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Lesson ⁦1-1⁩: Place Value Through Billions

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?

In this lesson, students learn the place values of large numbers up to the billions, and how digits are grouped into periods of three places. Understanding place value is the foundation for reading large numbers such as populations and distances.

  • Reads and writes numbers through the billions in standard and word form
  • Identifies the place and value of a digit in a large number
  • Writes a number in expanded form
  • Distinguishes the periods of a number: ones, thousands, millions, and billions

💡 Tip: Split the number into periods of three digits starting from the right and put a comma between periods, then read each period and say its name.

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Worked examples from the Place Value Through Billions lesson questions

What is the value of the digit 6 in the number 6,452,310,000?
  • 6,000,000,000
  • 600,000,000
  • 60,000,000
  • 6,000,000
✓ 6,000,000,000
The digit 6 is in the billions place, so its value is six billion = 6,000,000,000.
What is the place of the digit 3 in the number 4,038,215,600?
  • Ten millions
  • Hundred millions
  • Millions
  • Ten thousands
✓ Ten millions
The millions period in the number is 038: the zero is in the hundred-millions place, 3 is in the ten-millions place, and 8 is in the millions place.
Show more examples (3)
What is the standard form of the number: three billion, twenty million, five hundred thousand?
  • 3,020,500,000
  • 3,200,500,000
  • 3,020,050,000
  • 320,500,000
✓ 3,020,500,000
The billions period is 3, the millions period is 020, the thousands period is 500, and the ones period is 000.
Which number is read: seven hundred five million, two hundred four thousand?
  • 705,204,000
  • 750,204,000
  • 705,240,000
  • 75,204,000
✓ 705,204,000
Seven hundred five million = 705 in the millions period, and two hundred four thousand = 204 in the thousands period.
How many millions are in one billion?
  • 1,000
  • 100
  • 10
  • 10,000
✓ 1,000
One billion = 1,000,000,000 = 1,000 × 1,000,000, that is, one thousand million.

FAQ about the Place Value Through Billions lesson

What is the difference between a digit's place and its value?

The place is the digit's position in the number, and the value is what the digit represents in that position. In 4,500,000 the digit 5 is in the hundred-thousands place and its value is 500,000.

How many zeros are in a billion?

A billion equals one thousand million and is written 1,000,000,000: the digit 1 followed by nine zeros.

How do I study the lesson Place Value Through Billions 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

⁦1-2⁩ Compare Numbers ⁦1-3⁩ Model Decimals ⁦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 →