Comparing and Ordering Rational Numbers

This video tutorial guides sixth-grade students through the process of comparing and ordering rational numbers, including fractions, decimals, and percents, with the addition of negative numbers. The instructor explains how to use number lines and various strategies, such as cross-multiplication, to determine the order of numbers. Students are encouraged to practice these skills and are provided with examples to reinforce their understanding.

What is the main difference when comparing and ordering rational numbers compared to just fractions and decimals?

• Different mathematical operations

• Inclusion of negative numbers

• No difference

• Use of larger numbers

When comparing two negative decimals, which one is smaller?

• The one farther from zero

• The one with more decimal places

• The one with fewer decimal places

• The one closer to zero

How do you compare a positive number and a negative number?

• The negative number is always greater

• The positive number is always greater

• It depends on the magnitude

• They are equal

Which of the following is true for comparing two negative fractions with the same numerator?

• The fraction with the larger denominator is smaller

• They are equal

• The fraction with the smaller denominator is smaller

• The fraction with the larger numerator is smaller

If you have a negative mixed number and a negative decimal, how should you compare them?

• Compare the whole numbers first

• Convert both to fractions

• Convert both to decimals

• Compare the decimal parts first

Which of the following is true when ordering rational numbers from least to greatest?

• Positive numbers come before negative numbers

• Negative numbers come before positive numbers

• Fractions come before decimals

• Decimals come before fractions

When comparing two negative numbers, which one is greater?

• The one closer to zero

• The one farther from zero

• The one with fewer digits

• The one with more digits

How do you determine the order of mixed numbers and decimals?

• Use a number line

• Compare the fractional parts first

• Compare the whole numbers first

• Convert them to the same form

What is the correct order from least to greatest for the numbers: -7.2, -5.75, 3.125, 9?

• -7.2, -5.75, 3.125, 9

• 9, 3.125, -5.75, -7.2

• -5.75, -7.2, 3.125, 9

• 3.125, -7.2, -5.75, 9

Which of the following is true when comparing two positive fractions?

• The fraction with the larger numerator is greater

• The fraction with the smaller numerator is greater

• The fraction with the larger denominator is greater

• The fraction with the smaller denominator is greater