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Understanding Decimals

Learn about tenths and hundredths

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Understanding Decimals

What Are Decimals?

Decimals are another way to show parts of a whole.

Place Value with Decimals

Example: 3.453.45

Ones.TenthsHundredths
3.45
  • 3 is in the ones place
  • 4 is in the tenths place (4 tenths = 410\frac{4}{10})
  • 5 is in the hundredths place (5 hundredths = 5100\frac{5}{100})

Reading Decimals

  • 0.30.3 → "three tenths"
  • 0.450.45 → "forty-five hundredths"
  • 2.72.7 → "two and seven tenths"

Decimals and Fractions

Decimals are related to fractions:

  • 0.1=1100.1 = \frac{1}{10}
  • 0.5=510=120.5 = \frac{5}{10} = \frac{1}{2}
  • 0.25=25100=140.25 = \frac{25}{100} = \frac{1}{4}

Money Connection

Money uses decimals!

  • \0.25$ = 25 cents = one quarter
  • \0.50$ = 50 cents = one half dollar

📚 Practice Problems

1Problem 1easy

❓ Question:

What decimal represents "five tenths"?

💡 Show Solution

Solution:

"Five tenths" means 5 in the tenths place:

0.50.5

This is the same as 510\frac{5}{10}

Answer: 0.50.5

2Problem 2easy

❓ Question:

What decimal represents "five tenths"?

💡 Show Solution

Solution:

"Five tenths" means 5 in the tenths place:

0.50.5

This is the same as 510\frac{5}{10}

Answer: 0.50.5

3Problem 3medium

❓ Question:

Write 310\frac{3}{10} as a decimal.

💡 Show Solution

Solution:

The denominator 10 tells us this is tenths. Put 3 in the tenths place:

310=0.3\frac{3}{10} = 0.3

Answer: 0.30.3

4Problem 4medium

❓ Question:

Write 310\frac{3}{10} as a decimal.

💡 Show Solution

Solution:

The denominator 10 tells us this is tenths. Put 3 in the tenths place:

310=0.3\frac{3}{10} = 0.3

Answer: 0.30.3

5Problem 5hard

❓ Question:

Write 47100\frac{47}{100} as a decimal.

💡 Show Solution

Solution:

The denominator 100 tells us this is hundredths. 47 hundredths:

47100=0.47\frac{47}{100} = 0.47

Answer: 0.470.47

6Problem 6hard

❓ Question:

Write 47100\frac{47}{100} as a decimal.

💡 Show Solution

Solution:

The denominator 100 tells us this is hundredths. 47 hundredths:

47100=0.47\frac{47}{100} = 0.47

Answer: 0.470.47

Explain using:
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Adding and Subtracting Decimals
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📌 Related Topics in Decimals and Measurement

Adding and Subtracting DecimalsConverting Units of Measurement

❓ Frequently Asked Questions

What is Understanding Decimals?▾
Learn about tenths and hundredths
How can I study Understanding Decimals effectively?▾
Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Practice with the 6 problems provided, checking solutions as you go. Regular review and active practice are key to retention.
Is this Understanding Decimals study guide free?▾
Yes — all study notes, flashcards, and practice problems for Understanding Decimals on Study Mondo are free to access. No account is needed.
What course covers Understanding Decimals?▾
Understanding Decimals is part of the Grade 4 Math course on Study Mondo, specifically in the Decimals and Measurement section. You can explore the full course for more related topics and practice resources.
Are there practice problems for Understanding Decimals?▾
Yes, this page includes 6 practice problems with detailed solutions. Each problem includes a step-by-step explanation to help you understand the approach.