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Unit-one
Example:

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means two quantities (a ratio) vary together
for example:
- 1 mango is 80 cent but a bag with 5 mangoes $2.50
- ratio of sides of two square is 1:2 but ratio of their areas is 1:

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rate is constant
for example:
- the rate of candle burning
- ratio of two candles burning speed

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Absolute Thinker
Thinks there are more brown eggs in the first carton
Relative Thinker
Thinks there are more brown eggs in the second carton
because of the ratio of brown eggs
(Click to enlarge the image)

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Multiplicative: a constant non-zero value is multiplied by an input value
Additive: a constant non-zero value is added to an input value

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comparing one part to another part

Part - to - Whole

comparing one part to the whole

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A rate is a ratio that is used to compare different kinds of quantities..
A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

For example:
2 gallon gas is $5 so the unit rate is $2.25 per gallon.

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a numerical quantity that is not a whole number

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quantitative relation between two amounts