What is place value? How does the place value of a digit compare to the place value of the digit on its right?

Place value is the value of a digit based on its place in a number. The place value of a digit is 10 times the place value of the digit to its right.

What is 672 in expanded notation?

6 × 100 + 7 × 10 + 2 × 1, or 6 one hundreds, 7 tens, and 2 ones.

How can place value help you divide?

When I break a number up to divide using an area model, I break it apart by place value. When I divide a number using partial quotients I try to find the largest multiple of the divisor so that there is none of the greatest place value left after I subtract.

What is one strategy for dividing 480 &#247 12?

Students may use partial quotients or an area model. Some may think of the problem as 48 &#247 12 = 4, and then multiply by 10 to get 40.

What are the four repeated steps of the standard algorithm for long division?

Divide, Multiply, Subtract, Bring down

How does multiplication help you divide?

When I divide, I can look at multiples of the divisor to help me find the dividend.

How do you know when you are done with a long division problem?

When there are no more digits to bring down and I have a remainder of 0, or when there are no more digits to bring down and the remainder is smaller than the divisor.

Why use a standard algorithm to divide?

The standard algorithm is a very efficient way to divide.

How can you use the standard algorithm to find 4,564 &#247 7?

I can start by making a list of multiples of 7. 4 is less than 7, so consider multiples of 7 close to 45. Multiply: 7 × 6 = 42. Subtract: 45 – 42 = 3. Bring down the 6 to make 36. Find multiples of 7 close to 36. Multiply: 7 × 5 = 35. Subtract: 36 – 35 = 1. Bring down the 4 to make 14. Find multiples of 7 close to 14. Multiply: 7 × 2 = 14. Subtract: 14 – 14 = 0. No numbers remain to bring down, and the remainder is 0. 4,564 &#247 7 = 652.

Long Division (Standard Algorithm for Division)

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What you will learn from this videoWhat you will learn

We will learn how to divide using the standard algorithm.
We’ll see that we can use the standard algorithm to divide 2, 3 and 4 digit numbers.
And we'll see how this knowledge can help us do experiments, bake cookies, and pollinate trees!

Discussion Questions
- Before Video
  What is place value? How does the place value of a digit compare to the place value of the digit on its right?ANSWER
  - Place value is the value of a digit based on its place in a number. The place value of a digit is 10 times the place value of the digit to its right.
  In what place is the digit 7 in the number 27,342?ANSWER
  - Thousands place.
  What is 672 in expanded notation?ANSWER
  - 6 × 100 + 7 × 10 + 2 × 1, or 6 one hundreds, 7 tens, and 2 ones.
  How can place value help you divide?ANSWER
  - When I break a number up to divide using an area model, I break it apart by place value. When I divide a number using partial quotients I try to find the largest multiple of the divisor so that there is none of the greatest place value left after I subtract.
  What is one strategy for dividing 480 ÷ 12?ANSWER
  - Students may use partial quotients or an area model. Some may think of the problem as 48 ÷ 12 = 4, and then multiply by 10 to get 40.
- After Video
  What are the four repeated steps of the standard algorithm for long division?ANSWER
  - Divide, Multiply, Subtract, Bring down
  How does multiplication help you divide?ANSWER
  - When I divide, I can look at multiples of the divisor to help me find the dividend.
  How do you know when you are done with a long division problem?ANSWER
  - When there are no more digits to bring down and I have a remainder of 0, or when there are no more digits to bring down and the remainder is smaller than the divisor.
  Why use a standard algorithm to divide?ANSWER
  - The standard algorithm is a very efficient way to divide.
  How can you use the standard algorithm to find 4,564 ÷ 7?ANSWER
  - I can start by making a list of multiples of 7. 4 is less than 7, so consider multiples of 7 close to 45. Multiply: 7 × 6 = 42. Subtract: 45 – 42 = 3. Bring down the 6 to make 36. Find multiples of 7 close to 36. Multiply: 7 × 5 = 35. Subtract: 36 – 35 = 1. Bring down the 4 to make 14. Find multiples of 7 close to 14. Multiply: 7 × 2 = 14. Subtract: 14 – 14 = 0. No numbers remain to bring down, and the remainder is 0. 4,564 ÷ 7 = 652.
Vocabulary
- Area model DEFINE
- Partial quotients DEFINE
- Algorithm DEFINE
- Long division DEFINE
- Standard algorithm for division DEFINE
- Partitioning DEFINE
- Dividend DEFINE
- Divisor DEFINE
Reading Material
Practice Word Problems
Practice Number Problems
Lesson Plan
Teacher Guide
Assessment
Online Quiz Game Quiz PDF Exit Ticket