Rational Numbers and Decimals

This video tutorial covers the concept of rational numbers, explaining how they can be expressed as the ratio of two integers. It discusses the properties of rational numbers, including terminating and repeating decimals. The tutorial also demonstrates how to convert mixed numbers and decimals into rational numbers and how to order fractions and decimals. Finally, it applies these concepts to real-world scenarios, such as comparing times in a triathlon.

What is a rational number?

• A number that is always negative

• A number that cannot be divided

• A number that is always positive

• A number that can be written as a ratio of two integers

Which of the following is a terminating decimal?

• 0.25

• 0.333...

• 0.666...

• 0.999...

In the example of dividing clay blocks, what is the fraction representing the division?

• 2/3

• 1/4

• 4/3

• 3/4

How do you convert a mixed number like 3 and 2/5 into a rational number?

• Multiply the whole number by the denominator and add the numerator

• Add the whole number to the numerator

• Divide the whole number by the denominator

• Subtract the numerator from the whole number

What is the decimal equivalent of 1/4?

• 0.1

• 0.25

• 0.75

• 0.5

How would you express the whole number 34 as a rational number?

• 34/1

• 1/34

• 34/0

• 0/34

Which of the following fractions is equivalent to 0.75?

• 1/2

• 3/4

• 2/3

• 1/4

In the triathlon example, who was the fastest runner?

• John

• Mike

• Tom

• Sue

What is the first step in ordering a combination of decimals and fractions?

• Convert all numbers to fractions

• Convert all numbers to decimals

• Add all numbers together

• Subtract all numbers

Which number is greater: 0.6 or 0.85?

• 0.85

• Cannot be determined

• They are equal

• 0.6