Extending Place Value to Thousandths
Extending Place Value to Thousandths is a skill on Pengi from Lesson 1: Reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths. in Eureka Math, Grade 5.
Key Concepts
Property Dividing a place value unit by 10 results in the next smaller unit to its right. This pattern extends the place value chart to include decimals such as tenths, hundredths, and thousandths. $$1 \text{ hundredth} \div 10 = 1 \text{ thousandth}$$ $$0.01 \times \frac{1}{10} = 0.001$$.
$1000000 \times \frac{1}{10} = 100000$ (one million ÷ 10 = one hundred thousand) $100000 \times \frac{1}{10} = 10000$ (one hundred thousand ÷ 10 = ten thousand) $10000 \times \frac{1}{10} = 1000$ (ten thousand ÷ 10 = one thousand) $1 \times \frac{1}{10} = 0.1$ (one ÷ 10 = one tenth) $0.1 \times \frac{1}{10} = 0.01$ (one tenth ÷ 10 = one hundredth) $0.01 \times \frac{1}{10} = 0.001$ (one hundredth ÷ 10 = one thousandth).
Common Questions
What is Extending Place Value to Thousandths?
Extending Place Value to Thousandths is a skill on Pengi from Lesson 1: Reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths. in Eureka Math, Grade 5.
What grade level is Extending Place Value to Thousandths for?
Extending Place Value to Thousandths is part of the Grade 5 Math curriculum, covered in Eureka Math, Grade 5. It is designed for students studying Math at the Grade 5 level.
How can I learn Extending Place Value to Thousandths?
Pengi offers an AI-guided lesson for Extending Place Value to Thousandths that walks you through the key concepts step by step. The lesson is aligned to Eureka Math, Grade 5 so the content matches what you see in class.
How do I practice Extending Place Value to Thousandths?
After learning the concept, use the Practice mode to work through targeted exercises on Extending Place Value to Thousandths. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Extending Place Value to Thousandths?
Extending Place Value to Thousandths is covered in Eureka Math, Grade 5, specifically in Chapter 1: Multiplicative Patterns on the Place Value Chart under Lesson 1: Reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths.. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Extending Place Value to Thousandths free to study on Pengi?
Yes, the core Learn and Practice modes for Extending Place Value to Thousandths are available for free on Pengi. No credit card is required to start studying.