Common Core: 7th Grade Math

Explore the foundational concepts of mathematics through engaging problem-solving and real-world applications in 7th grade.

Basic Concepts

Operations with Rational Numbers

What Are Rational Numbers?

Rational numbers are numbers that can be written as fractions, including whole numbers, decimals, and negative numbers.

Adding and Subtracting

To add or subtract rational numbers, make sure they have the same denominator if they're fractions. For decimals, line up the decimal points.

Multiplying and Dividing

Multiply across numerators and denominators for fractions. When dividing, multiply by the reciprocal of the divisor.

Why It Matters

Working with rational numbers helps you manage money, measure ingredients, and keep track of time accurately.

Examples

  • Adding: \( -\frac{3}{4} + \frac{1}{2} = -\frac{1}{4} \)

  • Dividing decimals: \( 3.6 \div 0.4 = 9 \)

In a Nutshell

Learn to add, subtract, multiply, and divide positive and negative fractions and decimals.