Decimal Place Value Relationships
Decimal Place Value Relationships is a skill on Pengi from Lesson 3: Decimals to Thousandths in enVision, Mathematics, Grade 5.
Key Concepts
Property The value of a digit in a decimal number is $10$ times the value of the digit to its right and $\frac{1}{10}$ the value of the digit to its left.
Examples In the number $0.22$, the value of the $2$ in the tenths place ($0.2$) is 10 times the value of the $2$ in the hundredths place ($0.02$). In the number $0.888$, the value of the $8$ in the hundredths place ($0.08$) is $\frac{1}{10}$ the value of the $8$ in the tenths place ($0.8$). In $0.055$, the value of the $5$ in the hundredths place ($0.05$) is 10 times the value of the $5$ in the thousandths place ($0.005$).
Explanation Our number system is based on powers of ten. As you move from left to right on the place value chart, the value of each position is one tenth of the value of the position to its left. This means a digit in one place is ten times as great as the same digit in the place to its right. This relationship holds true for both whole numbers and decimals.
Common Questions
What is Decimal Place Value Relationships?
Decimal Place Value Relationships is a skill on Pengi from Lesson 3: Decimals to Thousandths in enVision, Mathematics, Grade 5.
What grade level is Decimal Place Value Relationships for?
Decimal Place Value Relationships is part of the Grade 5 Math curriculum, covered in enVision, Mathematics, Grade 5. It is designed for students studying Math at the Grade 5 level.
How can I learn Decimal Place Value Relationships?
Pengi offers an AI-guided lesson for Decimal Place Value Relationships that walks you through the key concepts step by step. The lesson is aligned to enVision, Mathematics, Grade 5 so the content matches what you see in class.
How do I practice Decimal Place Value Relationships?
After learning the concept, use the Practice mode to work through targeted exercises on Decimal Place Value Relationships. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Decimal Place Value Relationships?
Decimal Place Value Relationships is covered in enVision, Mathematics, Grade 5, specifically in Chapter 1: Understand Place Value under Lesson 3: Decimals to Thousandths. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Decimal Place Value Relationships free to study on Pengi?
Yes, the core Learn and Practice modes for Decimal Place Value Relationships are available for free on Pengi. No credit card is required to start studying.