5th Grade Module 2 – Lesson 24 Lesson 24: I can divide decimal dividends by multiples of 10, reasoning about the placement of the decimal point and making connections to a written method. 5th Grade Module 2 – Lesson 24

Rename Tenths & Hundredths Write each number as a decimal. 20 hundredths 2,000 hundredths 5,800 hundredths 9 hundredths 5,834 hundredths 950 hundredths 90 tenths 9 tenths 10 tenths 90 tenths 100 tenths 600 tenths 657 tenths 5th Grade Module 2 – Lesson 24

Say the division sentence in unit form. Divide Decimals Say the division sentence in unit form. 15 ones ÷ 5 = 15 ones divided by 5 equals three ones 5th Grade Module 2 – Lesson 24

Say the division sentence in unit form. Divide Decimals Say the division sentence in unit form. 15 tenths ÷ 5 = 15 tenths divided by 5 equals three tenths 5th Grade Module 2 – Lesson 24

Say the division sentence in unit form. Divide Decimals Say the division sentence in unit form. 15 hundredths ÷ 5 = 15 hundredths divided by 5 equals three hundredths 5th Grade Module 2 – Lesson 24

Say the division sentence in unit form. Divide Decimals Say the division sentence in unit form. 24 hundreds ÷ 6 = 24 hundreds divided by 6 equals 4 hundreds 5th Grade Module 2 – Lesson 24

Say the division sentence in unit form. Divide Decimals Say the division sentence in unit form. 24 hundredths ÷ 6 = 24 hundredths divided by 6 equals 4 hundredths 5th Grade Module 2 – Lesson 24

5th Grade Module 2 – Lesson 24 Application Problem A long-time runner compiled her training distances in the chart below. Fill in the missing values. Solution on next slide… 5th Grade Module 2 – Lesson 24

5th Grade Module 2 – Lesson 24 Solution 5th Grade Module 2 – Lesson 24

Draw 5 ten disks and 4 one disks on your white board. Concept Development 54 ÷ 10 Draw 5 ten disks and 4 one disks on your white board. Let’s solve this problem using place value disks. If 1 ten ÷ 10 = 1 one, What is 5 tens ÷ 10? If 1 one ÷ 10 = 1 tenth What is 4 ones ÷ 10? 10 0.1 4 ones ÷ 10 = 4 tenths 1 1 5 tens ÷ 10 = 5 ones 10 1 5 ones ÷ 10 4 tenths 10 1 1 10 So… 54 ÷ 10 = 5 ones 4 tenths or 5.4 10 5 tens 4 ones 5th Grade Module 2 – Lesson 24

5.4 ÷ 10 Let’s compare this with 54 ÷ 10 Concept Development 5.4 ÷ 10 Let’s compare this with 54 ÷ 10 Let’s draw place value disks to solve this problem. 5 ones ÷ 10 = 5 tenths 0.1 1 5 ones 0.01 4 tenths ÷ 10 = 4 hundredths Turn & Talk with your partner and compare these problems. 0.1 4 tenths ÷ 10 So… 5.4 ÷ 10 = 5 tenths 4 hundredths or 0.54 5th Grade Module 2 – Lesson 24

0.54 ÷ 10 Try solving this one with your partner. Use ink tools to draw solution or “click” for the solution 5th Grade Module 2 – Lesson 24

Think what these problems would look like on a place value chart. What pattern do you notice with the decimal? Think what these problems would look like on a place value chart. Tens Ones tenths hundrdths thousdths 5 4 5th Grade Module 2 – Lesson 24

54 ÷ 90 So, 54 ÷ 90 = 0.6 5.4 How is this problem different? So… Our divisor is 90! We can decompose 90 with 10 as a factor. Concept Development How is this problem different? 54 ÷ 90 To Divide 5.4 ÷ 9, think… 54 tenths ÷9 Now think first, What is 54 ÷ 10? Are we finished? NO! We still have to divide by 9! So… 54 ÷ 90 = 54 ÷ 10 ÷ 9 54 tenths ÷ 9 = 6 tenths = 0.6 5.4 ÷ 9 = 0.6 So, 54 ÷ 90 = 0.6 5th Grade Module 2 – Lesson 24

5.4 ÷ 90 So, 54 ÷ 90 = 0.06 .54 Let’s try this problem… So… 5.4 ÷ 90 = We can decompose 90 with 10 as a factor. Concept Development Let’s try this problem… 5.4 ÷ 90 To Divide 0.54 ÷ 9 think… 54 hundredths ÷9 Now think first, What is 5.4 ÷ 10? Are we finished? NO! We still have to divide by 9! So… 5.4 ÷ 90 = 5.4 ÷ 10 ÷ 9 54 hudths ÷ 9 = 6 hudths = 0.06 .54 ÷ 9 = 0.06 So, 54 ÷ 90 = 0.06 5th Grade Module 2 – Lesson 24

54 ÷ 900 So, 54 ÷ 900 = 0.06 .54 Let’s try this problem… So… We can decompose 90 with 100 as a factor. Concept Development Let’s try this problem… 54 ÷ 900 To Divide 0.54 ÷ 9 think… 54 hundredths ÷9 Now think first, What is 54 ÷ 100? Are we finished? NO! We still have to divide by 9! So… 54 ÷ 900 = 54 ÷ 100 ÷ 9 54 hudths ÷ 9 = 6 hudths = 0.06 .54 ÷ 9 = 0.06 So, 54 ÷ 900 = 0.06 5th Grade Module 2 – Lesson 24

Try These Problems with Your Partner 0.54 ÷ 90 5.4 ÷ 900 Share solutions in space below using ink tools.. 5th Grade Module 2 – Lesson 24

Get Ready to Complete the Problem Set on Your Own! Complete Pages 2.G.9 & 2.G.10 You will have 15-20 minutes to work. Try your Best! 5th Grade Module 2 – Lesson 24

5th Grade Module 2 – Lesson 24 LET’S Debrief Describe the pattern that you noticed in our lesson and problem set when a smaller number is divided by a greater number. In problem 1(l), by which factor of 90 did you divide first? Find someone who did it differently. Compare your approach and your quotients. Discuss 1(g) and 1(h). How is it possible that the divisors and wholes are different, yet the quotients are the same? 5th Grade Module 2 – Lesson 24

5th Grade Module 2 – Lesson 24 EXIT TICKET Page 2.G.11 5th Grade Module 2 – Lesson 24