Using Partial Quotients to Record Sharing
Using Partial Quotients to Record Sharing is a Grade 4 math skill in enVision Mathematics, Chapter 5: Use Strategies and Properties to Divide by 1-Digit Numbers. Students use the partial quotients method to record division by sharing place values step by step, then adding partial quotients for the final answer.
Key Concepts
The partial quotients algorithm is a method for recording the steps of sharing division. Each time you share a place value, you record the result as a partial quotient. The amount shared is multiplied by the divisor and subtracted from the dividend to find what remains to be divided.
Common Questions
How do you use partial quotients to record sharing division?
Share the largest place value possible, record how many per group as the first partial quotient, subtract, then move to the next place value. Add all partial quotients at the end.
What is the difference between partial quotients and standard long division?
Partial quotients breaks division into sharing by place value, recording each step separately. Standard long division combines these steps into a single process.
What is an example of using partial quotients to share?
To find 75 divided by 3: share 6 tens (quotient 20), remainder 15. Share 15 ones (quotient 5), remainder 0. Total quotient: 20 plus 5 equals 25.
How do you handle a remainder with partial quotients?
After all sharing steps, the amount left over that is smaller than the divisor is the remainder. For example, 138 divided by 4 gives quotient 34 with remainder 2.
What chapter covers sharing division with partial quotients in enVision Grade 4?
Using partial quotients to record sharing is covered in Chapter 5: Use Strategies and Properties to Divide by 1-Digit Numbers in enVision Mathematics Grade 4.