Decimal Division: Conquer Dividing Decimals by Whole Numbers!

Mathematics Grades 5th Grade 6:03 Video
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Lesson Description

Learn how to confidently divide decimals by whole numbers with this step-by-step lesson. We'll cover setting up the problem, placing the decimal, and solving with long division. Get ready to become a decimal division master!

Video Resource

How to Divide a Decimal by a Whole Number | Math with Mr. J

Math with Mr. J

Duration: 6:03
Watch on YouTube

Key Concepts

  • Dividend and Divisor
  • Decimal Placement in Division
  • Long Division Algorithm

Learning Objectives

  • Students will be able to identify the dividend and divisor in a decimal division problem.
  • Students will be able to correctly place the decimal point in the quotient when dividing a decimal by a whole number.
  • Students will be able to use the long division algorithm to divide decimals by whole numbers, including adding zeros as needed.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing the terms dividend and divisor. Briefly discuss the concept of decimals and their place value. Introduce the video 'How to Divide a Decimal by a Whole Number | Math with Mr. J'. Explain that the video will demonstrate how to divide decimals by whole numbers using the long division method.
  • Video Viewing (10 mins)
    Play the video 'How to Divide a Decimal by a Whole Number | Math with Mr. J'. Encourage students to take notes on the steps involved in decimal division.
  • Guided Practice (15 mins)
    Work through the two examples from the video on the board, step-by-step. Emphasize the importance of bringing the decimal point straight up into the quotient. Discuss how to add zeros to the dividend if needed to continue the division process. Ask students to solve similar problems individually, providing assistance as needed.
  • Independent Practice (15 mins)
    Provide students with a worksheet containing decimal division problems. Encourage them to work independently and apply the steps learned from the video and guided practice. Circulate to answer questions and provide support.
  • Review and Wrap-up (5 mins)
    Review the key concepts of decimal division. Answer any remaining questions. Preview the next lesson topic.

Interactive Exercises

  • Decimal Division Challenge
    Divide the class into teams. Present each team with a decimal division problem. The first team to correctly solve the problem on the board wins a point. Continue with different problems until one team reaches a predetermined score.

Discussion Questions

  • What is the first step in dividing a decimal by a whole number?
  • Why is it important to bring the decimal point straight up?
  • What do you do if you run out of digits in the dividend but still have a remainder?

Skills Developed

  • Long Division
  • Decimal Place Value
  • Problem Solving

Multiple Choice Questions

Question 1:

In the problem 6.25 ÷ 5, which number is the divisor?

Correct Answer: 5

Question 2:

When dividing a decimal by a whole number, what is the first thing you should do with the decimal point?

Correct Answer: Bring it straight up into the answer

Question 3:

What is 12.6 ÷ 2?

Correct Answer: 6.3

Question 4:

If you have a remainder after bringing down the last digit in the dividend, what should you do?

Correct Answer: Add a zero to the dividend and bring it down

Question 5:

What is 25.5 ÷ 3?

Correct Answer: 8.5

Question 6:

What is the dividend in the problem 10.5 ÷ 5?

Correct Answer: 10.5

Question 7:

What is 4.8 ÷ 6?

Correct Answer: 0.8

Question 8:

What should you do if you run out of numbers to bring down and you still have a remainder?

Correct Answer: Add a zero to the dividend

Question 9:

What is 9.6 ÷ 4?

Correct Answer: 2.4

Question 10:

What is 15.0 ÷ 5?

Correct Answer: 3

Fill in the Blank Questions

Question 1:

The number being divided is called the ________.

Correct Answer: dividend

Question 2:

The number you are dividing by is called the ________.

Correct Answer: divisor

Question 3:

When dividing decimals, you bring the decimal point straight ____.

Correct Answer: up

Question 4:

If you have a remainder and no more numbers to bring down, you can add a ____ to the dividend.

Correct Answer: zero

Question 5:

4.2 ÷ 2 = ____

Correct Answer: 2.1

Question 6:

6.3 ÷ 3 = ____

Correct Answer: 2.1

Question 7:

The answer to a division problem is called the _________.

Correct Answer: quotient

Question 8:

8.4 ÷ 4 = ______

Correct Answer: 2.1

Question 9:

10.0 ÷ 2 = ______

Correct Answer: 5

Question 10:

12.6 ÷ 6 = ______

Correct Answer: 2.1

Educational Standards

5.N.2.2:Divide multi-digit numbers, by one- and two-digit divisors, based on knowledge of place value, including but not limited to standard algorithms. 5.N.2.3:Recognize that remainders can be represented in a variety of ways, including a whole number, fraction, or decimal. Determine the most meaningful form of a remainder based on the context of the problem. 5.N.1.2:Read, write, and represent decimals using place value to describe decimal numbers including fractional numbers as small as thousandths and whole numbers up to seven digits.

Teaching Materials

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