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Common Core Standards: 5.NBT.1, 5.NBT.2, 5.NBT.6

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Common Core For Grade 5

New York State Common Core Math Module 2, Grade 5, Lesson 16

Application Problem

The area of a vegetable garden is 200 ft

Note: This problem provides a nice opportunity to quickly address area concepts and division by a power of ten, allowing for a smooth transition into the day’s Concept Development. While solving, students should be encouraged to draw a picture of a rectangle to support their work.

Concept Development

Problem 1: 420 ÷ 10

Problem 2: 1,600 ÷ 100

Problem 3: 24,000 ÷ 600

Problem 4: 180,000 ÷ 9,000

1. Divide. Draw number disks to show your thinking for (a) and (c). You may draw disks on your personal white board to solve the others if necessary.

a. 500 ÷ 10

c. 12,000 ÷ 100

2. Divide.

b. 12,000 ÷ 300

e. 560,000 ÷ 700

3. The floor of a rectangular banquet hall has an area of 3,600 m

a. What is the width of the banquet hall?

b. A square banquet hall has the same area. What is its length?

c. A third rectangular banquet hall has a perimeter of 3,600 m. What is the width if the length is 5 times the width?

4. Over the course of a year, a tractor-trailer commutes 160,000 miles across America.

a. Assuming a trucker changes his tires every 40,000 miles, and that he starts with a brand new set of tires, how many sets of tires will he use in a year?

Lesson 16 Homework

This video demonstrates how to divide with ten-patterns using place value charts, number disks, and decomposition.

1. Divide. Draw number disks to show your thinking for (a) and (c). You may draw disks on your personal white board to solve the others if necessary. a. 300 ÷ 10

b. 450 ÷ 10

d. 730,000 ÷ 100

f. 680,000 ÷ 1,000

2. Divide. The first one is done for you.

a. 18,000 ÷ 20

= 18,000 ÷ 10 ÷ 2

= 1,800 ÷ 2

= 900

b. 18,000 ÷ 200

c. 18,000 ÷ 2,000

1. Divide. Draw number disks to show your thinking for (a) and (c). You may draw disks on your personal white board to solve the others if necessary.

a. 300 ÷ 10

c. 18,000 ÷ 100

2. Divide. d. 420,000 ÷ 60

e. 420,000 ÷ 600

f. 420,000 ÷ 6,000

3. A stadium holds 50,000 people. The stadium is divided into 250 different seating sections. How many seats are in each section?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.