Comparing and Ordering Rational Numbers

This video tutorial covers the comparison and ordering of rational numbers, both positive and negative. It explains how to use a number line for comparison, the importance of common denominators, and converting fractions to decimals. The tutorial also includes practical examples and exercises to reinforce the concepts.

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

• A number line

• A ruler

• A calculator

• A protractor

Which of the following is true when comparing a positive and a negative rational number?

• The negative number is always greater

• The positive number is always greater

• They are always equal

• It depends on the magnitude

On a number line, which number is greater: -1.25 or -1.4?

• They are equal

• -1.4

• Cannot be determined

• -1.25

When comparing -4.5 and -4.49, which statement is correct?

• -4.49 is greater than -4.5

• Cannot be determined

• They are equal

• -4.5 is greater than -4.49

How do you compare -3/8 and -5/16?

• Compare their denominators directly

• Convert them to decimals

• Find a common denominator

• Compare their numerators directly

What is the decimal equivalent of 8/15?

• 0.6

• 0.53

• 0.5333...

• 0.5

Which of the following is true for -0.53 and -8/15?

• -8/15 is greater than -0.53

• They are equal

• -0.53 is greater than -8/15

• Cannot be determined

What is the correct order from least to greatest for the numbers: -2.88, -2.46, -2.1?

• -2.88, -2.46, -2.1

• -2.1, -2.46, -2.88

• -2.46, -2.88, -2.1

• -2.1, -2.88, -2.46

Which of the following is the greatest number: -7.78, -7.65, -7.17?

• They are all equal

• -7.17

• -7.78

• -7.65

If you have the numbers -1.7, 1.7, and 3.25, which is the smallest?

• 1.7

• 3.25

• -1.7

• They are all equal