Decimal Inequalities – Addition and Subtraction


Decimal Inequalities – Addition and Subtraction introduces students to solving inequality equations that contain decimal values. Students will apply their knowledge about inequalities with whole numbers to this lesson. They will learn to simplify numbers by either adding or subtracting before comparing two numbers. By the end of the lesson, they will be able to compare decimal inequalities correctly.

There are several suggestions listed in the “Options for Lesson” section of the classroom procedure page. One option is to review inequalities with whole numbers before starting decimals. If you have students who are struggling, you can let those students use a place value chart to help them figure out problems. For advanced students, have them practice problems with smaller numbers. You may also want to have graph paper available to help students keep the decimal point aligned.

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What our Decimal Inequalities – Addition and Subtraction lesson plan includes

Lesson Objectives and Overview: Decimal Inequalities – Addition and Subtraction teaches students how to solve inequality expressions that involve adding and subtracting. Students will apply their knowledge of inequalities to decimal values. They will learn to simplify decimals by adding or subtracting them. Then they can determine which inequality symbol makes a statement true.

The three content pages in this lesson first remind students what inequalities are. The lesson displays a place value chart as a reminder and then describes how to solve inequalities that contain decimals. Students will walk through three examples to solidify their knowledge. Each example contains either addition or subtraction. Students will have to add two decimal values on one or more sides of the equation before they can compare the two numbers.


You can have students work alone, in partners, or in small groups for the activity. Students will have to solve four or more problems and illustrate the addition or subtraction on 10 x 10 grids. They will then write in sentence form how to solve the inequality. Finally, they will solve the problem numerically. There is space next to the four problems on the worksheet for students to write their sentences and show their work.


For the practice worksheet, students must solve 10 inequality equations. They will first need to add or subtract the decimals depending on the question. Once they figure out the simplified numbers, they can write the correct inequality symbol that makes the statement true.


The homework assignment mimics the practice worksheet. Students must simplify the decimals and figure out which inequality symbol makes 10 statements true.


The quiz contains a table with three columns and then two inequality statements. Students must draw the correct symbol that represents less than, equal to, and greater than in the table. Then they will have to figure out which symbol makes the two statements true.

Additional information


4th Grade, 5th Grade



State Educational Standards


Lessons are aligned to meet the education objectives and goals of most states. For more information on your state objectives, contact your local Board of Education or Department of Education in your state.