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Study with Ghada› Math Fifth Grade, Primary› Unit 1

Lesson ⁦1-3⁩: Model Decimals

Math · Fifth Grade, Primary · Unit 1: Place Value · First Semester

A 10-question quiz; after every question you'll see the right answer with an explanation.
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What will you learn in this lesson?

Students connect fractions with denominators of 10 or 100 to decimals and represent them with models. This lesson is the gateway to working with money and measuring in parts.

  • Writes fractions with denominators of 10 or 100 as decimals
  • Represents decimals with tenths and hundredths models
  • Reads decimals and writes them in words

💡 Tip: The number of zeros in the denominator equals the number of digits after the decimal point: 7/10 = 0.7, 35/100 = 0.35, and 7/100 = 0.07.

🤖 Ask Ghada about the lesson

Ghada explains the lesson and answers your questions about it. Log in to get started.

Worked examples from the Model Decimals lesson questions

What decimal is equivalent to the fraction 7/10?
  • 0.7
  • 0.07
  • 7.10
  • 7.0
✓ 0.7
7/10 means seven tenths, and it is written 0.7.
What decimal is equivalent to the fraction 35/100?
  • 0.35
  • 3.5
  • 0.035
  • 35.0
✓ 0.35
35/100 means thirty-five hundredths, and it is written 0.35.
Show more examples (3)
A model is divided into 100 identical squares, and 42 of them are shaded. What decimal represents the shaded part?
  • 0.42
  • 4.2
  • 0.042
  • 42.0
✓ 0.42
The shaded part is 42 out of 100, that is, 42/100 = 0.42.
How is the decimal 0.6 read?
  • Six tenths
  • Six hundredths
  • Six thousandths
  • Six
✓ Six tenths
The digit 6 is in the tenths place, so it is read: six tenths.
How is the decimal 0.09 read?
  • Nine hundredths
  • Nine tenths
  • Ninety hundredths
  • Nine thousandths
✓ Nine hundredths
The digit 9 is in the second place after the decimal point, the hundredths place, so 0.09 = 9/100.

FAQ about the Model Decimals lesson

How do I convert the fraction 35/100 to a decimal?

A denominator of 100 means two places after the decimal point, so it is written 0.35 and read thirty-five hundredths.

How do I represent the decimal 0.42 with a model?

Take a square divided into 100 equal parts and shade 42 of them; the shaded part represents 0.42.

How do I study the lesson Model Decimals and test myself on it?

Start the lesson quiz on Study with Ghada: 10 questions from the Math Fifth Grade, Primary question bank. After each answer you'll see the right answer with an explanation, and any questions you miss move to “Review my mistakes” until you master them.

Are Study with Ghada quizzes free and aligned with the curriculum?

Yes, completely free. They're built on the Math - Grade 5 - Semester 1 lessons in the same order as the book, and every question is reviewed and approved by a teacher before students see it.

Unit 1 lessons: Place Value

⁦1-1⁩ Place Value Through Billions ⁦1-2⁩ Compare Numbers ⁦1-4⁩ Place Value Through Thousandths ⁦1-5⁩ Compare Decimals ⁦1-6⁩ Order Numbers and Decimals ⁦1-7⁩ Problem-Solving Strategy: Guess and Check All Math Fifth Grade, Primary lessons →
← ⁦1-2⁩ Compare Numbers ⁦1-4⁩ Place Value Through Thousandths →