Transcript EXAMPLE 5 FRAMING You plan to construct wooden photo frames

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
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?
SOLUTION
STEP 1 You need to divide to find the number of
times 50 centimeters is contained in 275
centimeters.
EXAMPLE
Example 55
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?
SOLUTION
STEP 1 You need to divide to find the number of
times 50 centimeters is contained in 275
centimeters.
5 R25
50 275
250
25
EXAMPLE
Example 55
Interpreting Remainders
STEP 2 Interpret the remainder in the quotient 5 R25.
EXAMPLE
Example 55
Interpreting Remainders
STEP 2 Interpret the remainder in the quotient 5 R25.
5 R25
EXAMPLE
Example 55
Interpreting Remainders
STEP 2 Interpret the remainder in the quotient 5 R25.
5 R25
5 whole photo frames
25 centimeters remain
EXAMPLE
Example 55
Interpreting Remainders
STEP 2 Interpret the remainder in the quotient 5 R25.
5 R25
5 whole photo frames
25 centimeters remain
ANSWER
You 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 6
Finding Patterns
SPORTS
The Summer Olympics were held
in 1992,1996, 2000, and 2004.
Describe the pattern. Then find
the next two years in the pattern.
EXAMPLE
Example 66
Finding Patterns
SPORTS
The Summer Olympics were held
in 1992,1996, 2000, and 2004.
Describe the pattern. Then find
the next two years in the pattern.
SOLUTION
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
Example 66
Finding Patterns
SPORTS
The Summer Olympics were held
in 1992,1996, 2000, and 2004.
Describe the pattern. Then find
the next two years in the pattern.
SOLUTION
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
ANSWER
The next two years are 2008 and 2012.
4
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
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?
ANSWER
13 tables
GUIDED PRACTICE
for Example 5 and 6
Describe the pattern. Then find the next two numbers.
14. 1, 4, 7, 10, ? , ?
GUIDED PRACTICE
for Example 5 and 6
Describe the pattern. Then find the next two numbers.
14. 1, 4, 7, 10, ? , ?
1
7
4
3
3
10
3
13
3
16
3
GUIDED PRACTICE
for Example 5 and 6
Describe the pattern. Then find the next two numbers.
14. 1, 4, 7, 10, ? , ?
1
7
4
3
3
10
3
13
3
16
3
Answer: The next two numbers are 13 and 16.
GUIDED PRACTICE
for Example 5 and 6
Describe the pattern. Then find the next two numbers.
14. 1, 4, 7, 10, ? , ?
1
7
4
3
3
10
3
13
3
16
3
Answer: The next two numbers are 13 and 16.
15. 55, 50, 45, 40, ? ,
?
GUIDED PRACTICE
for Example 5 and 6
Describe the pattern. Then find the next two numbers.
14. 1, 4, 7, 10, ? , ?
1
7
4
3
3
10
3
13
16
3
3
Answer: The next two numbers are 13 and 16.
15. 55, 50, 45, 40, ? ,
?
50
45
55
5
5
40
5
35
5
30
5
GUIDED PRACTICE
for Example 5 and 6
Describe the pattern. Then find the next two numbers.
14. 1, 4, 7, 10, ? , ?
1
7
4
3
3
10
3
13
16
3
3
Answer: The next two numbers are 13 and 16.
15. 55, 50, 45, 40, ? ,
?
50
45
55
5
5
40
5
35
5
30
5
Answer: The next two numbers are 35 and 30.
GUIDED PRACTICE
for Example 5 and 6
Describe the pattern. Then find the next two numbers.
16. 3, 6, 12, 24, ? ,
?
GUIDED PRACTICE
for Example 5 and 6
Describe the pattern. Then find the next two numbers.
16. 3, 6, 12, 24, ? ,
?
3
6
2
12
2
48
24
2
2
96
2
GUIDED PRACTICE
for Example 5 and 6
Describe the pattern. Then find the next two numbers.
16. 3, 6, 12, 24, ? ,
?
3
6
2
12
2
48
24
2
2
96
2
Answer: The next two numbers are 48 and 96.
for Example 5 and 6
GUIDED PRACTICE
Describe the pattern. Then find the next two numbers.
16. 3, 6, 12, 24, ? ,
?
3
6
2
12
2
48
24
2
2
96
2
Answer: The next two numbers are 48 and 96.
17. 320, 160, 80, 40, ?
,?
for Example 5 and 6
GUIDED PRACTICE
Describe the pattern. Then find the next two numbers.
16. 3, 6, 12, 24, ? ,
?
3
6
2
12
2
48
24
2
96
2
2
Answer: The next two numbers are 48 and 96.
17. 320, 160, 80, 40, ?
,?
160
80
320
2
2
40
2
20
2
10
2
for Example 5 and 6
GUIDED PRACTICE
Describe the pattern. Then find the next two numbers.
16. 3, 6, 12, 24, ? ,
?
3
6
2
12
2
48
24
2
96
2
2
Answer: The next two numbers are 48 and 96.
17. 320, 160, 80, 40, ? , ?
320
2
160
80
2
40
2
20
2
10
2
Answer: The next two numbers are 20 and 10.