Understanding Quotients and Remainders

The video tutorial explains how to solve a division problem with a remainder. It begins by introducing the problem and then explains the concept of quotients without remainders. The tutorial progresses to discuss quotients with remainders, using examples to illustrate the concepts. The main problem, 721 divided by x equals 37 with a remainder of 18, is solved step-by-step. The solution is verified, and the tutorial concludes by confirming the value of x as 19.

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

• To find the value of the quotient

• To determine the remainder

• To calculate the dividend

• To find the value of the divisor

In a division without a remainder, if 15 divided by 3 equals 5, what is the relationship between these numbers?

• 3 is the divisor

• 15 is the quotient

• 5 is the divisor

• 3 is the remainder

Which equation represents a division with a remainder?

• A = C * B

• A / B = C

• C * B + D = A

• C * B = A

What must be true for the equation 37 * x + 18 = 721?

• x must be 19

• x must be 18

• x must be 37

• x must be 721

How many times does 37 fit into 351?

• 7 times

• 10 times

• 8 times

• 9 times

What is the remainder when 721 is divided by 37?

• 18

• 19

• 721

• 37

What property of multiplication is used to solve the problem?

• Associative property

• Commutative property

• Distributive property

• Identity property

What is the value of x in the equation 721 / x = 37 with a remainder of 18?

• 18

• 37

• 721

• 19

Which of the following equations confirms the solution to the problem?

• 721 / 37 = 18

• 721 / 19 = 37

• 37 * 18 + 19 = 721

• 19 * 37 + 18 = 721

What is the final conclusion about the divisor in the original problem?

• The divisor is 19

• The divisor is 18

• The divisor is 37

• The divisor is 721