Exploring Adding and Subtracting Rational Expressions

This video tutorial focuses on comparing decimals and fractions, using examples to illustrate different strategies. It covers the use of place value charts and equivalent fractions to determine which numbers are greater, equal, or less. The lesson emphasizes the importance of comparing from left to right and understanding the significance of whole numbers in comparisons. Students are encouraged to use their preferred strategies and check their work.

What is a common misconception about comparing decimals?

• Decimals cannot be compared without conversion

• Shorter decimals are always smaller

• Decimals with more digits are less accurate

• Longer decimals are always larger

Which decimal is greater: 0.8 or 0.43?

• Cannot be determined

• Both are equal

• 0.43

• 0.8

How can 0.8 be written as an equivalent fraction to compare with 0.43?

• 0.8/100

• 8/10

• 8/100

• 80/100

When comparing 2.43 and 1.26, which is greater?

• 1.26

• Both are equal

• 2.43

• Information is insufficient

What should you do if decimals have different denominators?

• Only compare the numerators

• Convert them to have the same denominator

• Ignore the denominators

• Compare them as they are

What is the result of comparing 0.7 and 0.70?

• 0.70 is greater

• They are equal

• Cannot be compared

• 0.7 is greater

How do you convert 0.7 to an equivalent fraction with a denominator of 100?

• 7/10

• 7/100

• 70/100

• 0.07/100

Which is greater: 0.8 or 2.5?

• 0.8

• Cannot be determined

• 2.5

• Both are equal

What symbol is used to show that one value is less than another?

• <

• >

• !=

• =

In comparing decimals, why is it important to look at whole numbers first?

• Decimals cannot be compared without whole numbers

• They are easier to compare

• They determine the larger value

• Whole numbers are always greater