# Ch 9: SBA Math - Grade 7: Operations with Decimals

### About This Chapter

## SBA Math - Grade 7: Operations with Decimals - Chapter Summary

Across the lessons of this chapter, students will develop a strong grasp of kinds of decimals that can be changed to mixed numbers and understand how to work with multi-step inequalities that have decimals. Upon completion of the chapter, 7th grade students will also be ensured familiarity with these additional SBA Math prep topics:

- How to make decimals become fractions
- Subtraction and addition with decimals
- Decimal division and multiplication
- Estimating decimals to complete word problems
- Guessing and identifying patterns to solve decimal problems

Each of the video lessons takes just about 5 minutes to demonstrate to students how to perform a certain kind of decimal operation. To see where students stand with the material, you can look at the scores they get from the chapter's practice quizzes.

### SBA Math - Grade 7: Operations with Decimals Chapter Objectives

The SBA Math assessments provide information on how a student's subject knowledge and abilities have progressed during the school year. The vast majority of items written for the assessments appear in multiple-choice format. Depending on whether a student gives a right or wrong answer for a multiple-choice item, the following question will be either harder or easier.

### 1. Inequalities with Decimals

In this video lesson, we talk about solving inequalities with decimals. You will learn in what order to take your steps to solve these types of problems.

### 2. Converting Decimals to Mixed Numbers

After watching this video lesson, you should be able to convert easily between decimals and mixed numbers. Learn what kinds of decimals you can and cannot convert to a mixed number.

### 3. Changing Between Decimals and Fractions

In this video lesson, you will learn about the usefulness of knowing how to change quickly between decimals and fractions. You will also learn how changing from a decimal to a fraction is different than changing from a fraction to a decimal.

### 4. Adding and Subtracting Decimals: Examples & Word Problems

In math, we sometimes have to deal with decimal numbers instead of our nice whole numbers. Watch this video lesson to learn the one thing that you have to take into consideration when adding and subtracting decimals.

### 5. Multiplying and Dividing Decimals: Examples & Word Problems

Watch this video lesson to learn what you need to do to get a correct answer when multiplying and dividing decimals. Learn the easy tricks to figuring out where the decimal point goes.

### 6. How to Estimate with Decimals to Solve Math Problems

Watch this video lesson to learn how you can estimate problems with decimals in them so you can get a quick answer when you need it - for example, when you are at the gas station and you need to know how much gas you can afford.

### 7. Estimating Sums, Differences & Products of Decimals

After watching this video lesson, you will be able to estimate any decimal number to help you simplify your math problems. See how easy it is to estimate your answer when you are trying to find the sum, difference, or product.

### 8. Solving Problems Using Decimal Numbers

Problems involving decimal numbers might sound like a way to torture you, but learning how important these types of problems are in the real world is important. In this lesson, you will see a couple areas in life where you routinely encounter decimal number problems.

### 9. Estimation: One & Two Operation Problems with Positive Decimals

After watching this video lesson, you will learn how using estimation can help you simplify your problem so that you can solve it much easier. Learn how estimation can help even when you need to solve for a missing variable.

### 10. Guess and Check: One & Two Operation Problems with Positive Decimals

In this video lesson, you will learn how to use your guessing skills in finding the correct answer to a decimal problem. Learn how you can refine your guess to make an even better guess and get closer to finding your answer.

### 11. Look for a Pattern: One & Two Operation Problems with Positive Decimals

In this video lesson, you will learn how finding a pattern can help you solve one- and two-operation problems involving decimal numbers. Learn what it takes to find a pattern and then to use the pattern to find the answer.

### 12. Solving Multi-Step Inequalities with Decimals

In this video lesson, you will learn the steps that are involved in solving inequalities for an unknown variable. We'll see that the order of operations stays the same, but there's a very significant difference when it comes to negative numbers!

### 13. How to Simplify Expressions Involving Decimals

After watching this video lesson, you should be able to take any expression involving decimals and simplify it. You'll learn what to look for and what things you can combine.

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### Other Chapters

Other chapters within the Smarter Balanced Assessments - Math Grade 7: Test Prep & Practice course

- SBA Math - Grade 7: Basic Arithmetic Operations
- SBA Math - Grade 7: Logic & Mathematical Reasoning
- SBA Math - Grade 7: Number Theory
- SBA Math - Grade 7: Introduction to Fractions
- SBA Math - Grade 7: Operations with Fractions
- SBA Math - Grade 7: Ratios, Rates & Proportions
- SBA Math - Grade 7: Percents
- SBA Math - Grade 7: Introduction to Decimals
- SBA Math - Grade 7: The Coordinate Graph
- SBA Math - Grade 7: Inequalities
- SBA Math - Grade 7: Factoring
- SBA Math - Grade 7: Rational Numbers
- SBA Math - Grade 7: Basic Algebraic Expressions
- SBA Math - Grade 7: Writing Algebraic Expressions
- SBA Math - Grade 7: Algebraic Distribution
- SBA Math - Grade 7: One-Step Equations
- SBA Math - Grade 7: Rational Expressions
- SBA Math - Grade 7: Measurement
- SBA Math - Grade 7: Lines & Angles
- SBA Math - Grade 7: Perimeter & Area
- SBA Math - Grade 7: Surface Area & Volume of Geometric Solids
- SBA Math - Grade 7: Circles
- SBA Math - Grade 7: Data & Graphs
- SBA Math - Grade 7: Statistics
- SBA Math - Grade 7: Samples & Populations
- SBA Math - Grade 7: Probability
- Smarter Balanced Assessments - Math Grade 7 Flashcards