Decimal Division Decoded: Dividing Decimals by Decimals

Mathematics Grades 5th Grade 6:42 Video
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Lesson Description

Learn how to divide decimals by decimals with Mr. J! This lesson covers the steps to correctly divide decimals by decimals, ensuring a solid understanding of this important math concept.

Video Resource

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

Math with Mr. J

Duration: 6:42
Watch on YouTube

Key Concepts

  • Divisor
  • Dividend
  • Place Value
  • Multiplying by Powers of 10

Learning Objectives

  • Students will be able to identify the divisor and dividend in a decimal division problem.
  • Students will be able to convert a decimal divisor into a whole number by multiplying by a power of 10.
  • Students will be able to accurately divide decimals by decimals using the standard algorithm.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing the terms 'divisor' and 'dividend'. Briefly discuss why it's easier to divide by a whole number.
  • Video Viewing (10 mins)
    Watch 'How to Divide a Decimal by a Decimal | Math with Mr. J'. Encourage students to take notes on the steps involved.
  • Guided Practice (15 mins)
    Work through examples similar to those in the video, emphasizing the importance of moving the decimal point in both the divisor and dividend. Have students solve problems alongside you.
  • Independent Practice (15 mins)
    Provide students with a worksheet or set of problems to solve independently. Circulate to provide assistance as needed.
  • Review and Wrap-up (5 mins)
    Review the key steps of dividing decimals by decimals. Answer any remaining questions.

Interactive Exercises

  • Decimal Division Challenge
    Present students with a series of decimal division problems with varying levels of difficulty. Students can work individually or in pairs to solve the problems. Offer small prizes for the fastest and most accurate solutions.
  • Whiteboard Practice
    Divide students into small groups and give each group a whiteboard. Call out decimal division problems and have each group solve them on their whiteboard. Then have groups compare answers.

Discussion Questions

  • Why is it important to make the divisor a whole number before dividing?
  • What happens to the decimal point in the dividend when you multiply the divisor by 10?
  • How can you check your answer to a division problem?

Skills Developed

  • Problem-solving
  • Critical Thinking
  • Procedural Fluency
  • Attention to Detail

Multiple Choice Questions

Question 1:

In the problem 5.76 ÷ 0.3, which number is the divisor?

Correct Answer: 0.3

Question 2:

To make 0.25 a whole number, you need to multiply it by:

Correct Answer: 100

Question 3:

If you multiply the divisor by 10, what must you do to the dividend?

Correct Answer: Multiply by 10

Question 4:

What is 12.6 ÷ 0.2?

Correct Answer: 63

Question 5:

What is the first step in dividing 7.2 ÷ 0.6?

Correct Answer: Multiply 0.6 by 10

Question 6:

If you move the decimal point two places to the right in the divisor, how many places do you move it in the dividend?

Correct Answer: Two places to the right

Question 7:

What is 9.6 ÷ 1.2?

Correct Answer: 8

Question 8:

What does 'dividend' mean in a division problem?

Correct Answer: The number you are splitting up

Question 9:

In the problem 15.75 ÷ 0.25, how many places do you move the decimal point in 0.25 to make it a whole number?

Correct Answer: Two

Question 10:

What is 4.8 ÷ 0.8?

Correct Answer: 6

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:

To make a decimal divisor a whole number, you multiply by a power of ________.

Correct Answer: 10

Question 4:

If you multiply the divisor by 100, you must also multiply the ________ by 100.

Correct Answer: dividend

Question 5:

When dividing decimals, bring the ________ straight up once the divisor is a whole number.

Correct Answer: decimal

Question 6:

Moving the decimal point to the right makes the number ________.

Correct Answer: larger

Question 7:

0.5 can also be written as ________.

Correct Answer: 5/10

Question 8:

If you don't have enough digits in the dividend, you can add a ________.

Correct Answer: zero

Question 9:

Dividing decimals is like dividing whole numbers after adjusting the ________.

Correct Answer: decimal

Question 10:

The answer to a division problem is called the ________.

Correct Answer: quotient

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.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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