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71 Cards in this Set
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Of 
multiply 

Three ways to use percentages 
Express a fraction Describe a Change Compare Performance & Cost 

P% 
P/100 

Reference Value 
Used when Comparing Often follows the words than, from, or of Can be a total value, original value 

Compared Value 
In the Absolute and Relative difference equations. First # 

Absolute Difference 
Compared  Reference New  Old 

Relative Difference 
Compared  Reference _______________________ Reference 

Name that equation 28 pounds of recyclable trash in a barrel of 52 pounds of trash 
Described word equation % as a fraction 28 lb / 52 lb 

Name the equation you used: The change of the sale price was decreased by $149,000 
Described answer for Absolute Change or Absolute Difference New value  Reference value 

Name that equation The sale price of a house in Feb. 2013 is about 50% less than Feb. 2008. 
Described answer for Relative Change or Relative Difference New Value  Reference Value ______________________________ Reference Value 

Name that Equation Tacoma Narrows bridge is 1400 ft shorter than the golden gate bridge. 
Described answer for Absolute Change or Absolute Difference New value  Reference value 

Identify Reference Value: The sale price of a house in Feb. 2013 is about 50% less than Feb. 2008. 
Reference Value Feb. 2008 

When a quantity doubles in value it's relative change is? 
100% 

When a quantity triples in value, its relative change is? 
200% 

When a quantity quadruples in value, its relative change is? 
300% 

When a quantity is halved in value, its relative change is? 
50% 

If the new or compared value is P% MORE THAN the reference value, it is ____ of the reference value? 
(100 + P)% 

If the new or compared value is P% LESS THAN the reference value, it is ____ of the reference value? 
(100  P)% 

Give an example of a Percentage Point 
3% to 4% is an increase of 1 percentage point (Absolute change) Will NOT have a % sign 

Give an example of a % of percentages change 
Increase to 5% from 2% New Value  Reference Value  Reference Value 5%  2%  2% 

What is the reference value? Interest increased from 3% to 4%. 
3% is reference value because 4% is a new value & the word from is used before 3% (New Value  Reference Value) 

a format in which a number is expressed as a number between 1 and 10 multiplies by the power of 10 
Scientific Notation 

Rewrite in Scientific notation 3,900,000,000,000. 
3.9 X 10 ^12 

Rewrite in Scientific notation 0.000 000 000 000 1 
1 X 10 ^ 13 

An estimate that specifies only a broad range of values, usually within one or two powers of ten, such as "in the ten thousands." 
Defined Order of Magnitude 

1,000 greater than or equal to the distance that is less than 10,000 
10 ^ 3 order of magnitude 

The digits in a number that represent actual measurments 
Defined Significant Digits 

Name Significant Digits 345 
ALL non zero digits are Significant Digits 345 All Significant 

Name Significant Digits 68.010 
Zeros to the right of decimal and after non zero 68.010 All Significant 

Name Significant Digits 500,000,001 
Zeros between non zero 500,000,001 All Significant 

Name Significant Digits 500 
Not Significant Digits are zeros to the left of decimal 5 is Significant in 500 

Name Significant Digits 0.000067 
Not Significant Digits are zeros to the right of decimal before 1st non zero 67is Significant in 0.000067 

occurs because of a random and inherently unpredictable event in the measurement process 
Random Error 

occurs when there is a problem in the measurement system that affects all measurements in the same way, such as making them all too low or too high by the same amount. 
Systematic Errors 

What equation(s) do you uses to find the size of Errors 
Absolute and Relative Equations 

describes how closely a measured value is to the true value 
Defined Accuracy 

A way to find which measurment is more accurate 
Absolute difference: measurement  true 

A way to find which measurement is more precise 
Don't change fractions into decimals. Decimals increase by placement (tenth or hundredth) where as fractions count up by adding identical fraction (1/4 counts to 1/2 then to 3/4 and then to 1) 

Round the answer 16.5 +3.289 = 19.789 
Addition / Subtraction: Round your answer to same precision as the least precise number 19.8 

Round the answer 3213/52 = 61.79 
Multiplication / Division: Round your answer to the number with the least number of significant digits 

Describes the amount of detail in a measurement. (How closely measurements are done) 
Define Precision 

This occurs when unequally sized groups are combined for an overall result. The results shift better / worse, or positive / negative. "What is true for the part, isn't true for the all" 
Defined Simpson's paradox 

How do you find your next total when 1% of the employees actually use drugs and the test is 85% accurate? 
User total = 0.01 X 2000 

How do you find your next total when when 1% of the employees actually use drugs and the test is 85% accurate? 
Lying User = 0.85 X 20 

How do you find your next total when when 1% of the employees actually use drugs and the test is 85% accurate? 
Truthful nonuser = 0.85 X 1980 

When Budgeting, you need to prorate. Define Prorate 
make income and expenses in the same units 

The balance upon which interest is paid Interest is paid only on your initial investment, not on interest added at later dates 
Defined simple interest 

Interest paid both on original investment and earned interest. 
Compound interest 

Name the formula A = P (1+rt) 
Simple interest 

Name the formula 
Compound Interest 

Write compound interest formula on a piece of paper 


In formulas, P stands for 
starting principal 

In formulas, A stands for 
accumulated balance after Y years 

APR is 
Annual percentage rate 

Monthly rate when APR is 24% 
APR  = rate 12 2% (rate) 

quarterly rate when APR is 8% 
APR  = rate 4 2% (rate) 

Name the Formula 
Continuous Compounding 

Write on a piece of paper the continuous compounding formula 


In the formulas, what is Y 
Number of years 

APY 
Annual Percentage Yield, effective yield, yield actual % your balance increases in 1 year Equal to APR if interest is compounded annually APY uses the formula at which interest is added, always a 1 for Y 

Name the formula 
Savings plan formula 

Write the savings plan formula on a piece of paper 


In formulas, n stands for 
n = compounding periods per year 

Interest rates usually vary over time. What is the percentage change in the investment values over a time period? 
total return new value  starting principal  starting principal 

Interest rates usually vary over time. What is the average annual rate at which your money grew over a time period? 
Annual rate 

Write the Annual Rate formula on a piece of paper 


The Total Return Formula 
is the relative difference formula 

a loan that is paid off with regular payments 
Defined Installment Loan 

Name the formula 
Installment Loan Formula 

Write the installment loan formula on a piece of paper 


Installment loan formula solves for 
Monthly Payment 