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Lesson ⁦1-4⁩: Place Value Through Thousandths

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

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What will you learn in this lesson?

Students extend the place-value chart to include tenths, hundredths, and thousandths, so they know the value of each digit after the decimal point and can write a decimal in different forms.

  • Identifies the place and value of a digit in a decimal through the thousandths
  • Writes decimals in standard, expanded, and word form
  • Reads decimals through the thousandths

💡 Tip: Careful: the places after the decimal point do not start with the ones. The first place is tenths, then hundredths, then thousandths.

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Worked examples from the Place Value Through Thousandths lesson questions

What is the value of the digit 7 in the number 3.274?
  • 0.07
  • 0.7
  • 0.007
  • 7
✓ 0.07
The digit 7 is in the second place after the decimal point (hundredths), so its value is 7/100 = 0.07.
What is the place of the digit 5 in the number 12.635?
  • Thousandths
  • Hundredths
  • Tenths
  • Ones
✓ Thousandths
After the decimal point: 6 tenths, 3 hundredths, and 5 thousandths.
Show more examples (3)
What is the standard form of the number: five and three hundred twelve thousandths?
  • 5.312
  • 53.12
  • 5.0312
  • 0.5312
✓ 5.312
Five is the whole number, and 312 thousandths = 0.312, so the number is 5.312.
What is the expanded form of the number 4.208?
  • 4 + 0.2 + 0.008
  • 4 + 0.2 + 0.08
  • 4 + 0.02 + 0.008
  • 4 + 2 + 0.008
✓ 4 + 0.2 + 0.008
4 ones, 2 tenths = 0.2, 0 hundredths, and 8 thousandths = 0.008.
How is the number 0.046 read?
  • Forty-six thousandths
  • Forty-six hundredths
  • Forty-six tenths
  • Four hundred sixty thousandths
✓ Forty-six thousandths
The last digit (6) is in the thousandths place, so the whole number is read: forty-six thousandths (46/1000).

FAQ about the Place Value Through Thousandths lesson

What is the value of the digit 7 in 3.274?

The digit 7 is in the hundredths place, so its value is 0.07, or seven hundredths.

What is the expanded form of 4.208?

Write the value of each digit and add them: 4 + 0.2 + 0.008. We don't write the zero because it adds no value.

How do I study the lesson Place Value Through Thousandths 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 ⁦1-3⁩ Model Decimals ⁦1-5⁩ Compare Decimals ⁦1-6⁩ Order Numbers and Decimals ⁦1-7⁩ Problem-Solving Strategy: Guess and Check All Math Fifth Grade, Primary lessons →
← ⁦1-3⁩ Model Decimals ⁦1-5⁩ Compare Decimals →