NYS Math Module 1Lesson 15

I will be able to: multiply by exponents 5.NBT.2 find the quotient 5.NBT.7

Objective: Divide decimals using place value understanding, including remainders in the smallest unit.

Sprint – Multiply by Exponents**8 minutes**

get set,

GO!

On your mark,

Find the Quotient

0.48 ÷ 2 = ______

On your place value chart, draw 48 hundredths in number disks.

48 hundredths ÷ 2 = ___ hundredths = ___ tenths____hundredths

Now solve this problem.

24 2 4

Now solve using an algorithm. 0.4820.

0 4 08 -

2

8-0

4

0.24

96 tenths ÷ 8 = ______Solve using an algorithm.

9.681.2

8 16

-

16-0

1.2

0.42 ÷ 3 = ______Illustrate on a place value chart.

42 hundredths ÷ 3 = ___ hundredths = ___ tenths____hundredths 14 1 4

0.14Now solve it.

3.52 ÷ 2 = ______1.76

Jose bought a bag of 6 oranges for $2.82. He also bought 5 pineapples. He gave the cashier $20 and received

$1.43 change. What did each pineapple cost.

Word Problem

$20.00- 1.43$18.57

$18.57 - 2.82$15.75

15.755 3.15

15 -

05-07

25$3.15 ea.

Concept Development

1.7 ÷ 2 = ______

On your place value chart, show 1.7 by drawing number disks.

Let’s begin with our largest units. Can 1 be divided into 2 groups?

How many ones does each group get?

no

zeroHow can we keep sharing?

Draw the exchange on your boards. How many tenths do we have?

By exchanging the one for 10 tenths.

17 tenths

17 tenths divided by 2. How many tenths can we share with each group?

How many tenths are left over?

8one

How can we keep sharing?

Draw the exchange on your boards. How many hundredths do we have?

By exchanging one tenth for 10 hundredths.

10 hundredths

Can we share 10 hundredths evenly? yes

1.72 0.85

1 6 -

10-1

0

0

0

What is the difference between these two problems different?

1.72 0.85

1 6 -

10-1

0

0

0

6.72-

-3

41.

7

6

2

8

42 24

320

6.72 ÷ 4 = 1.68 1.7 ÷ 2 = 0.85

Discuss with a partner.

One problem is divided by 4 and the other by 2. One has the dividend to the hundredths and the other to the tenths.For today’s problem, we had to think of 7 tenths as 70 hundredths.

1.7

1.7We added a 0 to keep

sharing.

Solve this problem using an algorithm, while I record on a place value chart.

2.60-

-2

40.

6

6

0

5

02 24

200

2.6 ÷ 4 = _____

First, I illustrate my problem on a place value chart. You write your problem using an algorithm.

0.65

Since we can’t share 2 ones, we regroup adding 20 tenths to the tenths.We share or divide 26 tenths by 4. So each group gets 6 tenths. We regroup the remaining 2 tenths.

We divide 20 hundredths by 4. Each group gets 5 hundredths. Our answer is 0.65.

Divide.

17 ÷ 4 = ______4.25What do you notice? Share with a partner. We have a remainder.

In 4th grade we recorded this as r1. What have we done today that lets us keep

sharing?We regroup. We exchange ones for tenths and tenths for hundredths.

Solve this problem with a partner. One of you solve using an algorithm and the other

using a place value chart.

2

0174 04.25

16 -

8-1

.0

0

0

Add zeros.

Solve. 7.7 ÷ 4 = ______1.925

1

0074 1.925

4 -

3 6-3

.7

7

0 8-

20 20- 0

Solve. 0.84 ÷ 4 = ______0.21

0.844 0.21

0 8 -

04-04

0

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Worksheets in this file are from NYS Math Module 1 Grade 5. I have simply minimized the pages to reduce the use of paper. For the entire

module visit:www.engageny.org/resource/grade-5-mathematics-module-2