Lesson: Using Multipliers for Percentage Increase and Decrease

Multiple Choice

How do you convert a percentage into a decimal?

• A) Divide by 10

• B) Divide by 100

• C) Multiply by 10

• D) Multiply by 100

Multiple Choice

A bicycle originally costs $150. If they offer me a 10% discount, how much is the discount?

• $15

• $10

• $150

• $5

Multiple Choice

What is 35% of 75?

• 26.25

• 35

• 75

• 103.5

​Objective: Students will learn how to use multipliers to calculate percentage increases and decreases efficiently and apply them to solve problems.

​Percentage Increase Multiplier:
Original Value x ( 1 + Percent as Decimal)

​Example: A pair of shoes cost $149, and the price will increase by 30%, what is the new price?

Multiple Choice

What is the formula for calculating the new value when increasing a number by a percentage?

• Original Value × (1 + Percent as decimal)

• Original Value × (1 - Percent as Decimal)

Multiple Choice

To increase 150 by 25%, which calculation is correct?

• 150 × 1.25

• 150 × 0.25

• 150 + 25

• 150 - 25

​Percentage Decrease Multiplier:
Original Value x ( 1 - Percent as Decimal)

​Example: A pair of shoes cost 200 but they will be discounted by 40%. What is new price?

Multiple Choice

What is the formula for calculating the new value when decreasing a number by a percentage?

• Original Value × (1 - Percent as a Decimal)

• Original Value × (1 + Percent as a Decimal)

Multiple Choice

What is the multiplier for a 15% decrease?

• 0.85

• 1.15

• 0.15

• 1.85

Multiple Choice

If you increase 500 by 40%, what is the new value?

• 700

• 600

• 500

• 650

Multiple Choice

A computer originally costs $800. It is on sale with a 15% discount. What is the new price?

• $680

• $700

• $720

• $750

Multiple Choice

A book was originally priced at $45. After a 20% price increase, what is the new price?

• $54

• $50

• $55

• $60

Multiple Choice

Decrease 360 by 22%. What is the new value?

• 280.8

• 281.2

• 282.0

• 283.5

Multiple Choice

Increase 75 by 35%. What is the new value?

• 101.25

• 100.5

• 102.5

• 103.5