MAP 7th Grade Math

An engaging course covering essential math concepts for 7th grade MAP testing success.

Operations with Rational NumbersProportional RelationshipsExpressions, Equations, and Inequalities
Percents, Discounts, and InterestProbability and StatisticsGeometry: Area, Volume, and Surface Area
Budgeting and Financial PlanningCooking with Ratios and ProportionsSports Statistics
Time Management for Test SuccessElimination and EstimationChecking Your Work
Operations with Rati...Proportional Relatio...Expressions, Equatio...Percents, Discounts,...Probability and Stat...Geometry: Area, Volu...Budgeting and Financ...Cooking with Ratios ...Sports StatisticsTime Management for ...Elimination and Esti...Checking Your Work
Basic Concepts

Operations with Rational Numbers

Understanding Rational Numbers

Rational numbers include all integers, fractions, and decimals that can be written as a ratio of two integers. In 7th grade math, you'll work with positive and negative rational numbers, learning to add, subtract, multiply, and divide them.

How to Perform Operations

  • Addition/Subtraction: Keep track of positive and negative signs. Use a number line to visualize the process.
  • Multiplication/Division: Multiply/divide as usual, and remember that two negatives make a positive!

Why It Matters

Mastering these skills helps you with everything from handling money to measuring ingredients in recipes.

Tips

  • When dealing with decimals, line up the decimal points.
  • For fractions, find a common denominator for addition and subtraction.

Real-World Connection

Think about balancing a budget, where you need to combine positive (income) and negative (expenses) numbers.

Examples

  • Calculating -3.5 + 2.1 using a number line.

  • Multiplying -4 × 1/2 to find the product.

In a Nutshell

Learn to add, subtract, multiply, and divide rational numbers, including positive and negative values.

Key Terms

Rational Number
A number that can be written as a fraction or ratio of two integers.
Integer
A whole number, positive or negative, including zero.
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Proportional Relationships