Glencoe Math Course 2 Volume 1 Common Core Chapter 2 Percents
Page 95 Exercise 1 Problem 1
Given:
To explain how can percent help you understand situations involving money?
The percent help to understand situations involving money
The interest rates are written as a percent.
Also, find the interest earned on a savings account and the amount of interest charged on bank loans and credit cards.
The sales tax is also indicated in percent.
Hence explained.
Page 98 Exercise 1 Problem 2
Given:
Expression: 300 × 0.02 × 8 =
To find: Find each product
Determine the product of the first two factors, then the product of the result, and the last factor
(300 × 0.02) × 8
⇒ 6 × 8 = 48
(300 × 0.02) × 8 = 48
Finally, The product of the factors are 48.
Page 98 Exercise 2 Problem 3
Given:
Expression: 85 × 0.25 × 3 =
To find: Find each product
Determine the product of the first two factors, then the product of the result, and the last factor
85 × 0.25 × 3
⇒ 21.25 × 3 = 63.75
85 × 0.25 × 3 = 63.75
Finally, The product of the factors is 63.75.
Page 98 Exercise 3 Problem 4
Given:
Suppose Nicole saves $2.50 every day. How much money will she have in 4 weeks?
To find: Find each product
Because there are seven days in a week, there are 28 days in four weeks
⇒ 28 × $2.50 = $70.00
Finally, The product of the factors is $70.00.
Page 98 Exercise 4 Problem 5
Given: 0.675 =
To find: Write each decimal as a present.
By multiplying the decimal by 100 and adding a percent sign, you can rewrite it as a percent
⇒ 0.675 = 67.5 %
Finally, The Decimals as a percent is 67.5 %
Page 98 Exercise 5 Problem 6
Given: 0.725 =
To find: Write each decimal as a present.
By multiplying the decimal by 100 and adding a percent sign, you can rewrite it as a percent
⇒ 0.725 = 72.5 %
Finally, The Decimals as a percent are 72.5.
Page 98 Exercise 6 Problem 7
Given: 0.95 =
To find: Write each decimal as a present.
By multiplying the decimal by 100 and adding a percent sign, you can rewrite it as a percent
⇒ 0.95 = 95 %
Finally, The Decimals expressed as a percent are 95 %
Page 98 Exercise 7 Problem 8
Given: Approximately 0.92 of a watermelon is water. What percent represents this decimal?
To find: Write each decimal as a present.
By multiplying the decimal by 100 and adding a percent sign, you can rewrite it as a percent
⇒ 0.92% = 92 %
Finally, The Decimals expressed as a percent are 92 %
Page 102 Exercise 3 Problem 9
Given:
To find: The answers in blank boxes
Total = 150
Percent = 40%
Rate per hundred = 40/100
Therefore
Part = \(\frac{40}{100}\) ×(150)
= 60
The solution of part is 60
Page 102 Exercise 4 Problem 10
Given:
To find: The answers in blank boxes
Total = 150
Percent = 50%
Rate per hundred = 50/100
Therefore
Part = \(\frac{50}{100}\) ×(150)
= 75
The solution of part is 75
Page 102 Exercise 5 Problem 11
Given:
To find: The pattern
Total = 150
Percent = 40%
Rate per hundred = 40/100
Therefore
Part = \(\frac{40}{100}\) × (150)
= 60
Total = 150
Percent = 50%
Rate per hundred = 50/100
Therefore
Part = \(\frac{50}{100}\) × (150)
= 75
By analyzing the pattern we found that the part has been increasing by every 15. The part has been increased by every 15.
Page 102 Exercise 6 Problem 12
Given: The table is showing percentages equivalent to real numbers.
We have to write a real-world problem based on the values of the table.
This is done by equating the percentage to the real numbers.
According to the table
10 times, 10% = 10 × 10 = 100%
10times, 25 = 25 × 10 = 250, or
If, 10% = 251%
= 2.5
∴ 100% = 250
Hence 10% = 25 is verified to write in the form of a percentage expression.
10% = 25 is written in the form of a percentage based on the table.
Page 102 Exercise 7 Problem 13
4times, 25% = 25 × 4 = 100%
4times, 15 = 15 × 4 = 60 , or
If, 25% = 15
1% = \(\frac{15}{25}\)(100%)
= \(\frac{15}{25}\)×100
∴ 100% = 60
Hence 100% = 60 is verified to write in the form of a percentage expression.
100% = 60 is written in the form of a percentage based on the table.
Page 102 Exercise 8 Problem 14
Given:
How percent used to solve a real-world problem
Explanation:
Percent diagram helps to display the information, making it easier to solve for what it is missing
A diagram in a way to help your to brain process a lot of information at once.
It is the visual planning tool that takes some of the pressure off of remembering every single detail
Sometimes we have hard questions that require sifting through a lot of information to figure them out.
This type of chart or diagram gives a quick and easy way to see a whole is divided into its constituent parts.