Comparing and Ordering Rational Numbers

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Presentation transcript:

Comparing and Ordering Rational Numbers 2.3 Comparing and Ordering Rational Numbers How do you compare and order rational numbers?

Texas Essential Knowledge and Skills The student is expected to: Number and operations—6.2.D Order a set of rational numbers arising from mathematical and real-world contexts. Mathematical Processes 6.1.D Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.

ADDITIONAL EXAMPLE 1 A B Order 0.4, , and from least to greatest.

ADDITIONAL EXAMPLE 2 Mr. Williams bought four boards. Each board was supposed to be 6 feet long. The table shows the difference between the length of each board and 6 feet. Order the numbers from least to greatest.

2.3 LESSON QUIZ 6.2.D Andy, Dana, and Becky each worked on homework for an hour. The table shows what part of homework time each spent on math and English.

Andy, Dana, and Becky each worked on homework for an hour Andy, Dana, and Becky each worked on homework for an hour. The table shows what part of homework time each spent on math and English. 1. Who spent the most time on math? Andy

Andy, Dana, and Becky each worked on homework for an hour Andy, Dana, and Becky each worked on homework for an hour. The table shows what part of homework time each spent on math and English. 2. Order the times spent on English from least to greatest.

Andy, Dana, and Becky each worked on homework for an hour Andy, Dana, and Becky each worked on homework for an hour. The table shows what part of homework time each spent on math and English. 3. List all the fractions and decimals given in the table from least to greatest.

Andy, Dana, and Becky each worked on homework for an hour Andy, Dana, and Becky each worked on homework for an hour. The table shows what part of homework time each spent on math and English. 4. Order the set of fractions and decimals below from least to greatest.

The absolute value of the mystery Have students use the given information to find the Mystery Number. After students solve the number puzzle, ask them to share the methods they used to identify the number. Then encourage students to write a similar number puzzle and challenge other students to solve it. Mystery Number 1. The absolute value of the mystery number is less than but greater than .

2. The mystery number is to the left of 0 on the number line. 3. When written as a decimal, the mystery number requires 2 places to the right of the decimal point. 4. As a fraction in simplest form, the denominator is 20 and the numerator is an odd number. Answer: The Mystery Number is –0.15 or .

How do you compare and order rational numbers? You can write them as equivalent decimals and then compare them.