Exploring Basic Division with Remainders

The video tutorial explains how to divide 31 by 7 using pennies to form groups of seven. It demonstrates the process of creating groups, understanding remainders, and exploring division beyond whole numbers into decimals and fractions. The tutorial emphasizes the concept of division as grouping and introduces the idea of a quotient falling between two whole numbers.

What is the initial problem the teacher is trying to solve?

• Subtracting 7 from 31

• Dividing 31 by 7

• Multiplying 31 by 7

• Adding 31 and 7

How many pennies does the teacher start with?

• 31

• 21

• 14

• 7

What is the remainder when 31 is divided by 7?

• 2

• 1

• 3

• 4

How many full groups of seven can be made from 31 pennies?

• 5

• 6

• 4

• 3

What is the product of 7 and 4?

• 28

• 21

• 42

• 35

What is the next step after identifying the remainder in sixth grade?

• Add the remainder to the quotient

• Multiply the remainder by 7

• Convert the remainder into a fraction

• Stop the calculation

What is the lower boundary when dividing 31 by 7?

• 6

• 5

• 4

• 3

What fraction represents the remainder when 31 is divided by 7?

• 3/7

• 6/7

• 4/7

• 5/7

What is the decimal representation of the fraction 3/7?

• 0.3

• 0.4

• 0.428

• 0.5

Where would the quotient of 31 divided by 7 fall on a number line?

• Between 6 and 7

• Between 5 and 6

• Between 3 and 4

• Between 4 and 5