Multiplicative Change Flashcards
Multiplicative Relationships: Finding how one quantity is a multiple of another. Converting Units: E.g., cm to m by multiplying/dividing. Proportional Relationships: Two values increase/decrease at the same rate. (15 cards)
What is multiplicative change?
Multiplicative change refers to a change in quantity that is expressed as a ratio or a percentage of the original quantity.
If a price increases from $50 to $75, what is the multiplicative change?
The multiplicative change is 1.5 (or a 50% increase).
True or False: A multiplicative change can only be a positive value.
False.
Fill in the blank: To find the new value after a multiplicative change, you multiply the original value by _____ .
the multiplicative factor.
What is the formula to calculate the multiplicative change?
The formula is: New Value = Original Value × (1 + Change Percentage).
If a population of 200 increases by 25%, what is the new population?
The new population is 250.
Multiple choice: What is the multiplicative factor for a 20% decrease?
0.8.
How do you express a 10% increase in multiplicative terms?
1.1.
If a car’s value decreases from $20,000 to $15,000, what is the multiplicative change?
The multiplicative change is 0.75 (or a 25% decrease).
True or False: A multiplicative change can be represented as a decimal.
True.
Fill in the blank: The multiplicative change for a 50% increase is _____ .
1.5.
If an item’s price goes from $30 to $45, what percentage increase does this represent?
50%.
What happens to the original value if the multiplicative change factor is less than 1?
The original value decreases.
Multiple choice: Which of the following represents a 30% increase? A) 1.3 B) 0.7 C) 1.2
A) 1.3.
If a product’s price is halved, what is the multiplicative change factor?
0.5.
