In this Grade 4 Eureka Math lesson from Chapter 13, students learn to solve division word problems that produce remainders, interpreting both the quotient and the remainder in context. Using arrays and tape diagrams, students practice dividing two-digit numbers by one-digit numbers and determine whether the quotient represents the size of a group or the number of groups. The lesson builds on multiplication fluency to develop a foundational understanding of division with remainders.
Section 1
Representing Remainders in Division
When a number (the dividend) cannot be divided evenly by another number (the divisor), the amount left over is called the remainder. The remainder must be a whole number greater than or equal to 0 and less than the divisor. The relationship can be expressed as:
Section 2
Interpreting Quotients and Remainders in Word Problems
The final answer to a division word problem depends on the question being asked. After finding the quotient () and remainder (), you must decide if the answer is the quotient, the quotient plus one, or the remainder itself based on the problem's context.
Expand to review the lesson summary and core properties.
Section 1
Representing Remainders in Division
When a number (the dividend) cannot be divided evenly by another number (the divisor), the amount left over is called the remainder. The remainder must be a whole number greater than or equal to 0 and less than the divisor. The relationship can be expressed as:
Section 2
Interpreting Quotients and Remainders in Word Problems
The final answer to a division word problem depends on the question being asked. After finding the quotient () and remainder (), you must decide if the answer is the quotient, the quotient plus one, or the remainder itself based on the problem's context.