Comparing Rational Numbers Using a Number Line

The video tutorial by Mr. J explains how to compare rational numbers using a number line. It covers basic comparisons, including positive and negative numbers, and demonstrates how to convert fractions to decimals for easier comparison. The tutorial also explains the importance of placing numbers in the same form and provides examples of comparing improper fractions and mixed numbers. The video concludes with advanced comparisons involving decimals, emphasizing the concept that numbers further to the right on the number line are greater in value.

What is the position of positive numbers on a number line relative to zero?

• To the left of zero

• To the right of zero

• Above zero

• Below zero

Which direction do numbers increase in value on a number line?

• Downwards

• Upwards

• To the right

• To the left

Which number is greater: -2 or -4?

• -2

• -4

• They are equal

• Cannot be determined

When comparing 6 and 3/4 to 6.5, which is greater?

• 6 and 3/4

• 6.5

• They are equal

• Cannot be determined

How do you convert the improper fraction 17/5 to a mixed number?

• 4 and 2/5

• 3 and 1/5

• 3 and 2/5

• 2 and 2/5

Which is greater: 3 or 17/5?

• 3

• 17/5

• They are equal

• Cannot be determined

What is the decimal form of 9/10?

• 0.19

• 0.9

• 0.09

• 0.99

Which is greater: -0.25 or 0.9?

• They are equal

• Cannot be determined

• 0.9

• -0.25

Where would -8.7 be placed on a number line relative to -8.85?

• At the same position as -8.85

• Cannot be determined

• To the right of -8.85

• To the left of -8.85

Which is greater: -8.7 or -8.85?

• They are equal

• Cannot be determined

• -8.85

• -8.7