Comparing Integers and Other Rational Numbers

Comparing Integers and Other Rational Numbers

By Jelyn Conrad

Objective:

By Jelyn Conrad

​Students compare and interpret rational numbers' order on the number line, making statements that relate the numbers' location on the number line to their order. Students apply their prerequisite knowledge of place value, decimals, and fractions to compare integers and other rational numbers. Students relate integers and other rational numbers to real-world situations and problems.

Steps when ordering rational numbers:

By Jelyn Conrad

To Order Fractions, Decimals & Percents:

1. Convert all numbers to a common format. (Hint: look for the conversion that is easiest)

2. Put them in the required ordered. (Least to Greatest or Greatest to Least)

3. Rewrite in the original format.

​Example 1:

Mrs. Smith bought 3 packages of ground beef at the supermarket. The weights of the packages were 2.41 pounds, 12/3 pounds, 22/5 pounds, and 1.62 pounds. Put the packages in order from least to greatest on a number line. Justify your thinking.​

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Answer to ​Example 1:

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​Example 2:

The following table shows the temperature for 5 days in Madison, Wisconsin during the month of January.

Using the data from the table, put the temperatures in order from coldest to warmest.​

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Answer to ​Example 2:

COLDEST TO WARMEST:​

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-2.4, -1.3, 0.7, 2.6, 3.2 ​

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Answer to ​Example 2: (work alone)

Let’s Review:

Order the following decimals from least to greatest:

1) 0.402, 0.42, 0.375, 1.2

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2) 0.3𝟐, 2.𝟓, 0.321, 2.52​

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