251
4. 0.089
5. 0.05
6. 0.1
7. 0.301