Math unit 3A and 3B
Compare A and B in three ways, where A= 1.85 million is the 2012 daily circulation of newspaper X and B= 2.14 million is the 2012 daily circulation of newspaper Y The Ratio of A to B is
1.85 / 2.14= 0.86
The area of a certain country is 23% more than the area of Nebraska, so the countrys area is what percent of Nebraskas area?
100+23= 123%
Will is 30% taller than wanda , so wills height is ___% of Wandas height
100+30= 130%
Compare A and B in 3 ways. Where A= 52, 021 is the number of deaths due to a deadly disease in the United States in 2005 and B=17, 272 is the number of deaths due to the same disease in the United States in 2009 Find the ratio of A to B
52,021 / 17, 272= 3.01
(2x10^8) * (3x10^5)
6x10^13
What is the reduced fraction form of 140%?
7/5 divide 140 by 100
What is a second way to use percentages?
Percentages can be used to describe a change in something. For example, the cost of milk rose 5% in the past month
What is one way to use percentages?
Percentages can be used to express a fraction of something. For example 3,000 employees, 15% got raises
Explain the difference between the key words of and more than when dealing with percentages. How are their meanings related?
The key word more than is used to express the relative change between the referenced and compared value. The keyword of is used to express the ratio of the compared value to the referenced value
What is the reduced fraction form of 30%?
3/10
The 2015 revenue for a company A was$332 million , compared to $500 million for company B
332/ 500 *100= 66.4
The gestation period of horses (336 days) is __ percent longer than the gestation period of pigs (115) days
336-115 / 115 =1.92*100= 192.2
The number of commercial radio stations playing a particular genre of music decreased from 776 in 2005 to 392 in 2015 The absolute change is
392-776= -384
Scientific notation 43,328
4.3328x10^4
Scientific notation 0.0485
4.85x10^-2
(4x10^6) + (9x10^5)
4.9x10^6
The full time year round median salary for U.S men in 2010 was $41600 and the full time year round for women was 35,700
41600 / 35700 *100= 116.5
What is the percentage form of 0.45?
45%
A certain candidate won 469 electrical votes in an election, out of a total of 586 The number of electrical votes won by the candidates is ___% of the total votes
469 / 586 * 100= 80%
The number of different 5 character passwords that can be made with 26 capital letters, 26 lowercase letters, and 10 numerals is approximately 53 trillion
5.3x10^13
Explain how we can use comparisons to put numbers in perspective. Give an example
Comparison allows numbers to be put in perspective by relating them to understandable values. The amount of electricity a power plant produces can be compared to the number of homes it can supply
What is an order of magnitude? explain why such an estimate can be useful even though it may be as much as 10 times too large or too small
order of magnitude specifies only a broad range of values, within one or two powers of 10. These estimates are useful bc they provide an way to easily tell the difference in groups of values, such as populations. Ex: a lot can be inferred about a town or city simply by knowing whether the population is in the tens of thousands or the millions
The relative change is
-1160 / 2434 *100= -48%
The relative change is
-384 / 776*100= -49.5%
Compare A to B in three ways, where A= 1.1 million is the 2012 population of city X and B= 2.2 million is the 2012 population of city Y Find the Ratio of A to B
1.1 / 2.2= 0.5
if John earns 20% more than mary does, then mary must earn approximately 20% less than John does
The statement does not make sense because because if john earns 20% more than Mary must earn approximately 16.7% less than john does
I live in an apartment building that is 200 feet tall
The statement makes sense because apartment buildings exist that are 200 feet tall
We found that these rare cancers were 700% more common in children living near the toxic landfill than in the general population
The statement makes sense because the number of rare cancers found in children living near toxic landfill is 8 times the number of rare cancers found in the general population, which is possible
The price of tuition has tripled since my parents went to school thats a 200% increase in price corresponds to a price that is 300% of the original price
The statement makes sense. A 200% increase in price corresponds to a price that is 300% of the original price
How are their meanings related?
if the compared value is P% more than the reference value, it is (100+P)% more of the reference value.
What is the decimal form of 30%?
0.3
A is ___ percent of B
0.5 * 100 = 50
A is ___ percent of B
0.86 * 100= 86
The population of city A is 27% less than the population of city B, so city A's population is __% of city B's
100-27= 73
Find the absolute change and the relative change in the following cases The number of daily newspapers in a country decreased from 2434 in 1900 to 1274 in 2010 The absolute change is
1274-2432= -1160
The ratio of B to A
17, 272 / 52,021= 0.33
(4x10^12) / (2x10^6)
2.0x10^6
The Ratio of B to A is
2.14 / 1. 85= 1.16
The ratio of B to A is
2.2 / 1.1= 2
scientific notation 280,000
2.8x10^5
My news music player has a capacity of 290 gigabytes (giga means billion) My new music player has a capacity of __bytes
2.90x10^11 bytes
A is ___ percent of B
3.01 * 100= 301
What is the reduced fraction form of 0.45?
9/20 divide 45 by 100
What is the third way to use percentages?
Percentages can be used to compare two things. For example, the car costs 25% more but gets 10% more miles per gallon.
Explain how we can use estimation to put numbers into perspective
estimation allows for values to be approximately calculated based on educated guesses and logical extrapolation. Can be used to find the number of drinks consumed at football games in one year by multiplying the attendance per game w the drinks consumed per attendee, and then multiplying by the number of games per year, where each component value can be approximate.
