Divide by 10 Patterns

Examples, solutions, and lessons to help Grade 5 students learn how to use divide by 10 patterns for multi-digit whole number division.

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

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

Worksheets for Grade 5

Application Problem

The area of a vegetable garden is 200 ft². The width is 10 ft. What’s the length of the vegetable garden?

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

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Grade 5 Module 2 Lesson 16 Problem Set

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 m². The length is 90 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?

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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

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Lesson 16 Homework

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

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

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