Comparing and Converting Rational Numbers

This lesson teaches how to compare and order rational numbers by converting between fractions, decimals, and percents. It emphasizes understanding anchor numbers like halves, thirds, fourths, and fifths to facilitate comparison. The lesson includes a practical example of choosing the smallest tax deduction and demonstrates ordering rational numbers from least to greatest.

What is the primary goal of this lesson?

• To convert whole numbers into fractions.

• To memorize all rational numbers.

• To understand how to compare and order rational numbers.

• To learn how to add and subtract rational numbers.

Which of the following is equivalent to 25% as a fraction?

• 1/2

• 1/4

• 1/3

• 1/5

If you want the smallest tax deduction, which fraction should you choose?

• 2/5

• 1/5

• 1/4

• 3/4

How can you express 0.2 as a fraction?

• 2/10

• 1/5

• 1/4

• 2/5

Which of the following is greater: 76% or 9/10?

• Cannot be determined

• 76%

• 9/10

• They are equal

What is the decimal equivalent of 5/6 rounded to the nearest hundredth?

• 0.75

• 0.90

• 0.76

• 0.83

Which of the following is the greatest number?

• 1 3/4

• 5/6

• 0.9

• 0.76

What is the decimal representation of 9/10?

• 0.76

• 0.9

• 0.83

• 0.75

Which of the following is equivalent to 76% as a decimal?

• 0.9

• 0.83

• 0.76

• 0.75

What is the main method taught in this lesson for comparing rational numbers?

• Using a number line

• Memorizing all possible values

• Converting between fractions, decimals, and percents

• Using a calculator