Converting Percentages and Division

The video tutorial explains how to solve a problem involving percents, specifically finding what number 12% of is equal to 75. It covers translating the problem into a mathematical statement, converting the percent to a decimal, and using long division to find the missing number. The tutorial emphasizes the importance of setting up the division problem correctly and provides a step-by-step guide to solving it.

What is the main goal of the problem introduced in the video?

• To find 12% of a number that equals 75

• To determine the percentage of 12 in 75

• To solve a quadratic equation

• To calculate the square root of 75

How is the phrase 'percent of' translated in mathematical terms?

• As percent divided by

• As percent times

• As percent minus

• As percent plus

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

• Subtract 100

• Multiply by 100

• Divide by 100

• Add 100

What is the decimal equivalent of 12%?

• 1.2

• 0.012

• 0.12

• 12.0

What is the purpose of setting up a division problem in this context?

• To solve a complex equation

• To determine the difference between two numbers

• To calculate the sum of two numbers

• To find the missing number in a multiplication problem

What is the result of dividing 75 by 0.12?

• 75

• 12

• 625

• 0.12

What is the first step in solving the long division problem?

• Multiply the numbers

• Add a decimal point

• Divide the numbers

• Subtract the numbers

How many times does 12 go into 75 during the long division process?

• 5 times

• 6 times

• 7 times

• 8 times

What is the remainder when 75 is divided by 12?

• 3

• 5

• 0

• 7

What is the final answer to the problem presented in the video?

• 0.12

• 75

• 625

• 12