Understanding Percent Equations

The video tutorial explains how to solve the problem of finding the base number when given a percentage and an amount. It introduces the percent equation, identifies key components like amount, percent, and base, and demonstrates converting a percentage to a decimal. The tutorial then walks through solving the equation using division and illustrates the long division method to find the quotient, concluding that 60 is 40% of 150.

What is the main question being addressed in the video?

• How to find 60% of a number

• How to determine the base number when 60 is 40% of it

• How to convert percentages to decimals

• How to calculate 40% of 60

In the percent equation, what does the 'base' represent?

• The decimal equivalent

• The part of the whole

• The whole amount

• The percentage value

What is the first step in converting a percentage to a decimal?

• Move the decimal point two places to the left

• Divide the percentage by 10

• Add two zeros to the percentage

• Multiply the percentage by 100

What is the decimal equivalent of 40%?

• 4.0

• 40.0

• 0.04

• 0.4

What is the purpose of converting a percentage to a decimal in the percent equation?

• To make the percentage larger

• To simplify the equation

• To avoid using fractions

• To make calculations easier

What operation is used to solve for the base in the equation 0.4b = 60?

• Addition

• Subtraction

• Division

• Multiplication

When dividing 60 by 0.4, what is the first step in the long division process?

• Subtract 0.4 from 60

• Multiply both numbers by 10

• Move the decimal point in the divisor to make it a whole number

• Add a zero to the dividend

How many times does 4 go into 6 during the division process?

• 1 time

• 2 times

• 3 times

• 4 times

What is the final quotient when dividing 60 by 0.4?

• 15

• 6

• 60

• 150

What does the final answer of the problem indicate?

• 60 is 40% of 60

• 60 is 40% of 150

• 60 is 40% of 100

• 60 is 40% of 200