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Table of Contents
Large numbers can be threatening to solve. However, dividing numbers that have up to four-digits can be easily found by doing a step-by-step solution using place values.
See the fact file below for more information on the up to four-digit division or alternatively, you can download our 24-page Numbers & Operations in Base Ten: Up to Four-Digit Division CCSS 4.NBT.6 worksheet pack to utilise within the classroom or home environment.
Key Facts & Information
LEARNING OBJECTIVE:
- At the end of the lesson, the student will be able to find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.
A NOTE FOR THE TEACHER:
- When dividing a number that is up to four-digits, take note of the following:
- Review how to multiply multi-digit numbers.
- Review the division table.
- This is similar to multiplying multi-digit numbers since we use area models.
- The digit of the remainder is always less than the divisor.
THEORY:
- Large numbers can be threatening to solve. However, dividing numbers that have up to four-digits can be easily found by doing a step-by-step solution using place values.
- Consider 2358 Γ· 3:
- First, rewrite the equation into a division house wherein the divisor is outside.
- Once you are left with 0, you have the answer by just composing all the numbers listed in order: 0, 7, 8, and 6 is equal to the number 789
- Thus, 2358 Γ· 3 = 786
- Another method is by drawing a rectangle:
- How many 3s are in 2? 0 (0 thousands) βΆ 0x3 = 0
- How many 3s are in 23? 7 (7 hundreds) βΆ 7×3 = 21, 23-21=2
- How many 3s are in 25? 8 (8 tens) βΆ 8×3 = 25, 25-24=1
- How many 3s are in 18? 6 (6 ones) βΆ 6×3 = 18, 18-18=0
- If you reach 0, you have no remainder. If you reach a value less than the divisor, you have a remainder of that value.
- We can also use our knowledge of multi-digit multiplication and create an area model:
- What do we multiply to 3 to get 2358?
- We can decompose 2358 into partial quotients.
- How many thousands are there?
- We know that we cannot multiply 1000 to 3 because 2000 is less than 3000.
- How many hundreds are there?
- Since we can multiple 100 to 3 to get 300, we can multiply 700 to 3 for 2100.
- This leaves us with 258. How many tens are there in 258?
- We can multiply 80 to 3 for 240.
- This leaves us with 18 left. How many ones are there?
- Multiplying 3 by 6 will get a value of 18. This leaves no remainder.
- Therefore, ? = 700 + 80 + 6 = 786
- We multiply 786 to 3 in order to get 2358.
- These are the methods to divide values that have up to four-digits. Take note that anyway is possible. Also, remember that the remainder is found if that value is not divisible by the divisor anymore.
Numbers & Operations in Base Ten: Up to Four-Digit Division CCSS 4.NBT.6 Worksheets
This is a fantastic bundle that includes everything you need to know about Numbers & Operations in Base Ten: Up to Four-Digit Division across 24 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 4.NBT.6 for Numbers & Operations in Base Ten: Up to Four-Digit Division.
Table of contents:
- A lesson plan
- Warm-up activity
- Math theory explained
- Assisted learning activities
- Independent learning activities
- Extension activities and games
- Answer keys
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Use With Any Curriculum
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