Skills covered in this domain
- Identify opposite quantities that combine to make zero (additive inverses)
- Apply the rule p – q = p + (–q) to rewrite subtraction as addition
- Compute sums and differences of integers using properties of operations
- Compute sums and differences of fractions and decimals with different signs
- Interpret sums and differences of rational numbers in real-world contexts
- Apply sign rules to compute products of two rational numbers
- Apply sign rules to compute quotients of two rational numbers
- Identify that –(p/q) = (–p)/q = p/(–q) for integer values of p and q
- Apply the distributive property to multiply rational numbers
- Convert a rational number to its decimal form using long division
- Solve multi-step problems involving addition and subtraction of rational numbers
- Solve multi-step problems involving multiplication and division of rational numbers
- Convert between fraction, decimal, and percent forms as needed to solve a problem
- Assess the reasonableness of an answer using estimation strategies
The Number System – 7th Grade Math Quiz
Build a solid foundation with rational numbers. You will learn to add, subtract, multiply, and divide positive and negative numbers — skills you will use in every domain that follows.
Skills covered
- Identify opposite quantities that combine to make zero (additive inverses)
- Apply the rule p – q = p + (–q) to rewrite subtraction as addition
- Compute sums and differences of integers using properties of operations
- Compute sums and differences of fractions and decimals with different signs
- Interpret sums and differences of rational numbers in real-world contexts
- Apply sign rules to compute products of two rational numbers
- Apply sign rules to compute quotients of two rational numbers
- Identify that –(p/q) = (–p)/q = p/(–q) for integer values of p and q
- Apply the distributive property to multiply rational numbers
- Convert a rational number to its decimal form using long division
- Solve multi-step problems involving addition and subtraction of rational numbers
- Solve multi-step problems involving multiplication and division of rational numbers
- Convert between fraction, decimal, and percent forms as needed to solve a problem
- Assess the reasonableness of an answer using estimation strategies
3 quizzes in this domain
- 1
Adding and Subtracting Rational Numbers — 7th Grade
Identify opposite quantities that combine to make zero (additive inverses), Apply the rule p – q = p + (–q) to rewrite subtraction as addition, Compute sums and differences of integers using properties of operations…
- 2
Multiplying and Dividing Rational Numbers — 7th Grade
Apply sign rules to compute products of two rational numbers, Apply sign rules to compute quotients of two rational numbers, Identify that –(p/q) = (–p)/q = p/(–q) for integer values of p and q…
- 3
Solving Real-World Problems with Rational Numbers — 7th Grade
Solve multi-step problems involving addition and subtraction of rational numbers, Solve multi-step problems involving multiplication and division of rational numbers, Convert between fraction, decimal, and percent forms as needed to solve a problem…