Multiplying and Dividing Rational Numbers

This video tutorial covers lessons 3.4 and 3.5 on multiplying and dividing rational numbers. It begins with an introduction to the learning goals, followed by detailed instructions and examples on multiplying fractions and decimals. The tutorial then explains dividing fractions using the 'keep change flip' method and concludes with long division for decimals. The lesson ends with practice assignments for students.

What is the first step you should take when multiplying fractions?

• Add the fractions first

• Multiply the numerators and denominators directly

• Simplify the fractions if possible

• Convert fractions to decimals

Why is it easier to simplify fractions before multiplying?

• It helps in finding the GCF of the final product

• It makes the numbers smaller and more manageable

• It eliminates the need for a multiplication chart

• It makes the numbers larger and more complex

In Example 1, what is the final product of the multiplication?

• Positive 2/7

• Negative 2/7

• Positive 7/2

• Negative 7/2

When multiplying a whole number by a fraction, what can be helpful?

• Ignoring the whole number

• Adding the whole number to the fraction

• Rewriting the whole number as a fraction

• Converting the whole number to a decimal

What is the first step when multiplying decimals?

• Ignore the decimal points

• Convert decimals to fractions

• Rewrite the numbers vertically

• Line up the decimal points

How do you determine the number of decimal places in the product of two decimals?

• Count the decimal places in the smaller number

• Add the total number of decimal places in both factors

• Count the decimal places in the larger number

• Subtract the decimal places of the smaller number from the larger number

What is the method called for dividing fractions?

• Keep Change Multiply

• Flip Change Keep

• Flip Change Multiply

• Keep Change Flip

In Example 4, what is the final quotient of the division?

• Negative 5/8

• Positive 5/8

• Negative 8/5

• Positive 8/5

What is the first step when dividing decimals?

• Add the decimal points

• Subtract the decimal points

• Move the decimal point of the divisor to make it an integer

• Convert the dividend to an integer

What is the final quotient in Example 6?

• Positive 6.16

• Negative 16.6

• Positive 16.6

• Negative 6.16