Ordering and Comparing Rational Numbers

This video tutorial introduces rational numbers, explaining their definition and providing examples of both rational and non-rational numbers. It covers subgroups of rational numbers, such as integers, whole numbers, and natural numbers. The video also teaches methods for comparing and ordering rational numbers using fractions and decimals, including cross-multiplication and conversion techniques. Finally, it applies these concepts to solve word problems, helping students understand how to determine which numbers are greater or smaller in practical scenarios.

Which of the following is a rational number?

• π (pi)

• √2

• 0.666...

• 1.234567...

What is the term for numbers that include whole numbers and their opposites?

• Rational Numbers

• Integers

• Whole Numbers

• Natural Numbers

Which of the following is NOT a rational number?

• 2/3

• 0.45

• π (pi)

• 4/5

How can you compare two fractions to determine which is larger?

• Convert to whole numbers

• Convert to percentages

• Cross-multiply and compare products

• Add them together

What is the decimal equivalent of 2/3?

• 0.333...

• 0.75

• 0.666...

• 0.5

When comparing negative numbers, which statement is true?

• The number farther from zero is larger

• The number closer to zero is larger

• Negative numbers cannot be compared

• Both numbers are equal

What is the first step in ordering multiple rational numbers?

• Multiply them

• Add them together

• Convert them to decimals

• Convert them to fractions

Which of the following is the correct order from least to greatest for the numbers 0.75, 9/2, 2/3, and 0.8%?

• 0.75, 2/3, 0.8%, 9/2

• 9/2, 0.75, 2/3, 0.8%

• 2/3, 0.8%, 9/2, 0.75

• 0.8%, 2/3, 0.75, 9/2

If Mike made 7/12 of his free-throws and Cameron made 4/7, who had a better record?

• Cameron

• Cannot be determined

• Both had the same record

• Mike

On which day did Rob run faster if he averaged 3.75 laps per minute on Monday and 3 4/5 laps per minute on Tuesday?

• Monday

• Tuesday

• Both days were the same

• Cannot be determined