Comparing and Ordering Rational Numbers

This video tutorial covers the concepts of comparing and ordering rational numbers. It begins with an introduction to rational numbers and the importance of common and least common denominators. The tutorial then explains how to use comparison symbols and number lines to compare numbers. It provides detailed steps for finding common denominators and applies these concepts to real-world examples and practice problems. The video emphasizes the importance of converting numbers into a common form, such as decimals or fractions, to simplify comparisons.

What is a common denominator?

• A number that is smaller than both denominators

• A number that both denominators can divide into

• A number that is larger than both denominators

• A number that is a multiple of only one denominator

Which of the following is a rational number?

• e

• 1/2

• π

• √2

What is the smallest number both denominators go into called?

• Greatest common divisor

• Least common multiple

• Common factor

• Least common denominator

Which symbol represents 'greater than'?

• ≤

• >

• =

• <

If -1 and 1/6 are compared, which statement is true?

• -1 is less than 1/6

• -1 is greater than 1/6

• -1 is equal to 1/6

• Cannot be determined

What is the common denominator for 6 and 9?

• 12

• 18

• 24

• 36

Which of the following fractions is equivalent to 0.75?

• 3/4

• 1/4

• 1/2

• 2/3

In the context of comparing rational numbers, what does a negative sign indicate?

• The number is positive

• The number is closer to zero

• The number is equal to zero

• The number is further from zero

How do you convert a fraction to a decimal?

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

• Subtract the numerator from the denominator

• Add the numerator and the denominator

Which of the following is the correct order from least to greatest: 0.02, 0.1, 1/8, 2/3?

• 0.1, 0.02, 1/8, 2/3

• 0.02, 1/8, 0.1, 2/3

• 0.02, 0.1, 1/8, 2/3

• 2/3, 0.1, 1/8, 0.02