62 Estimating Products and Quotients

1
6-2 Estimating Products and Quotients

• Objective Estimate products and quotients of
  rational numbers.

2
5-Minute Check

• Write each fraction as a decimal. Use a bar to
  show a repeating decimal.
• 9/16

3
5-Minute Check

• Write each fraction as a decimal. Use a bar to
  show a repeating decimal.
• 9/16 0.5625

4
5-Minute Check

• Write each fraction as a decimal. Use a bar to
  show a repeating decimal.
• 9/16
• -13/8

5
5-Minute Check

• Write each fraction as a decimal. Use a bar to
  show a repeating decimal.
• 9/16
• -13/8 -1.375

6
5-Minute Check

• Write each fraction as a decimal. Use a bar to
  show a repeating decimal.
• 9/16
• -13/8
• 3/7

7
5-Minute Check

• Write each fraction as a decimal. Use a bar to
  show a repeating decimal.
• 9/16
• -13/8
• 3/7 0.428571

8
5-Minute Check

• Write each fraction as a decimal. Use a bar to
  show a repeating decimal.
• 9/16
• -13/8
• 3/7
• Replace each with lt, gt, or to make a true
  sentence.
• 4. 2 ½ 2 6/13

9
5-Minute Check

• Write each fraction as a decimal. Use a bar to
  show a repeating decimal.
• 9/16
• -13/8
• 3/7
• Replace each with lt, gt, or to make a true
  sentence.
• 4. 2 ½ 2 6/13 gt

10
5-Minute Check

• Write each fraction as a decimal. Use a bar to
  show a repeating decimal.
• 9/16
• -13/8
• 3/7
• Replace each with lt, gt, or to make a true
  sentence.
• 4. 2 ½ 2 6/13
• 5. 0.35 -1/3

11
5-Minute Check

• Write each fraction as a decimal. Use a bar to
  show a repeating decimal.
• 9/16
• -13/8
• 3/7
• Replace each with lt, gt, or to make a true
  sentence.
• 4. 2 ½ 2 6/13
• 5. 0.35 -1/3 lt

12
6-2 Estimating Products and Quotients
Example 1 A factory worker earned 20,147 in a
year. She worked 2080 hours. About how much did
she earn each hour? yearly pay hours worked
in a year
13
6-2 Estimating Products and Quotients
Example 1 A factory worker earned 20,147 in a
year. She worked 2080 hours. About how much did
she earn each hour? yearly pay hours worked
in a year 20,147
2080
14
6-2 Estimating Products and Quotients
Example 1 A factory worker earned 20,147 in a
year. She worked 2080 hours. About how much did
she earn each hour? yearly pay hours worked
in a year 20,147
2080 Think 20,147 rounds to 20,000 and
2080 hours rounds to 2000 hours.
15
6-2 Estimating Products and Quotients
Example 1 A factory worker earned 20,147 in a
year. She worked 2080 hours. About how much did
she earn each hour? yearly pay hours worked
in a year 20,147
2080 Think 20,147 rounds to 20,000 and
2080 hours rounds to 2000 hours. 20,147 2080
20,000 2000 or 10
16
6-2 Estimating Products and Quotients
Example 1 A factory worker earned 20,147 in a
year. She worked 2080 hours. About how much did
she earn each hour? yearly pay hours worked
in a year 20,147
2080 Think 20,147 rounds to 20,000 and
2080 hours rounds to 2000 hours. 20,147 2080
20,000 2000 or 10 She earned about
10.00 per hour.
17
6-2 Estimating Products and Quotients
Example 2 A company has 26,136 in profits. 6/13
of the profits are to be distributed equally
among the employees. About how much money will be
received by the employees?
18
6-2 Estimating Products and Quotients
Example 2 A company has 26,136 in profits. 6/13
of the profits are to be distributed equally
among the employees. About how much money will be
received by the employees? 6/13 26,136 ½
26,000
19
6-2 Estimating Products and Quotients
Example 2 A company has 26,136 in profits. 6/13
of the profits are to be distributed equally
among the employees. About how much money will be
received by the employees? 6/13 26,136 ½
26,000 Replace 6/13 with ½ because 6/13 is
close to 6/12 in value and 6/12 ½.
20
6-2 Estimating Products and Quotients
Example 2 A company has 26,136 in profits. 6/13
of the profits are to be distributed equally
among the employees. About how much money will be
received by the employees? 6/13 26,136 ½
26,000 Replace 6/13 with ½ because 6/13 is
close to 6/12 in value and 6/12 ½. Think ½
26,000 13,000 So, 6/13 of 26,136 is about 13,000
21
6-2 Estimating Products and Quotients
Example 2 A company has 26,136 in profits. 6/13
of the profits are to be distributed equally
among the employees. About how much money will be
received by the employees? 6/13 26,136 ½
26,000 Replace 6/13 with ½ because 6/13 is
close to 6/12 in value and 6/12 ½. Think ½
26,000 13,000 So, 6/13 of 26,136 is about
13,000 About 13,000 will be received by the
employees.
22
6-2 Estimating Products and Quotients
Assignment Starting on page 282, do 16 32
even, and 33- 44 all.