Comparing and Ordering Rational Numbers

This video tutorial covers lesson 3.4 on comparing and ordering rational numbers, focusing on using number lines and place value for comparison. It includes examples of comparing temperatures and elevations, and demonstrates converting between fractions and decimals to facilitate comparison.

What is the primary tool used to compare and order rational numbers?

• A number line

• A protractor

• A calculator

• A ruler

Which city has a higher average December temperature, Indianapolis or Boise?

• Boise

• Indianapolis

• Both have the same temperature

• Cannot be determined

When comparing decimals, what should you align to make the comparison easier?

• The whole numbers

• The negative signs

• The decimal points

• The fractions

Which fossil was found at a lower elevation, the shell or the fish?

• The shell

• The fish

• Both were found at the same elevation

• Cannot be determined

What is the common denominator used to compare the elevations of the shell and the fish?

• 3

• 2

• 4

• 5

What is the first step in comparing a decimal and a fraction?

• Convert both to fractions

• Convert both to decimals

• Subtract them

• Add them together

Which is greater: -0.1 or -0.8?

• They are equal

• -0.8

• Cannot be determined

• -0.1

What is the decimal equivalent of four-fifths?

• 0.8

• 0.4

• 0.2

• 0.6

On a number line, which direction do numbers become greater?

• Left

• Down

• Right

• Up

What must be true for two numbers to be compared directly?

• They must be in the same form (both fractions or both decimals)

• They must both be positive

• They must both be negative

• They must be whole numbers