Percents

Question 1

How should you handle percents that contain a fraction?

Answer 1

Divide the fraction by a 100 and simplify the resulting fraction

Question 2

What does percent mean?

Answer 2

Per one hundred

Out of 100

Question 3

How do you express a percent as a decimal?

Answer 3

Shift the decimal point two spaces to the left

Question 4

How do you convert a decimal into a percent?

Answer 4

Shift the decimal two spaces to the right

Question 5

How do you convert a fraction into a percent ?

Answer 5

Multiply it by 100 (break the numbers down into similar terms)

You may need want to convert it into a decimal first

Question 6

How should you take a percent of a number?

Answer 6

Convert the percent into a fraction and translate the word “of” as “multiply”

Question 7

How do you get 10% of a number?

Answer 7

Shift its decimal spot one space to the left

Question 8

How do you get 1% of a number?

Answer 8

Shift its decimal point two spots to the left

Question 9

How do you calculate a percent change?

Answer 9

Difference / original = percent change

Question 10

Whats the equation for when an object increases or decreases by a certain percent?

Answer 10

Original * ( 1 + or - change) = new

Question 11

How should you handle consecutive percents?

Answer 11

One step at a time, dont combine the changes

Question 12

Whats the formula for simple interest?

Answer 12

Simple interest = principal * rate * time

I= prt

Question 13

Describe compound interest

Answer 13

Compound interest is added back to the original principal so that both the principal and the accrued interest garner interest

Question 14

What is the compound interest formula?

Answer 14

Total value = P (1+R/T) ^TY

Question 15

What should you remember when working with compound interest?

Answer 15

Compound interest always generates more interest than simple interest

The more frequent the compounding the more interest there will be

Question 16

What should you do if a percent problem does not include a specified amount ?

Answer 16

Let the original value equal 100

Question 17

How do you solve what percent of a is b questions?

Answer 17

(Is b / percent of A) * 100

Question 18

If your percent change is a variable what should you do ?

Answer 18

Express the percent change as a fraction

Question 19

Whats the difference between a mixture and alteration problem?

Answer 19

Mixture problems combine two separate mixtures

Alteration problems alter change or redistribute just one mixture

Question 20

What ingredients matter in a mixture problem?

Answer 20

The ingredient they have in common to the individual mixtures and the final mixture.

Question 21

How do you solve mixture PUQS

Answer 21

Let the total quantity of one of the mixtures equal 100, and let the total quantity of the other mixture equal x

Question 22

What is the RAFs short cut for mixture PUQs problems?

Answer 22

1) determine the range between the percentages of the individual mixture or solutions
2) then get the absolute differences between the individual percentages and the percentage of the combined mixture
3) finally express each difference as a fraction of the range
4) the bigger fraction refers to the individual mixture or solution whose percentage is closer to the percentage of the combined mixture

Question 23

How do you calculate a percent increase / decrease between two numbers ?

I.e. if the price of an item increases from $24 to $30, what is the percent increase in price ?

Answer 23

Find the difference between the values and put that amount over the original number

I.e. 30-24 =6
The original value was $24
So the answer is 6/24 = 1/4=.25