Dividing Numbers and Properties

This video tutorial teaches how to divide a four-digit number by a two-digit number using long division. It begins with an introduction to division, explaining multiplication and division as inverse operations. The tutorial then details the long division algorithm and demonstrates the use of the distributive property in mental math. A step-by-step example problem is solved, dividing 3145 by 37, to illustrate the process. The video concludes with a summary of the division process.

What is the first step in dividing a four-digit number by a two-digit number?

• Ask if the first digit can be divided by the two-digit number.

• Use a calculator.

• Multiply the numbers directly.

• Split the four-digit number into smaller parts.

Which of the following statements is true about multiplication and division?

• They are unrelated operations.

• They are inverse operations.

• Multiplication is always larger than division.

• Division is always larger than multiplication.

In the long division algorithm, what is the term for the number being divided?

• Divisor

• Quotient

• Dividend

• Remainder

How can the distributive property be used in mental math?

• By adding numbers directly.

• By dividing numbers into smaller parts and adding separately.

• By subtracting numbers directly.

• By splitting numbers into smaller parts and multiplying separately.

What is the result of 12 times 34 using the distributive property?

• 340

• 400

• 360

• 408

When dividing 3145 by 37, what is the first number you check for divisibility?

• 3145

• 3

• 31

• 314

What is the closest product of 37 that is less than 314?

• 333

• 296

• 370

• 185

How many students are in each group when 3145 students are divided into 37 groups?

• 80

• 75

• 90

• 85

What is the remainder when 3145 is divided by 37?

• 10

• 5

• 0

• 1

What are the factors in the division of 3145 by 37?

• 37 and 85

• 37 and 3145

• 3145 and 37

• 3145 and 85