6th Grade Math: Comparing and Ordering Rational Numbers

What is the main focus of the video presented by Shea Jackson?

• Exploring scientific methods

• Reviewing for the 2022 Texas STAR Math Test

• Learning about algebraic expressions

• Understanding geometry concepts

What is the first step in comparing fractions with unlike denominators?

• Convert fractions to decimals

• Add the fractions directly

• Subtract the smaller fraction from the larger one

• Find the least common multiple (LCM)

In the example comparing one-third and one-fourth, what is the least common multiple (LCM) used?

• 24

• 12

• 8

• 6

What is the equivalent fraction of one-third when the LCM is 12?

• 5/12

• 6/12

• 4/12

• 3/12

In the problem involving wire diameters, what is the least common multiple (LCM) for the denominators 16, 2, 8, and 32?

• 32

• 24

• 48

• 16

Which fraction is equivalent to 5/16 when the LCM is 32?

• 25/32

• 10/32

• 20/32

• 15/32

What is the equivalent fraction of 3/8 when the LCM is 32?

• 18/32

• 15/32

• 12/32

• 9/32

What is the equivalent fraction of 1/2 when the LCM is 32?

• 18/32

• 16/32

• 20/32

• 14/32

What is the correct order of the fractions from least to greatest in the wire diameter problem?

• 3/8, 1/2, 5/16, 7/16, 9/32, 15/32

• 1/2, 3/8, 5/16, 7/16, 9/32, 15/32

• 9/32, 5/16, 3/8, 7/16, 15/32, 1/2

• 7/16, 5/16, 3/8, 1/2, 9/32, 15/32

Which answer choice correctly matches the ordered list of fractions from the problem?

• F

• J

• G

• H