Solving Proportions and Cross Multiplication

The video tutorial explains how to solve a proportion problem using cross multiplication. It starts with the problem statement, 6/10 = 3/n, and demonstrates the cross multiplication method to find the value of n. The tutorial walks through multiplying the terms across the equation, simplifying, and solving for n by dividing. The final solution is n = 5, which is verified by checking the multiplication. The tutorial emphasizes understanding the cross multiplication technique and solving for variables in proportions.

What is the first step in solving a proportion problem?

• Simplify both sides

• Identify the proportion

• Subtract the numbers

• Add the numbers

What is the given proportion in the problem?

• 3 over 10 equals 6 over n

• n over 3 equals 10 over 6

• 10 over 6 equals n over 3

• 6 over 10 equals 3 over n

What method is used to solve the proportion without simplifying?

• Cross addition

• Cross subtraction

• Cross multiplication

• Cross division

What do you multiply 10 by in the cross multiplication method?

• 3

• n

• 6

• 10

What is the result of multiplying 10 by 3?

• 60

• 10

• 30

• 3

What do you multiply 'n' by in the cross multiplication method?

• 3

• 6

• 10

• n

What is the expression obtained after cross multiplication?

• 6n = 30

• 10n = 30

• n = 6

• 3n = 10

What operation is used to isolate 'n' in the equation 6n = 30?

• Multiplication

• Addition

• Division

• Subtraction

What do you divide both sides by to solve for 'n'?

• 6

• 30

• 3

• 10

What is the value of 'n' after solving the equation?

• 10

• 6

• 3

• 5