Division with Regrouping in the Tens
This Grade 4 Eureka Math skill teaches the division process when a remainder exists in the tens place that must be decomposed into ones before division can continue. When dividing the tens produces a remainder, students exchange each remaining ten for 10 ones and add them to the existing ones, then divide the combined ones. For example, 75 divided by 3: divide tens: 7 tens divided by 3 = 2 tens with 1 ten remaining. Exchange that 1 ten for 10 ones, combine with 5 ones to get 15 ones. Divide: 15 divided by 3 = 5. Answer: 25. This skill is from Chapter 13 of Eureka Math Grade 4.
Key Concepts
When dividing, if a remainder exists in the tens place, it must be decomposed into ones. Each remaining ten becomes 10 ones, which are then added to the original ones to continue the division process.
Common Questions
What does division with regrouping in the tens mean?
When the tens digit cannot be divided evenly, the leftover tens are exchanged for ones (each ten becomes 10 ones), and those ones are combined with the existing ones digit before dividing again.
How do you solve 75 divided by 3 using this method?
Divide tens: 7 divided by 3 = 2 tens, remainder 1 ten. Exchange 1 ten for 10 ones: now you have 10+5=15 ones. Divide ones: 15 divided by 3 = 5. Answer: 25.
How do you exchange a ten for ones in this process?
Each remaining ten becomes 10 ones. Add those 10 ones to the original ones digit to get the total ones available to divide.
Why is the regrouping step necessary in this division?
When you cannot distribute the tens evenly, the leftover ten must be broken into smaller units (ones) before you can continue distributing. This mirrors the borrowing process in subtraction.
What do you do if the tens digit is smaller than the divisor at the start?
If the tens digit alone is too small to divide by the divisor, immediately decompose all the tens into ones and divide the combined total of ones.