Comparing and Ordering Rational Numbers: Decimals and Fractions

The video tutorial explains how to compare and order rational numbers, focusing on fractions and decimals. It covers methods for comparing decimals, including handling negative numbers and adding zeros for equal decimal places. The tutorial also discusses comparing fractions by converting them to decimals, finding common denominators, and using cross multiplication. Key concepts include understanding the reversal of order with negative numbers and simplifying comparisons by focusing on numerators.

What is the first step in comparing decimals?

• Add zeros to equalize decimal places

• Compare the whole numbers

• Convert to fractions

• Find a common denominator

How do you handle comparing negative decimals?

• Add zeros to equalize decimal places

• Ignore the negative sign

• Reverse the order of comparison

• Convert to fractions

When comparing 0.245 and 0.24, what should you do first?

• Add a zero to 0.24

• Compare the whole numbers

• Convert to fractions

• Find a common denominator

What is the repeating decimal for two-thirds?

• 0.666

• 0.6

• 0.66

• 0.625

What is the lowest common denominator for 5/8 and 2/3?

• 16

• 24

• 3

• 8

How do you compare fractions using cross multiplication?

• Convert to decimals first

• Multiply the denominators

• Find a common numerator

• Multiply diagonally and compare the results

What is the result of cross multiplying 5/8 and 2/3?

• 15 and 16

• 16 and 15

• 24 and 35

• 35 and 24

When comparing negative fractions, what should you remember?

• Ignore the negative sign

• Add zeros to equalize decimal places

• Convert to decimals

• Reverse the order of comparison

What is the common denominator for -4/7 and -5/6?

• 7

• 35

• 6

• 42

What is the benefit of using cross multiplication over finding a common denominator?

• It is easier to understand

• It involves less multiplication

• It is more accurate

• It is faster