EXAMPLE 5 Interpreting Remainders

FRAMING

You plan to construct wooden photo frames. You need 50 centimeters of wood for each frame. You have a total of 275 centimeters of wood. How many photo frames can you make?

EXAMPLE 5

FRAMING

You plan to construct wooden photo frames. You need 50 centimeters of wood for each frame. You have a total of 275 centimeters of wood. How many photo frames can you make?

SOLUTION

STEP 1 You need to divide to find the number of times 50 centimeters is contained in

275 centimeters.

Interpreting Remainders

Example 5

FRAMING

You plan to construct wooden photo frames. You need 50 centimeters of wood for each frame. You have a total of 275 centimeters of wood. How many photo frames can you make?

SOLUTION

STEP 1 You need to divide to find the number of times 50 centimeters is contained in

275 centimeters.

50 27525025

5 R25

EXAMPLE 5 Interpreting Remainders

Example 5EXAMPLE 5

STEP 2 Interpret the remainder in the quotient 5 R25.

Interpreting Remainders

Example 5

STEP 2 Interpret the remainder in the quotient 5 R25.

5 R25

EXAMPLE 5 Interpreting Remainders

Example 5

STEP 2 Interpret the remainder in the quotient 5 R25.

5 R25

5 whole photo frames 25 centimeters remain

EXAMPLE 5 Interpreting Remainders

Example 5

STEP 2 Interpret the remainder in the quotient 5 R25.

5 R25

5 whole photo frames 25 centimeters remain

ANSWERYou cannot make a complete photo frame from 25 centimeters of wood, so you need to round down to 5. You can make 5 photo frames.

EXAMPLE 5 Interpreting Remainders

EXAMPLE 6 Finding Patterns

SPORTSThe Summer Olympics were held in 1992,1996, 2000, and 2004. Describe the pattern. Then find the next two years in the pattern.

Example 6

SPORTSThe Summer Olympics were held in 1992,1996, 2000, and 2004. Describe the pattern. Then find the next two years in the pattern.

Look to see how each number is related to the preceding number. Each year after 1992 is 4 more than the preceding year.

1992 1996 2000 2004 2008 2012

4 4 4 4 4

EXAMPLE 6

SOLUTION

Finding Patterns

Example 6

SPORTSThe Summer Olympics were held in 1992,1996, 2000, and 2004. Describe the pattern. Then find the next two years in the pattern.

Look to see how each number is related to the preceding number. Each year after 1992 is 4 more than the preceding year.

1992 1996 2000 2004 2008 2012

4 4 4 4 4

The next two years are 2008 and 2012.

EXAMPLE 6

SOLUTION

ANSWER

Finding Patterns

GUIDED PRACTICE for Example 5 and 6

13.Banquet You are setting up tables for a banquet for 100 guests. Each table seats 8 people. What is the minimum number of tables you will need?

GUIDED PRACTICE

13.Banquet You are setting up tables for a banquet for 100 guests. Each table seats 8 people. What is the minimum number of tables you will need?

GUIDED PRACTICE for Example 5 and 6

ANSWER 13 tables

GUIDED PRACTICE

Describe the pattern. Then find the next two numbers.

14. 1, 4, 7, 10, ? , ?

GUIDED PRACTICE for Example 5 and 6

GUIDED PRACTICE

Describe the pattern. Then find the next two numbers.

14. 1, 4, 7, 10, ? , ?

1 4 7 10 13 16

3 3 3 3 3

GUIDED PRACTICE for Example 5 and 6

GUIDED PRACTICE

Describe the pattern. Then find the next two numbers.

14. 1, 4, 7, 10, ? , ?

1 4 7 10 13 16

3 3 3 3 3Answer: The next two numbers are 13 and 16.

GUIDED PRACTICE for Example 5 and 6

GUIDED PRACTICE

Describe the pattern. Then find the next two numbers.

14. 1, 4, 7, 10, ? , ?

1 4 7 10 13 16

3 3 3 3 3Answer: The next two numbers are 13 and 16.

15. 55, 50, 45, 40, ? , ?

GUIDED PRACTICE for Example 5 and 6

GUIDED PRACTICE

Describe the pattern. Then find the next two numbers.

14. 1, 4, 7, 10, ? , ?

1 4 7 10 13 16

3 3 3 3 3Answer: The next two numbers are 13 and 16.

15. 55, 50, 45, 40, ? , ? 55 50 45 40 35 30

5 5 5 5 5

GUIDED PRACTICE for Example 5 and 6

GUIDED PRACTICE

Describe the pattern. Then find the next two numbers.

14. 1, 4, 7, 10, ? , ?

1 4 7 10 13 16

3 3 3 3 3Answer: The next two numbers are 13 and 16.

15. 55, 50, 45, 40, ? , ? 55 50 45 40 35 30

5 5 5 5 5

Answer: The next two numbers are 35 and 30.

GUIDED PRACTICE for Example 5 and 6

GUIDED PRACTICE

16. 3, 6, 12, 24, ? , ?

Describe the pattern. Then find the next two numbers.

GUIDED PRACTICE for Example 5 and 6

GUIDED PRACTICE

16. 3, 6, 12, 24, ? , ?

3 6 12 24 48 96

2 2

Describe the pattern. Then find the next two numbers.

GUIDED PRACTICE for Example 5 and 6

2 2 2

GUIDED PRACTICE

16. 3, 6, 12, 24, ? , ?

3 6 12 24 48 96

Answer: The next two numbers are 48 and 96.

Describe the pattern. Then find the next two numbers.

GUIDED PRACTICE for Example 5 and 6

2 22 2 2

GUIDED PRACTICE

16. 3, 6, 12, 24, ? , ?

3 6 12 24 48 96

Answer: The next two numbers are 48 and 96.

17. 320, 160, 80, 40, ? , ?

Describe the pattern. Then find the next two numbers.

GUIDED PRACTICE for Example 5 and 6

2 22 2 2

GUIDED PRACTICE

16. 3, 6, 12, 24, ? , ?

3 6 12 24 48 96

Answer: The next two numbers are 48 and 96.

17. 320, 160, 80, 40, ? , ?320 160 80 40 20 10

2 2

Describe the pattern. Then find the next two numbers.

GUIDED PRACTICE for Example 5 and 6

2 2 2

2 22 2 2

GUIDED PRACTICE

16. 3, 6, 12, 24, ? , ?

3 6 12 24 48 96

Answer: The next two numbers are 48 and 96.

17. 320, 160, 80, 40, ? , ?

320 160 80 40 20 10

Answer: The next two numbers are 20 and 10.

Describe the pattern. Then find the next two numbers.

GUIDED PRACTICE for Example 5 and 6

2 22 2 2

2 22 2 2