How would you divide 1,315 ÷ 5?. In this lesson you will learn how to divide by using expanded...

How would you divide

1,315 ÷ 5?

In this lesson you will learn how to divide by using

expanded notation.

Let’s ReviewLet’s ReviewChallenging problems can be broken

into smaller parts

20 x 13 20 = 2 x 10

I know that 20 is 2 times 10

I can multiply 13 x 2 and get

26

Then I can multiply 26 x 10

and get 260

26 x 10 = 260

13 x 2 = 26

20 x 13 = 260

Let’s ReviewLet’s Review

Expanded notation

2,615 = 2,000 + 600

+ 10

+ 5

Let’s ReviewCore Lesson

1,315 ÷5

Smart rounding ≈ 1,500 ÷ 5

Smart estimate less than 300

1,500 divides easily by 5

Let’s ReviewCore Lesson 1,315 ÷ 5

This makes sense since our smart estimate was less than 300

10 ÷ 5= 2100 ÷ 5= 20

30 ÷ 5 = 6300 ÷ 5 = 60 0

263

1,315 ÷ 5 = 263

Dividend

Divisor Quotient

1000

2 10 160

x 5 = 1,315

1,315

÷5

÷5

÷5

÷5

300

5

2001,000 ÷ 5= 200

10 ÷5 = 2

+5

+ 10

+300= 1,000

5 ÷5 = 1

Let’s ReviewCore Lesson

There are 1,520 pencils for 10 students. How many pencils does each student get?

Smart rounding ≈ 1,500 ÷ 10

Smart estimate ≈150

1,500 divides easily by 10

Let’s ReviewCore Lesson 1,520 ÷ 10

This makes sense since our smart estimate was 150

10 ÷ 10= 1100 ÷ 10= 10

50 ÷ 10 = 5500 ÷ 10 = 50 0

152

1,520 ÷ 10 = 152

Dividend

Divisor Quotient 1,000

2 20

50

x 10 = 1,520

1,520

÷10

÷10

÷10

500

1001,000 ÷ 10= 100

20 ÷10 = 2

+0

+ 20

+500= 1,000

In this lesson you have learned how to divide

by using expanded notation.

Let’s ReviewGuided Practice

What is 1,250 ÷ 5?

Dividend

Divisor Quotient

Let’s ReviewExtension ActivitiesUse expanded notation to show the division

of 1,845 ÷ 5. Make a chart to show your work.

Sidney has 2,125 paper plates to put in 25 boxes. She estimated that she would put 100 plates in each box. Using expanded notation and a chart, show whether or not this is a good estimate.

Let’s ReviewQuick Quiz

Which of the following shows the division of 3510 ÷ 5 by using expanded notation?

0

Dividend Divisor Quotient

3000 ÷ 10 300

500 ÷ 5 100

10 ÷ 10 1

5 ÷ 5 1

3,510 +5+ 10+500= 3000

Dividend Divisor Quotient

3000 ÷ 5 600

500 ÷ 5 100

10 ÷ 5 2

5 ÷ 5 1

Dividend Divisor Quotient

3000 ÷ 10 30

500 ÷ 5 10

10 ÷ 5 2

5 ÷ 5 1

A

B

C

Let’s ReviewQuick Quiz

Sandra needs to store 2,125 paper clips seeds. Only 25 fit in each box. Which chart uses expanded notation to show how many boxes she will need?

0

Dividend

Divisor Quotient

2,000 ÷ 10 200

100 ÷ 25 4

20 ÷ 10 1

5 ÷ 25 4

2,1 2 5 +5+ 20+100= 2,000

Dividend

Divisor Quotient

2,000 ÷ 25 80

100 ÷ 25 4

20 ÷ 25 2

5 ÷ 25 5

Dividend

Divisor Quotient

2,000 ÷ 25 80

100 ÷ 25 4

20 ÷ 25 0

5 (+20) ÷ 5 1

A

B

C