Proportions, Percent of Change (increase/decrease), Percent of Total, Number Theory, Factors and Multiples, Estimation Flashcards
Proportional Relationships and Percents, Proportions: Given a scale, Proportions: Given an Equivalency Statement, Proportions Given a descriptions of similar figures, Proportions: Given similar figures (37 cards)
ratio
a comparison of two numbers using a fraction, a colon, or the word “to”. Ratios have the same units
rate
a ratio with different units
What is the verbal statement for 4 dogs : 3 cats
four dogs for every 3 cats
What is the fraction for four dogs for every 3 cats
4 dogs/3 cats
What is the colon of 4 dogs/3 cats
4 dogs : 3 cats 4:3
What word is commonly used to verbalize a unit rate phrase?
per
Unit Rate
a rate with a denominator of 1
Ratio example
2 feet/3 feet same units
Rate example
25 miles/3 hours different units
Proportion
3 inches/14 miles=x inches/84.5 miles
How do I know to use a proportion?
- Contains a scale
- Each of the numbers contains units
- There are 3 numbers with units, and the problem asks for a 4th number with units.
- Contains an equivalency statement that represents a rate
How is a scale is typically given?
a scale is typically given using a colon
What is the equation for finding the percent of change?
new number - original number/original number
then convert the fraction to a decimal and then convert to a percent
if the percent is positive, the percent of change was an increase, if the percent is negative, the percent of change was a decrease.
Examples of counting numbers
1,2,3,4,5,6,….
Examples of whole numbers
0,1,2,3,4,5,6,…
Integers
…,-5,-4,-3,-2,-1,0,1,2,3,4,5,…
Rational Numbers
any number that can be written as a fraction a/b, where a and b are any integer.
True or false: Rational Numbers include all terminating and repeating decimals.
True
Prime
A positive integer that only has 1 and itself as factors. Ex. 2,3,13,29
Composite
A positive integer that has factors other than 1 and itself . Ex. 4,12,27,44
Even
A number that is divisible by two
Odd
A number that is not divisible by two
Is 1 prime, composite, both, or neither?
1 is neither prime nor composite
True or False: 2 is not a prime number
False, 2 is the only even prime number