Divide Whole Numbers Using Partial Quotients
Divide Whole Numbers Using Partial Quotients is a flexible division strategy where students repeatedly subtract friendly multiples of the divisor from the dividend, accumulating partial quotients that sum to the final answer. Covered in Illustrative Mathematics Grade 6, Unit 5: Arithmetic in Base Ten, this approach builds Grade 6 number sense and understanding of division. Unlike the standard algorithm, partial quotients allow students to choose any convenient multiple, making the method accessible and adaptable.
Key Concepts
Partial quotients is a method for solving division problems by repeatedly subtracting "friendly" multiples of the divisor from the dividend. The final quotient is the sum of all the partial quotients.
Common Questions
What is the partial quotients method of division?
Partial quotients involves subtracting friendly multiples of the divisor from the dividend repeatedly. The sum of all the multiples used equals the final quotient.
How do you use partial quotients to divide 245 by 5?
Subtract multiples of 5 from 245 in convenient steps (e.g., 5×40=200, leaving 45; then 5×9=45, leaving 0). Add the partial quotients: 40+9=49, so 245÷5=49.
How is partial quotients different from the standard algorithm?
Partial quotients does not require choosing the exact digit at each step. Any reasonable multiple works, making it more flexible and less prone to errors from strict digit selection.
Where is divide whole numbers using partial quotients in Illustrative Mathematics Grade 6?
This strategy is in Unit 5: Arithmetic in Base Ten of Illustrative Mathematics Grade 6.
Can partial quotients be used with remainders?
Yes. After all divisor multiples have been subtracted, any remaining amount less than the divisor is the remainder.