Comparing Rational Numbers on a Number Line

The video tutorial explains how to compare rational numbers using a number line. It covers examples of comparing positive and negative numbers, introduces the concept of absolute value, and demonstrates how to convert fractions to decimals for comparison. The video concludes with practice problems and solutions to reinforce the concepts learned.

What is the purpose of using a number line when comparing rational numbers?

• To find the sum of the numbers

• To determine which number has less value

• To convert numbers to fractions

• To find the product of the numbers

On a number line, which direction indicates a smaller value?

• Upwards

• Downwards

• To the left

• To the right

In the first example, which number is smaller: 4 or 1?

• 4

• 1

• Both are equal

• Cannot be determined

In the second example, which number is smaller: -5 or -2?

• Cannot be determined

• -2

• Both are equal

• -5

What do the bars around a number signify?

• Fraction

• Decimal

• Absolute value

• Negative value

How do you find the absolute value of a number?

• By converting it to a fraction

• By adding 1 to the number

• By finding its distance from zero on a number line

• By multiplying the number by 2

What is the absolute value of -3?

• 6

• 0

• 3

• -3

In the final example, what is the decimal equivalent of -1/2?

• -0.7

• -0.5

• -0.2

• -1.0

Which number is smaller: -0.7 or -0.5?

• Cannot be determined

• Both are equal

• -0.5

• -0.7

What should you do if you get a practice problem wrong?

• Review the video and find your mistake

• Ignore it

• Ask a friend for the answer

• Guess the answer