Comparing Rational Numbers: Strategies and Examples

In this video, Mr. J explains how to compare rational numbers through a series of examples. The tutorial begins with basic comparisons that do not require conversion between decimals and fractions. As the video progresses, more complex examples are introduced, necessitating the conversion of numbers into a common form for accurate comparison. The video emphasizes the importance of using common denominators and converting between decimals and fractions to simplify the comparison process.

Why is it helpful to write both rational numbers in the same form when comparing them?

• It helps in easily identifying which number is larger or smaller.

• It makes the numbers easier to add.

• It makes the numbers look nicer.

• It is required by mathematical rules.

In the comparison 3.99 and 6 1/8, which number is greater?

• Cannot be determined

• 3.99

• 6 1/8

• They are equal

When comparing -51 and -44, which statement is true?

• Cannot be determined

• -51 is greater than -44

• -44 is greater than -51

• They are equal

Which is greater: 2 or -7 3/4?

• -7 3/4

• Cannot be determined

• 2

• They are equal

How can you simplify the fraction 5/10?

• 10/5

• 2/1

• 5/5

• 1/2

What is the least common denominator for 8 and 12?

• 36

• 24

• 12

• 8

Which decimal is equivalent to 5/8?

• 0.625

• 0.5

• 0.75

• 0.8

What is -1.9 in hundredths place?

• -1.90

• -1.99

• -1.09

• -1.00

What is the decimal form of 1/3?

• 0.3333

• 0.3

• 0.33

• 0.333...

What is the least common denominator for 3 and 10?

• 60

• 3

• 30

• 10