Mixed Numbers and Remainders

This video tutorial covers the concept of mixed numbers in division, explaining how to write quotients as mixed numbers without remainders. It includes graphical representations and practical examples, such as dividing pot pies among people. The tutorial also provides an algorithm for converting remainders into mixed numbers and concludes with division practice.

What is a mixed number?

• A fraction with a numerator larger than the denominator

• A whole number and a fraction combined

• A number with a decimal point

• A number with a remainder

Which of the following is an example of a mixed number?

• 9/10

• 3.5

• 5 and 1/8

• 7 remainder 2

In a graphical representation, what does the numerator represent?

• The total number of pieces

• The number of shaded pieces

• The number of whole circles

• The number of unshaded pieces

How would you represent 'three and a half' using circles?

• Draw three circles and shade them all

• Draw two whole circles and shade one

• Draw four whole circles

• Draw three whole circles and shade half of another

Why might some quotients be written as mixed numbers?

• To avoid using decimals

• Because remainders are not always practical

• To simplify the calculation

• To make division easier

In the chicken pot pie example, how many pies does each person get?

• Two whole pies

• Two and a third pies

• Three pies

• One and a half pies

What is the first step in converting a quotient with a remainder to a mixed number?

• Subtract the remainder from the dividend

• Multiply the quotient by the divisor

• Use the remainder as the numerator

• Use the divisor as the numerator

If a quotient is 129 remainder 1, what is the mixed number?

• 129 and 1/5

• 130

• 129.1

• 129 and 1/129

When should you use a remainder instead of a mixed number?

• When the divisor is larger than the dividend

• When the problem specifically asks for it

• When the remainder is zero

• When the quotient is a whole number

In the division example, what is the mixed number for 41 remainder 6?

• 42

• 41 and 6/7

• 41.6

• 41 and 6/41