Section 1
The 10-to-1 Relationship Between Places
Property
In our base-10 number system, the value of each place is 10 times greater than the value of the place to its immediate right.
In this Grade 4 lesson from enVision Mathematics Chapter 1, students learn that a digit in one place has ten times the value of the same digit in the place to its right, exploring place value relationships across ones, tens, hundreds, thousands, and beyond. Using place-value blocks and real-world problems, students practice multiplying and dividing by 10 to understand how place values scale. The lesson builds students' ability to generalize patterns in multi-digit numbers and compare the values of repeated digits within the same number.
Section 1
The 10-to-1 Relationship Between Places
In our base-10 number system, the value of each place is 10 times greater than the value of the place to its immediate right.
Section 2
The 1-to-10 Relationship Between Places
The value of a digit in a given place is equal to the value of the same digit in the place to its immediate left divided by 10.
This property explains the relationship between adjacent place values as you move from left to right. Each time you move one place to the right, the value of the digit becomes ten times smaller. This is the same as dividing the value of the digit by 10. Understanding this division relationship is key to comparing the value of digits within a number.
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Section 1
The 10-to-1 Relationship Between Places
In our base-10 number system, the value of each place is 10 times greater than the value of the place to its immediate right.
Section 2
The 1-to-10 Relationship Between Places
The value of a digit in a given place is equal to the value of the same digit in the place to its immediate left divided by 10.
This property explains the relationship between adjacent place values as you move from left to right. Each time you move one place to the right, the value of the digit becomes ten times smaller. This is the same as dividing the value of the digit by 10. Understanding this division relationship is key to comparing the value of digits within a number.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter