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Unit 7, Lesson 15 Explore Dividing by Two-Digit Whole NumbersPowerPoint Presentation

Unit 7, Lesson 15 Explore Dividing by Two-Digit Whole Numbers

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### Unit 7, Lesson 15Explore Dividing by Two-Digit Whole Numbers

Where do I write the first digit of the quotient?

Above the ones place

6 51

Above the hundreds place

9 7,413

Above the thousands place

7 8,293

Key Vocabulary

Estimate : tell about how much or about how many; make a thoughtful guess

Ex. 476

Is 476 closer to 400 or 500?

So I would estimate 476 to be about 500

We are going to use estimation to help us divide by two-digit whole numbers.

Let’s solve this problem….

There are 2,048 sheep being sent on a train. Each railroad car holds 32 sheep.

To find out how many railroad cars are needed for the sheep, divide 2,048 by 32.

Digit-by-Digit Method of Dividing

Step 3

6

32 2,048

(30) - 192

128

Multiply and subtract.

Bring down 8 ones.

Step 1

2,048

(30)

Round the divisor

Step 2

6

32 2,048

(30)

Estimate the first digit.

30 goes into 200 about 6 times.

Step 4

64

32 2,048

(30) - 192

128

- 128

0

Estimate the next digit and multiply.

Expanded Notation

Step 3

60

32 2,048

(30) - 1,920

128

Multiply and subtract.

60 x 32 = 1,920.

Step 1

2,048

(30)

Round the divisor

Step 2

60

32 2,048

(30)

Estimate the first digit.

30 goes into 2,000 about 60 times.

Step 4

4

60

32 2,048

(30) - 1,920

128

- 128

0

64

Estimate the next digit and multiply.

Rectangle Sections

60

32

(30) 2, 048

Round the divisor and estimate the first number.

60

32 2,048

(30) - 1,920

128

Multiply and subtract.

60 +

32 2,048 128

(30) –1,920

128

Make a new section

60 4

32 2,048 128

(30) –1,920-128

128 0

Estimate the next number, and multiply and subtract.

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