Place Value Patterns in Division
Place Value Patterns in Division is a Grade 4 math skill in enVision Mathematics, Chapter 5: Use Strategies and Properties to Divide by 1-Digit Numbers. Students extend basic division facts using place value to divide multiples of 10, 100, and 1,000.
Key Concepts
To divide multiples of 10, 100, or 1,000, you can use a basic division fact and place value. If you know a basic fact like $a \div b = c$, you can extend it: $$ \begin{array}{c} a \div b = c \\ (a \times 10) \div b = c \times 10 \\ (a \times 100) \div b = c \times 100 \end{array} $$.
Common Questions
What are place value patterns in division?
Place value patterns let you use a basic fact to divide larger numbers. If you know 24 divided by 6 equals 4, then 240 divided by 6 equals 40, and 2400 divided by 6 equals 400.
How do you use place value patterns to divide?
Find the basic division fact hidden in the large number. Count the extra zeros to determine how many zeros the quotient will have. For example, 4500 divided by 5 uses the fact 45 divided by 5 equals 9, giving 900.
Why do place value patterns work in division?
Dividing a number by a single digit is equivalent to dividing the basic fact and then keeping track of the place value magnitude, which is reflected in the number of zeros in the quotient.
What is an example of place value patterns in division?
For 2,400 divided by 6, recognize the basic fact 24 divided by 6 equals 4, then extend: since 2400 is 24 times 100, the answer is 4 times 100 equals 400.
What chapter covers place value patterns in division in enVision Grade 4?
Place value patterns in division are covered in Chapter 5: Use Strategies and Properties to Divide by 1-Digit Numbers in enVision Mathematics Grade 4.