Comparing and Ordering Rational Numbers

The video tutorial covers the comparison and ordering of rational numbers, including fractions and decimals. It introduces three strategies: using common denominators, cross multiplication, and converting between fractions and decimals. The tutorial emphasizes the importance of understanding positive and negative signs and provides examples to illustrate each strategy. It also highlights the use of the FDP chart for conversions and encourages practice with these methods.

What type of numbers are considered rational numbers?

• Only whole numbers

• Only fractions

• Only integers

• Numbers that can be expressed as fractions, including decimals

Which of the following is NOT a strategy to compare and order rational numbers?

• Using common denominators

• Cross-multiplication

• Converting to decimals

• Using logarithms

When using common denominators, what is the first step?

• Add the fractions

• Find a common denominator

• Subtract the fractions

• Convert fractions to decimals

If you have the fractions 5/8 and 7/12, which strategy can you use to compare them?

• Convert to mixed numbers

• Cross-multiplication

• Add the fractions

• Subtract the fractions

What is the result of cross-multiplying 5/8 and 7/12?

• 56 and 60

• 35 and 84

• 60 and 56

• 40 and 84

Why might you convert improper fractions to decimals?

• Improper fractions cannot be compared

• Decimals are easier to compare

• Decimals are always larger

• Improper fractions are always negative

What is the decimal form of the fraction 18/4?

• 4.5

• 4.75

• 4.05

• 4.25

When comparing negative decimals, which statement is true?

• Negatives that look bigger are actually smaller

• Negatives that look smaller are actually bigger

• All negative numbers are equal

• Negatives are always greater than positives

What is the fraction form of the decimal 4.05?

• 4 and 5/10000

• 4 and 5/100

• 4 and 5/1000

• 4 and 5/10

Which of the following is NOT a recommended practice tip?

• Use the FDP chart

• Use logarithms to compare

• Convert decimals to fractions

• Convert fractions to decimals