Operations with Mixed Numbers and Decimals

The video tutorial covers multiplying and dividing mixed numbers and decimals without using a calculator. It begins with converting mixed numbers to improper fractions for multiplication, followed by methods for multiplying decimals. The tutorial then transitions to division, explaining how to handle mixed numbers and decimals, including long division techniques. The instructor emphasizes understanding the process and provides examples to illustrate each concept.

What is the first step in multiplying mixed numbers?

• Convert them to decimals

• Add them together

• Convert them to improper fractions

• Divide them by integers

How do you convert 3 and 2/3 into an improper fraction?

• Multiply 3 by 2 and add 3

• Multiply 2 by 3 and add 2

• Multiply 2 by 3 and add 3

• Multiply 3 by 3 and add 2

When multiplying a mixed number by a negative integer, what is the sign of the result?

• Zero

• Negative

• Positive

• Undefined

What method is used to multiply decimals in the video?

• Box method

• Long division

• Stack and multiply

• Cross multiplication

How many decimal places should be in the result of 6.2 multiplied by 8?

• Three

• One

• None

• Two

What is the result of 0.75 multiplied by -2?

• 1.5

• 0.15

• -0.15

• -1.5

What is the first step in dividing mixed numbers?

• Add the fractions

• Convert to improper fractions

• Flip the second fraction

• Convert to decimals

How do you handle division when the divisor is a decimal?

• Divide both numbers by 10

• Multiply both numbers by 10

• Convert the divisor to an integer

• Ignore the decimal

What is the result of dividing 3.6 by 2?

• 1.8

• 36

• 18

• 0.18

What is the result of dividing 4.8 by -0.3?

• -1.6

• 16

• -16

• 1.6